{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f4f05acd-a5aa-45c2-b72b-d326a6e09ae3",
   "metadata": {},
   "source": [
    "# Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "efb2a1b6-e6d4-43be-a14b-c7ada7f3019b",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2fa9cea-d316-4d98-a156-4eb51a391c3f",
   "metadata": {},
   "source": [
    "# Logistic map"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "183a355a-c377-4dae-a9d6-5fa463fb94ee",
   "metadata": {},
   "source": [
    "See https://en.wikipedia.org/wiki/Logistic_map.\n",
    "The ultimate goal of this section is to plot its bifurcation diagram (https://en.wikipedia.org/wiki/Bifurcation_diagram).\n",
    "We will approach it by steps, studying various properties of the map. This will give us the chance to review most of the topics introduced in the first few lectures."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9d59135-295d-4117-8d2c-068ad625951b",
   "metadata": {},
   "source": [
    "Let's start by defining a function that, given the population ratio xn at step n, returns the population ratio at n+1 (I'll use step and generation interchangeably)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "56bd9a8b-4567-49c8-92ff-0ec9f8a2d53a",
   "metadata": {},
   "outputs": [],
   "source": [
    "def logistic(xn, r):\n",
    "    return r*xn*(1-xn)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3bb8138-c7ec-4b19-8233-9c349e9995ce",
   "metadata": {},
   "source": [
    "We can iterate it a few time and plot the population ratio as a function of the generation, for certain initial condition and reproduction rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d7fd3b5e-f5fe-4d7b-8dda-fff8c32748e5",
   "metadata": {},
   "outputs": [],
   "source": [
    "r = 2.3\n",
    "x0 = .5\n",
    "\n",
    "steps = [x for x in range(1, 101)]\n",
    "population_ratio = []\n",
    "\n",
    "\n",
    "xn_m1 = x0\n",
    "for x in steps:\n",
    "    xn = logistic(xn_m1, r)\n",
    "    xn_m1 = xn\n",
    "    population_ratio.append(xn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d65e2288-2b6c-4253-91c1-5b6e314d5113",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(steps, population_ratio)\n",
    "\n",
    "plt.xlim(steps[0], steps[-1])\n",
    "plt.ylabel(\"Population ratio\")\n",
    "plt.xlabel(\"Generation\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "249fdd96-6f27-4b20-9636-5a0ae18831bd",
   "metadata": {},
   "source": [
    "We that after a few generation the system reches an equilibrium. We may want to check if there is any dependence on the initial conditions. To do so we'll need to evolve the system multiple times. Thus, it's convenient to write a different fuction which does that. One possibility is to use a generator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ca02add5-e443-4349-b940-8758663391a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def logistic_generator(xn, r, total_iterations):    \n",
    "    for i in range(total_iterations):\n",
    "        xn_p_1 = logistic(xn, r)\n",
    "        yield xn_p_1\n",
    "        xn = xn_p_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "de7f4a66-2368-4b27-90a7-d5b256e2e7f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.48, 0.4992, 0.49999872, 0.4999999999967232, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[x for x in logistic_generator(0.4, 2., 10)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "efcf6dad-4cb4-4a41-b60b-24244e6e819d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_steps = 10\n",
