Phase Plan and 1st Harmonic Method

In course

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Description

This lecture covers the definition of state and phase variables, phase plan representation techniques, digital solutions for various initial conditions, analytical mechanics of Lagrange, isocline method, limit cycles, classification of limit cycles, topological index, Bendixson's theorem, impossibility of planar chaos, and the first harmonic method for nonlinear systems.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_zf4sg99e

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Ontological neighbourhood

Physics

Mechanics: Classical mechanics

Systems science and engineering

Systems theory: Chaos theory

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