LESSON 2 -- 29/09/2022
Résumé de section
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Fundamental definitions for vector fields: flow, orbit, phase-space, phase-portrait, equilibrium. Properties of flows and orbits. Example of 2-dim vector fields and related phase portraits. Phase portraits (by using explicit solutions) of the harmonic oscillator, the gravitational vector field, the free particle, the harmonic repeller. Qualitative discussion of "stability", "instability", "asymptotic stability”. Some exercises on 1-dim and 2-dim vector fields. Video of Lecture 2:
https://unipd.zoom.us/rec/share/JtfQ54Nlzc3MKl0Z7w7iqZph3TWnor8UN88AVF8tMOkqOcGMYmYxPgF6vvbWZvb0.ABQlEGbs8guspwmq
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(or see Media Gallery)
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