    "\n",
    "steps = np.linspace(1, num_steps, num_steps)\n",
    "\n",
    "plt.plot(steps, [x for x in logistic_generator(0.4, 2., num_steps)], label=\"x0 = 0.4\", c=\"k\")\n",
    "plt.plot(steps, [x for x in logistic_generator(0.3, 2., num_steps)], label=\"x0 = 0.3\")\n",
    "\n",
    "plt.legend(frameon=False)\n",
    "\n",
    "plt.xlim(steps[0], steps[-1])\n",
    "plt.ylabel(\"Population ratio\")\n",
    "plt.xlabel(\"Generation\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f8bd286-63a8-473e-b40b-0f3474bb27ab",
   "metadata": {},
   "source": [
    "Adding new lines to plot by hand is time consuming (and prone to error! For example you might forget to update the label). We can use a for loop instead"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1b87cd02-d60b-4c81-aa54-bae5e2daa880",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_steps = 10\n",
    "\n",
    "steps = np.linspace(1, num_steps, num_steps)\n",
    "\n",
    "for x0 in np.linspace(.1, .5, 5):\n",
    "    plt.plot(steps, [x for x in logistic_generator(x0, 2., num_steps)], label=\"x0 = %.2f\"%x0, c=plt.cm.viridis(int(x0*400)))\n",
    "\n",
    "plt.legend(frameon=False)\n",
    "plt.xlim(steps[0], steps[-1])\n",
    "plt.ylabel(\"Population ratio\")\n",
    "plt.xlabel(\"Generation\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6384c915-107c-41a0-b148-71cd72c526d4",
   "metadata": {},
   "source": [
    "We empirically convinced ourselves that even after a few generations there is little to no memory of the initial conditions. Therefore, it might be more interesting to study the dependence on the rate r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "f202d8f5-6f0d-4dd7-9464-593ed97bb705",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_steps = 100\n",
    "\n",
    "steps = np.linspace(1, num_steps, num_steps)\n",
    "\n",
    "for r in np.linspace(1, 3, 5):\n",
    "    plt.plot(steps, [x for x in logistic_generator(0.3, r, num_steps)], label=\"r = %.2f\"%r, c=plt.cm.viridis(int(r*250/3)))\n",
    "\n",
    "plt.legend(frameon=True)\n",
    "plt.xlim(steps[0], steps[-1])\n",
    "plt.ylabel(\"Population ratio\")\n",
    "plt.xlabel(\"Generation\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29b3de81-ca65-483c-9198-d94c0b1b2fb6",
   "metadata": {},
   "source": [
    "We start seeing something \"weird\". For r<=1 the population dies off. For larger values of r it stabilize to a single >0 value. However, for some value 2.5 < r < 3.0 the sistem oscillates between two equilibrium states.\n",
    "We want to look at this more in detail. Since a single plot would become very busy very fast, let's define a function that quickly create a single plot with all the required bells and whistles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0623ce2e-7e14-4566-affd-1d71b6fe911f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_iterations(xs, ys, r):\n",
    "    plt.plot(xs, ys, label=\"r = %.2f\"%r)\n",
    "\n",
    "    plt.legend(frameon=True)\n",
    "    plt.xlim(steps[0], steps[-1])\n",
    "    plt.ylabel(\"Population ratio\")\n",
