Nonlinear Dynamical Systems Video Lectures

Nonlinear Dynamical Systems
'Nonlinear Dynamical Systems' Video Lectures by Prof. Harish K. Pillai, Prof. Madhu N.Belur from IIT Bombay
"Nonlinear Dynamical Systems" - Video Lectures
L1-Introduction
L2-First Order systems
L3-Classification of Equilibrium points
L4-Lipschitz Functions
L5-Existence/uniqueness theorems
L6-Existence/uniqueness of solutions to differential equations
L7-Lyapunov theorem on stability
L8-Extension of Lyapunov's Theorem in different contexts
L9-LaSalle's Invariance principle, Barbashin and Krasovski theorems, periodic orbits
L10-Bendixson criterion and Poincare-Bendixson criterion. Example: Lotka Volterra predator prey model
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