LESSON 3 -- 03/10/2022
Résumé de section
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Double Pendulum - "Home Experiment":
Double Pendulum - "Computer Simulation":
Magnetic Pendulum - "Home Experiment":
3 Magnets Pendulum - "Basin of Attraction":
Weather and Chaos: The Work of Edward N. Lorenz:
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The Allee affect, also with a "constant hunting" parameter. Dependence on initial data. General theorem about the exponential convergence-divergence of trajectories. Dependence on initial data in the previous examples: Malthusian model, x’ = 1, the harmonic oscillator, the harmonic repeller. General observations about sensitivity to initial conditions: the magnetic pendulum, the double pendulum. From determinism to chaos... Vector fields depending on parameters. Bifurcations and bifurcation diagrams. First exercises of vector fields depending on a real parameter. Video of Lecture 3:
https://unipd.zoom.us/rec/share/7j3EUG4vVm0E5k4X_ntN1q1xbXWc_ypnlInZ-uT4TqYSxx0ssxQUdLzgt_lTf-nD.DVmQ8Y4WBNzb-3Yq
Access key: gWi#2fr$
(or see Media Gallery)
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