    "    plt.xlabel(\"Generation\")\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "de9398fc-9283-42c6-a014-8064af5365d6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_steps = 100\n",
    "r = 3.1\n",
    "\n",
    "steps = np.linspace(1, num_steps, num_steps)\n",
    "generations = [x for x in logistic_generator(0.3, r, num_steps)]\n",
    "\n",
    "plot_iterations(steps, generations, r)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06e55a73-db61-4d5e-b2a2-d55e6d645693",
   "metadata": {},
   "source": [
    "Indeed an even smarter thing to do is to create a function that both evolves the system and creates the plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "106d7723-5a7f-44b6-a1a2-1addeab4e7e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_and_plot_iterations(num_steps, r):\n",
    "    steps = np.linspace(1, num_steps, num_steps)\n",
    "    generations = [x for x in logistic_generator(0.3, r, num_steps)]\n",
    "    plot_iterations(steps, generations, r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "a5999ea9-67c4-400f-9207-e5d3daa01b54",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "calculate_and_plot_iterations(num_steps=100, r=3)\n",
    "calculate_and_plot_iterations(num_steps=100, r=3.5)\n",
    "calculate_and_plot_iterations(num_steps=100, r=3.7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a5b3a0e-fed8-4831-880c-44556b194834",
   "metadata": {},
   "source": [
    "(100 iterations are not quite enough for the system to stabilize, this can be fixed looking at more iterations, you can adjust things yourself)\n",
    "For even higher values or r the system cicles among a few different values over 2, 4, ... generations.\n",
    "What we want to do now is to disregard the part during which the system is relaxing to the \"equilibrium cycle\", and plot the collection of points in the cycle as a function of r. We can create a different generator that allow you to evolve the sistem for a certain number of generations, and then only gather the data about the last few ones."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "f6c29b1c-b1eb-49e5-a2cf-fc15c83b302d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def equilibrium_points_generator(r, total_iterations, num_returned_points):\n",
    "    xn = 0.3\n",
    "    \n",
    "    for i in range(total_iterations - num_returned_points):\n",
    "        xn_p_1 = logistic(xn, r)\n",
    "        xn = xn_p_1\n",
    "        \n",
    "    for i in range(max(0, total_iterations - num_returned_points), total_iterations): # max to avoid edge cases in which total_iterations < num_returned_points\n",
    "        xn_p_1 = logistic(xn, r)\n",
    "        yield xn_p_1\n",
    "        xn = xn_p_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "2da3bf57-832b-4e78-8b2d-a7e4f69d2463",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.5833043449979505, 0.5833449266507098, 0.5833286956838107]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[x for x in equilibrium_points_generator(2.4, 11, 3)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cc4e0a1-2849-4ed3-a8cb-3797648d4aa5",
   "metadata": {},
   "source": [
    "Plot bifurcation diagram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "df008bf3-79ef-4053-865a-ae7646aee60c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rmin = 0.\n",
    "rmax = 4.\n",
    "\n",
    "rs = np.linspace(rmin, rmax, 5000)\n",
    "\n",
    "ys =[x for x in equilibrium_points_generator(rs, 1000, 10)]\n",
    "\n",
    "for y in ys:\n",
    "    plt.plot(rs, y, c=\"k\", lw=0, marker=\".\", markersize=.1)\n",
    "\n",
    "plt.xlim(rmin, rmax)\n",
    "plt.xlabel(\"$r$\")\n",
    "plt.ylabel(\"Stable points\")\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42408bc5-97b2-4f58-8339-8574e0c67d86",
   "metadata": {},
   "source": [
    "# Mandelbrot set"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3dc20891-f573-483f-aeeb-408aedbb85e4",
   "metadata": {},
   "source": [
    "The Mandelbrot set is the set of points c in the complex plane for which the function defined below does not diverge to infinity when iterated infinite times.\n",
    "We want to review 2d plots showing the set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "5c2b4c0b-1766-43dc-b522-77c823051288",
   "metadata": {},
   "outputs": [],
   "source": [
    "def z_n(n, c):\n",
    "    if(n == 0):\n",
    "        return 0\n",
    "    else:\n",
    "        z_n_m1 = z_n(n-1, c)\n",
    "        return z_n_m1**2 + c "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "5a4c056c-eddb-47e8-8c8a-17dda84d8e22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "z_n(10, -1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c55286c7-35bc-472b-a501-a69979f91db7",
   "metadata": {},
   "source": [
    "Of course we cannot iterate \"infinite times\" on a computer, so we will just iterate the function some (big) number of times. In practice we do not even need to iterate that many time to get a good approximation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "69484a65-3286-44c7-a9c6-82d721e4dfa5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3791862310265926082868235028027893277370233152247388584761734150717768254410341175325352026"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "z_n(10, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8889a8c4-b132-4eaf-8a02-9f182aebeee9",
   "metadata": {},
   "source": [
    "We create a 2D mesh with the real and imaginary components of c to create the plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "4bb56ddb-84f0-4168-9d18-206f4657a998",
   "metadata": {},
   "outputs": [],
   "source": [
    "xs = np.linspace(-2.25, .75, 1000)\n",
    "ys = np.linspace(-1.5, 1.5, 1000)\n",
    "\n",
    "xs, ys = np.meshgrid(xs, ys)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "c48ff3a6-714f-4e5c-a070-896ba7cd35a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.pcolormesh(xs, ys, abs(z_n(10, xs + 1j*ys))<2) # 2 is arbitrarily select as the discriminant between points that converge and that diverge.\n",
    "                                                   # you can check what happens iterating a different amout of times and modifying the threshold\n",
    "\n",
    "plt.xlabel(\"$Re$\")\n",
    "plt.ylabel(\"$Im$\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d46ae9e-59fe-436f-95c9-b66f10a04cf7",
   "metadata": {},
   "source": [
    "# Julia set"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67822bfe-751d-427f-9e55-5caa23f4ea6a",
   "metadata": {},
   "source": [
    "We will now review multi-panel plots showing the Julia set. It is closely related to the Mandelbrot set but in this case c is a parameter (which we will vary) and the points in the set are the z0 in the complex plane for which the equation below does not diverge to infinity when iterated infinite times."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "8522d989-9067-48c3-8345-28a761d1ba09",
   "metadata": {},
   "outputs": [],
   "source": [
    "def z_n(n, z0, c=.5):\n",
    "    if(n == 0):\n",
    "        return z0\n",
    "    else:\n",
    "        z_n_m1 = z_n(n-1, z0, c)\n",
    "        return z_n_m1**2 + c "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "fe0da4fc-0f04-4feb-b2ec-5839d26759f4",
   "metadata": {},
   "outputs": [],
   "source": [
    "xs = np.linspace(-1.5, 1.5, 1000)\n",
    "ys = np.linspace(-1.5, 1.5, 1000)\n",
    "\n",
    "xs, ys = np.meshgrid(xs, ys)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "99d562ce-61b2-4d37-b935-05dc3864266d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_516/2401002191.py:6: RuntimeWarning: overflow encountered in square\n",
      "  return z_n_m1**2 + c\n",
      "/tmp/ipykernel_516/2401002191.py:6: RuntimeWarning: invalid value encountered in square\n",
      "  return z_n_m1**2 + c\n",
      "/tmp/ipykernel_516/3524768012.py:3: RuntimeWarning: overflow encountered in absolute\n",
      "  plt.pcolormesh(xs, ys, abs(z_n(10, xs + 1j*ys, cherry_picked_c))<2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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cEEsEJyC2CE1AnPGbc4glghMQO4QmAHAZghMQG4QmAHAhghNgPUITALgUwQmwFqEJSJC+uU3Mb0IsEZwA6xCaABsgOCGWCE6ANfjBXsAm+gcnDnIAYD+EJsCGzPQ8EawQif2nm+jRBEaI4TnAoTgAAkB8EZoAAABMIDQBAACYQGgCHIo5TQAQX4QmwIEITAAQf4QmAEgShG1gZAhNAJBECE5A9AhNgANxugGMBMEJiA6hCQAAwARCE+BQ9DYBQHwRmgAHIzgBQPxE/NtznZ2d2r59uzo6OpSXl6c77rhD+fn5uvbaa2NRH4BhLMzOZ44KAMRBxKHpvvvu0/Hjx/XVr35V//Vf/6UPP/xQX3zxhW666Sbdcccd+o//+I9Y1AkAAJBQEYemt99+WwcPHlRRUZEkqaenR++9956amprU1MSnXSAR6G1CJBjWBaITcWiaMWOGrrnmr1OhvF6vZs6cqZkzZ1paGIDI9B0ICU8AEBsRTwTfvHmznnzySX3++eexqGdYL7zwgvLy8jRmzBgVFhbqrbfeGnL9gwcPqrCwUGPGjNFNN92krVu3xqlSIDHoRQCA2Ig4NOXl5am7u1vTp0/Xhg0b9Prrr6u1tTUWtQ2wa9curVmzRhs3blRDQ4PmzJmjsrKyQe+/paVFixcv1pw5c9TQ0KANGzZo9erVqq6ujku9QKIszM4PXoD+2CeA6HkMwzAi2aCoqEjnzp3TggUL1NraqsbGRp0/f14TJkxQfn6+fvOb38SqVs2aNUszZ87Uiy++GFw2ffp0ffOb31RVVdWA9f/pn/5Jb7zxht5///3gslWrVqmpqUl1dXWm7rOrq0s+n0/ztVQpntSRPwjAhhjSSy4EJySDS8ZF1ep1BQIBpaWlWXKbEc9pOnHihI4cOaLbb789uKy1tVUNDQ1qbGy0pKhwent7VV9fr3Xr1oUsLy0t1eHDh8NuU1dXp9LS0pBlCxcu1Pbt23Xx4kWlpg4MQT09Perp6Qle7+rqsqB6wN6YDwUAw4t4eO6rX/2qLly4ELJs0qRJWrp0qZ5++mnLCrva2bNndfnyZWVmZoYsz8zMVEdHR9htOjo6wq5/6dIlnT17Nuw2VVVV8vl8wcvEiROteQCAA9ADkRwIx0B0Ig5Na9as0aZNm3T+/PlY1DMsj8cTct0wjAHLhls/3PI+69evVyAQCF7a2tpGWDEA2M/+003BCwBzIh6eu//++yVJkydP1je+8Q0VFxeroKBAt99+u7xer+UF9klPT9eoUaMG9CqdOXNmQG9Sn6ysrLDrp6Sk6IYbbgi7jdfrjenjAAC7GSo40fsI/FXEPU0tLS3avXu3Vq9erc7OTm3evFnFxcUaP358yDwnq40ePVqFhYWqqakJWV5TU6PZs2eH3aakpGTA+m+++aaKiorCzmcCAISiRwr4q4h7mnJycpSTk6OlS5cGl3V3d6uxsVHvvvuupcVdraKiQuXl5SoqKlJJSYm2bdum1tZWrVq1StKVobVTp05px44dkq58U27Lli2qqKjQypUrVVdXp+3bt+tXv/pVTOsEADfqC070PiFZmQ5N3/3ud1VYWKiZM2cqPz9fY8aMCf5t/PjxmjNnjubMmROTIvs88MADOnfunH7wgx+ovb1dM2bM0N69e5WTkyNJam9vDzlnU15envbu3avHH39cP/vZz5Sdna2f/vSnwSFGAKHoTYAZ+083EZyQlEyfp2nu3LlqampSd3e3UlJSNG3atODPpxQWFuqOO+7QtddeG+t6447zNCGZEJoQCYIT7Cyh52k6dOiQJOnkyZOqr6/XO++8o/r6er3xxhvq7OzUNddcoylTpujEiROWFAYgvghMADC0iOc0TZ48WZMnT9by5cuDy1paWnTs2DE1NDRYWhyA+FmYnU9wQkQYpkOyiTg0hZOXl6e8vDwtW7bMipsDADgEwQnJJOJTDgAA0B89lEgWhCYAwIgRnJAMCE0AghhmAYDBEZoAAABMIDQBCEFvEwCER2gCAIwYYRvJgNAEABgRAhOSBaEJAADABEITAACACYQmAMCIcI4mJAtLfkYFgLvwO3SIlJn9hblPcDpCE4CwCE6w2tX7EyEKTsPwHAAgIfafbiKYw1EITQAGRU8A4oHgBKcgNAEYEsEJAK4gNAEYFsEJAAhNAEwiOAFIdoQmAKYRnBArTAqHExCaAESE4IRYIjjBzghNACJGcAKQjAhNAAAAJhCaAESF3iYAyYbQBAAAYAKhCQBgG/Rgws74wV4AUeFbTrACIQlOQk8TgIgRmGAFAhOchtAEAABgAsNzAEyjhwlAMqOnCYApBCZYjZ9OgdPQ0wRgSBzUEGt9+xhznGB3hCYAgyIwIZ7C7W8EKdgJoQlAWAQm2EH//ZAAhUQjNAEYgMAEOyJAIdGYCA4AAGACoQkYBt/wAeyH1yQSgeE5oJ+h3oiv/ptbhwc4GMEp+NYd4o2eJkDR9Sa5MVy48TEBgFUITQAkEZgAYDgMzyHpERZoAzgTw3KIN0ITko5VAcEtb9gEJgAwh+E5JBUCUygCE5yM/RfxRmgCADgWpwRBPBGakDToZQrFgQYAIkNoQlIgIAAARorQBABwNLf0/sL+CE1ICla+qbqh18oNjwEA4o3QBETByaHDybUDQCI5JjSdP39e5eXl8vl88vl8Ki8vV2dn55DbPPzww/J4PCGX4uLi+BQMAIjawuz8AZfB1gPixTEnt3zwwQf16aefat++fZKkRx55ROXl5fr1r3895HaLFi3SSy+9FLw+evTomNaJ5OG0HwulhwlOMNTraWF2vuNed3AXR4Sm999/X/v27dORI0c0a9YsSdK//uu/qqSkRM3NzZo6deqg23q9XmVlZcWrVNjE1W+ssQwM+0832foNnLAEN7Hzaw3u54jQVFdXJ5/PFwxMklRcXCyfz6fDhw8PGZpqa2uVkZGhCRMmaN68eXrmmWeUkZEx6Po9PT3q6ekJXu/q6rLmQSBu+oeEeAUGO376JSwBgLUcEZo6OjrCBp2MjAx1dHQMul1ZWZmWLVumnJwctbS06Mknn9Rdd92l+vp6eb3esNtUVVWpsrLSstqRXOIdnghGcBM7fegAwkloaNq0adOwAeXo0aOSJI/HM+BvhmGEXd7ngQceCP5/xowZKioqUk5Ojvbs2aP77rsv7Dbr169XRUVF8HpXV5cmTpw4ZI2wD7uEiP51WHEgsMvjAmLJ7kPdQEJD02OPPably5cPuU5ubq7effdd/eEPfxjwtz/+8Y/KzMw0fX9+v185OTk6efLkoOt4vd5Be6GAaFwdeIY7KBCQAMCeEhqa0tPTlZ6ePux6JSUlCgQC+u1vf6s777xTkvT2228rEAho9uzZpu/v3Llzamtrk9/vj7pm2Fv/b9fYld3rAwCE54jzNE2fPl2LFi3SypUrdeTIER05ckQrV67U17/+9ZBJ4NOmTdPu3bslSRcuXNDatWtVV1enjz/+WLW1tVqyZInS09N17733JuqhIA7o3geciw8VsDNHTASXpF/84hdavXq1SktLJUnf+MY3tGXLlpB1mpubFQgEJEmjRo3S8ePHtWPHDnV2dsrv92vBggXatWuXxo8fH/f6ER+84QLOZ/WcQMAqHsMwjEQXYWddXV3y+Xyar6VK8aQmuhyYQHAC3IXghGhcMi6qVq8rEAgoLS3Nktt0xPAcACB57T/dxIch2AKhCa7Dp1LAnQhPSDRCEwAAgAmOmQgORCIevzkHIDGYKI5EoacJrsYbKgDAKoQmuN7C7HzCE+BS9CYjnghNSBoEJ8CdCE6IF0ITkgrBCXAnghPigdCEpENwAtyH1zXigdAEAHA0AhPihdAEAHA0huYQL4QmAIDjEZwQD4QmuNJQP7fAmysAIBqcERyu0z8U9f1/YXY+YQlwMeY1IR7oaUJSIDABAEaKnia4CuEIcD96lZAo9DTBVXgzBQDECqEJrkNwAgDEAqEJAADABEITXId5TYC78RpHojARHK7D6QWAxDAzNM5rE05GaIIrEZyA+Ih0DmHf+rw+4USEJrjWYG/mvFkD1hjJly5G8sGGL3sgUZjThKTDGy4wcla8jngtwmnoaQIARCTeYYdwBbugpwlJh+E5wB54LcJpCE1IKrxJA85CLxPshNCEpMIbMDAy8XgN9d0Hr1fYDXOakHQ4HQFgD0OFIgIT7IjQhKQ01BsygQoIjyCDZMfwHAAAgAmEJgAAABMYngOuwpnEgfD2n25iiA5JjdAEmNT/YNEXoMItA9yM4IRkRmgCohDuoMEvvAOAuxGagDjidAfOQAAGEA4TwYE4Y2jDvhZm55t+fiJZF4A70NMEJEDfwZbeisSxKvDQewgkD0ITkEAccOMj1j1CyRaCmQyOZEVoAhKM4GSdRB/Ikyk8EZyQjJjTBNgAB5+Rs1Mb2qkWANYhNAFwPDuGlGSYKJ4MPWpAf4QmAIghN4cntz4uYDCEJgCIA7cFDLc9HsAMQhNgAwxzRM9JB28n1Tqc/aeb2G+RdAhNQIJx4Imem0KIU7H/IpkQmgA4jpPnCTm17sG47fEAQyE0ATFiZviCT+mR4yANIFE4uSUQA/3DEMEoOoQj++M5QrKhpwmA7bj9YOyGx+eGxwBEitAEAABggmNC0zPPPKPZs2dr3LhxmjBhgqltDMPQpk2blJ2drbFjx2r+/Pl67733Ylsokh7DcRiOG/YRNzwGIFKOCU29vb1atmyZHn30UdPb/PjHP9Zzzz2nLVu26OjRo8rKytI999yj7u7uGFaKZMewBQC4k2NCU2VlpR5//HHddtttptY3DEPPP/+8Nm7cqPvuu08zZszQK6+8oj//+c/65S9/GeNqkewITgDgPo4JTZFqaWlRR0eHSktLg8u8Xq/mzZunw4cPD7pdT0+Purq6Qi5ANAhO0aHdnIHnCcnItaGpo6NDkpSZmRmyPDMzM/i3cKqqquTz+YKXiRMnxrROIJkMdaB18gkrI+G0uUB9z0v/5yYZnicgnISep2nTpk2qrKwccp2jR4+qqKgo6vvweDwh1w3DGLCsv/Xr16uioiJ4vauri+CEqPUdXJx2oIyFvrbggOtcPHdIdgkNTY899piWL18+5Dq5ublR3XZWVpakKz1Ofr8/uPzMmTMDep/683q98nq9Ud0nAAyF8Aw4W0JDU3p6utLT02Ny23l5ecrKylJNTY0KCgokXfkG3sGDB7V58+aY3CcwmKE+oVt1II3HfSA6tD/gDo75GZXW1lb96U9/Umtrqy5fvqzGxkZJ0s0336wvfelLkqRp06apqqpK9957rzwej9asWaMf/vCHmjx5siZPnqwf/vCHGjdunB588MEEPhLAWmaGTBI9TOj2YR1CEZAcHBOannrqKb3yyivB6329RwcOHND8+fMlSc3NzQoEAsF1nnjiCf3lL3/R9773PZ0/f16zZs3Sm2++qfHjx8e1dmAwIz3YxjuM9L8/goL9DbZ/8NwB0fEYhmEkugg76+rqks/n03wtVYonNdHlwIWiOYBFG5ZGcrAMd59mbs/tvUySPUPIcO3Ocwe3u2RcVK1eVyAQUFpamiW36ZieJsCtzPQGjPTgFc8eLQ60iWdFYAIwEKEJsCmrwkcsAxMByX5G8pzwfAJDc+3JLQFcwYEw9px2Ys5wtTqpfiBR6GkCksDC7Py4zp1CYjCMCsQWoQlIEmbnuXAwjV604RSAMxCaAEgiLFkl2m8ZxuJ+AViL0AQAMRTNV/sjCVmEJSB+CE0AEEOD9TxFE3YISEBi8e05AIgzwg/gTPQ0AYDNEKoAe6KnCQAAwARCEwAAgAmEJgAAABMITQAAACYQmgAAAEwgNAEAAJhAaAIAADCB0AQAAGACoQkAAMAEQhMAAIAJhCYAAAATCE0AAAAmEJoAAABMIDQBAACYQGgCAAAwgdAEAABgAqEJAADABEITAACACYQmAAAAEwhNAAAAJhCaAAAATCA0AQAAmEBoAgAAMIHQBAAAYAKhCQAAwARCEwAAgAmEJgAAABMITQAAACYQmgAAAEwgNAEAAJhAaAIAADCB0AQAAGACoQkAAMAEQhMAAIAJhCYAAAATCE0AAAAmEJoAAABMIDQBAACYQGgCAAAwgdAEAABggmNC0zPPPKPZs2dr3LhxmjBhgqltHn74YXk8npBLcXFxbAsFAACu5JjQ1Nvbq2XLlunRRx+NaLtFixapvb09eNm7d2+MKgQAAG6WkugCzKqsrJQkvfzyyxFt5/V6lZWVFYOKAABAMnFMT1O0amtrlZGRoSlTpmjlypU6c+ZMoksCAAAO5JiepmiUlZVp2bJlysnJUUtLi5588kndddddqq+vl9frDbtNT0+Penp6gtcDgYAk6ZIuSkZcygYAACN0SRclSYZh4cHbSKCnn37a0JUoMujl6NGjIdu89NJLhs/ni+r+Tp8+baSmphrV1dUjqokLFy5cuHDh4ozL7373u6gyQzgJ7Wl67LHHtHz58iHXyc3Ntez+/H6/cnJydPLkyUHXWb9+vSoqKoLXOzs7lZOTo9bWVvl8PstqSUZdXV2aOHGi2tralJaWluhyHIt2tA5taR3a0hq0o3UCgYAmTZqk66+/3rLbTGhoSk9PV3p6etzu79y5c2pra5Pf7x90Ha/XG3bozufzsQNbJC0tjba0AO1oHdrSOrSlNWhH61xzjXXTtx0zEby1tVWNjY1qbW3V5cuX1djYqMbGRl24cCG4zrRp07R7925J0oULF7R27VrV1dXp448/Vm1trZYsWaL09HTde++9iXoYAADAoRwzEfypp57SK6+8ErxeUFAgSTpw4IDmz58vSWpubg5O3B41apSOHz+uHTt2qLOzU36/XwsWLNCuXbs0fvz4uNcPAACczTGh6eWXXx72HE1GvxnyY8eO1f79+0d8v16vV08//fSg37aDebSlNWhH69CW1qEtrUE7WicWbekxDCu/iwcAAOBOjpnTBAAAkEiEJgAAABMITQAAACYQmgAAAEwgNIXxzDPPaPbs2Ro3bpwmTJhgapuHH35YHo8n5FJcXBzbQm0umnY0DEObNm1Sdna2xo4dq/nz5+u9996LbaEOcP78eZWXl8vn88nn86m8vFydnZ1DbsM+ecULL7ygvLw8jRkzRoWFhXrrrbeGXP/gwYMqLCzUmDFjdNNNN2nr1q1xqtTeImnH2traAfuex+PRBx98EMeK7enQoUNasmSJsrOz5fF49Nprrw27DfvkQJG2o1X7JKEpjN7eXi1btkyPPvpoRNstWrRI7e3twcvevXtjVKEzRNOOP/7xj/Xcc89py5YtOnr0qLKysnTPPfeou7s7hpXa34MPPqjGxkbt27dP+/btU2Njo8rLy4fdLtn3yV27dmnNmjXauHGjGhoaNGfOHJWVlam1tTXs+i0tLVq8eLHmzJmjhoYGbdiwQatXr1Z1dXWcK7eXSNuxT3Nzc8j+N3ny5DhVbF+fffaZ8vPztWXLFlPrs0+GF2k79hnxPmnZr9i5UCQ/DrxixQpj6dKlMa3Hqcy24xdffGFkZWUZP/rRj4LLPv/8c8Pn8xlbt26NYYX2duLECUOSceTIkeCyuro6Q5LxwQcfDLod+6Rh3HnnncaqVatClk2bNs1Yt25d2PWfeOIJY9q0aSHL/u7v/s4oLi6OWY1OEGk7HjhwwJBknD9/Pg7VOZckY/fu3UOuwz45PDPtaNU+SU+ThWpra5WRkaEpU6Zo5cqVOnPmTKJLcpSWlhZ1dHSotLQ0uMzr9WrevHk6fPhwAitLrLq6Ovl8Ps2aNSu4rLi4WD6fb9h2SeZ9sre3V/X19SH7kySVlpYO2m51dXUD1l+4cKGOHTumixcvxqxWO4umHfsUFBTI7/fr7rvv1oEDB2JZpmuxT1prpPskockiZWVl+sUvfqHf/OY3+slPfqKjR4/qrrvuUk9PT6JLc4yOjg5JUmZmZsjyzMzM4N+SUUdHhzIyMgYsz8jIGLJdkn2fPHv2rC5fvhzR/tTR0RF2/UuXLuns2bMxq9XOomlHv9+vbdu2qbq6Wq+++qqmTp2qu+++W4cOHYpHya7CPmkNq/ZJx/yMykht2rRJlZWVQ65z9OhRFRUVRXX7DzzwQPD/M2bMUFFRkXJycrRnzx7dd999Ud2mHcW6HSXJ4/GEXDcMY8AyNzDbltLANpGGb5dk2SeHE+n+FG79cMuTTSTtOHXqVE2dOjV4vaSkRG1tbXr22Wc1d+7cmNbpRuyTI2fVPpk0oemxxx7T8uXLh1wnNzfXsvvz+/3KycnRyZMnLbtNO4hlO2ZlZUm68snK7/cHl585c2bAJy03MNuW7777rv7whz8M+Nsf//jHiNrFrfvkYNLT0zVq1KgBvSFD7U9ZWVlh109JSdENN9wQs1rtLJp2DKe4uFg7d+60ujzXY5+MnWj2yaQJTenp6UpPT4/b/Z07d05tbW0hB383iGU75uXlKSsrSzU1NSooKJB0ZT7FwYMHtXnz5pjcZyKZbcuSkhIFAgH99re/1Z133ilJevvttxUIBDR79mzT9+fWfXIwo0ePVmFhoWpqanTvvfcGl9fU1Gjp0qVhtykpKdGvf/3rkGVvvvmmioqKlJqaGtN67SqadgynoaEhafY9K7FPxk5U++SIppG71CeffGI0NDQYlZWVxpe+9CWjoaHBaGhoMLq7u4PrTJ061Xj11VcNwzCM7u5u4x/+4R+Mw4cPGy0tLcaBAweMkpIS48tf/rLR1dWVqIeRcJG2o2EYxo9+9CPD5/MZr776qnH8+HHjb//2bw2/35/U7WgYhrFo0SLj9ttvN+rq6oy6ujrjtttuM77+9a+HrMM+OdC///u/G6mpqcb27duNEydOGGvWrDGuvfZa4+OPPzYMwzDWrVtnlJeXB9f//e9/b4wbN854/PHHjRMnThjbt283UlNTjf/8z/9M1EOwhUjb8V/+5V+M3bt3Gx9++KHxv//7v8a6desMSUZ1dXWiHoJtdHd3B98LJRnPPfec0dDQYHzyySeGYbBPmhVpO1q1TxKawlixYoUhacDlwIEDwXUkGS+99JJhGIbx5z//2SgtLTVuvPFGIzU11Zg0aZKxYsUKo7W1NTEPwCYibUfDuHLagaefftrIysoyvF6vMXfuXOP48ePxL95mzp07Zzz00EPG+PHjjfHjxxsPPfTQgK/Osk+G97Of/czIyckxRo8ebcycOdM4ePBg8G8rVqww5s2bF7J+bW2tUVBQYIwePdrIzc01XnzxxThXbE+RtOPmzZuNr3zlK8aYMWOM6667zvja175m7NmzJwFV20/fV9+vvqxYscIwDPZJsyJtR6v2SY9h/N+MMgAAAAyKUw4AAACYQGgCAAAwgdAEAABgAqEJAADABEITAACACYQmAAAAEwhNAAAAJhCaAAAATCA0AXC9uXPnyuPxyOPxaPTo0Zo+fbp++ctfJrosAA5DaALgaoZhqLGxUc8++6za29vV3NysRYsW6Vvf+pZaWloSXR4AByE0AXC1kydPqru7W4sWLVJWVpby8vL0ne98R5cvX1Zzc3Nwvba2Nj300EO67rrrdN111+nBBx/U+fPnE1g5ALshNAFwtfr6el133XW65ZZbJEmffvqpNm7cKK/Xq9tuu02S9NFHH6mwsFBf+cpXVFdXp//+7//W7373O/3jP/5jIksHYDMpiS4AAGLpnXfeUSAQ0Pjx4/XFF1/oL3/5i8aOHautW7fqy1/+siRp1apVevTRR1VZWRnc7oknniA0AQjhMQzDSHQRABArd911l2bMmKHVq1ers7NTa9euVUlJiaqqqiRJn3zyiXJzczV27Fhdc81fO98vX76siRMn6sMPP0xU6QBshp4mAK7W0NCgRx55RDfffLMk6YUXXtBtt92mRx55RHl5eWpqatL111+vt99+e8C2Y8eOjXe5AGyM0ATAtX7/+9+rs7NTM2bMCC675ZZbdPPNN+tXv/qVNmzYoNTUVHV3d8vv9+vaa69NYLUA7I6J4ABcq76+XikpKZoyZUrI8nvuuUe7d++WJM2aNUtpaWkqLy9XY2OjPvroI+3bt09///d/n4iSAdgYoQmAa73zzjuaMmWKRo8eHbL8nnvuUX19vT799FNdf/312rt3r86fP6958+Zp5syZ2rBhg3JzcxNTNADbYiI4AACACfQ0AQAAmEBoAgAAMIHQBAAAYAKhCQAAwARCEwAAgAmEJgAAABMITQAAACYQmgAAAEwgNAEAAJhAaAIAADCB0AQAAGACoQkAAMCE/w9TcX1R3IALzwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cherry_picked_c = .37-.15*1j\n",
    "\n",
    "plt.pcolormesh(xs, ys, abs(z_n(10, xs + 1j*ys, cherry_picked_c))<2)\n",
    "\n",
    "plt.xlabel(\"$Re$\")\n",
    "plt.ylabel(\"$Im$\")\n",
    "\n",
    "plt.show() # The function will incounter some errors due to the very big (and small) numbers involved.\n",
    "           # This is an example of the numerical stability issues that were covered during the lecture.\n",
    "           # In principle, one could/should check for extreme values and cut the evaluation short."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "7ddfb92f-723a-46df-acc0-0967e5c22a44",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_516/2401002191.py:6: RuntimeWarning: overflow encountered in square\n",
      "  return z_n_m1**2 + c\n",
      "/tmp/ipykernel_516/2401002191.py:6: RuntimeWarning: invalid value encountered in square\n",
      "  return z_n_m1**2 + c\n",
      "/tmp/ipykernel_516/3793522824.py:5: RuntimeWarning: overflow encountered in absolute\n",
      "  axs[i,j].pcolormesh(xs, ys, abs(z_n(10, xs + 1j*ys, (i-1)*0.5 -(j-1)*0.5*1j))<2)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(3,3)\n",
    "\n",
    "for i in range(3):\n",
    "    for j in range(3):\n",
    "        axs[i,j].pcolormesh(xs, ys, abs(z_n(10, xs + 1j*ys, (i-1)*0.5 -(j-1)*0.5*1j))<2)\n",
    "\n",
    "axs[2,1].set_xlabel(\"$Re$\")\n",
    "axs[1,0].set_ylabel(\"$Im$\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "38b18e4b-b9f8-4b48-9f27-00c203cf4571",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
