Back To The Course Mod-01 Lec-01 Introduction Free Video Tutorials and Notes Lectures Mod-01 Lec-02 First Order systems Free Video Tutorials and Notes Lectures Mod-01 Lec-03 Classification of Equilibrium points Free Video Tutorials and Notes Lectures Mod-01 Lec-04 Lipschitz Functions Free Video Tutorials and Notes Lectures Mod-01 Lec-05 Existence uniqueness theorems Free Video Tutorials and Notes Lectures Mod-01 Lec-06 Existence uniqueness of solutions to differential equations Free Video Tutorials and Notes Lectures Mod-01 Lec-07 Lyapunov theorem on stability Free Video Tutorials and Notes Lectures Mod-01 Lec-13 Signals, operators Free Video Tutorials and Notes Lectures Mod-01 Lec-18 Positive real lemma proof Free Video Tutorials and Notes Lectures Mod-01 Lec-23 Limit cycles Free Video Tutorials and Notes Lectures Mod-01 Lec-10 Bendixson criterion and Poincare-Bendixson criterion.Ex:Lotka Volterra predator prey Free Video Tutorials and Notes Lectures Mod-01 Lec-11 Bendixson and Poincare-Bendixson criteria van-der-Pol Oscillator Free Video Tutorials and Notes Lectures Mod-01 Lec-12 Scilab simulation of Lotka Volterra predator prey model, van-der-Pol Oscillator Free Video Tutorials and Notes Lectures Mod-01 Lec-14 Norms of signals, systems (operators), Finite gain L2 stable Free Video Tutorials and Notes Lectures Mod-01 Lec-15 Nyquist plots and Nyquist criterion for stability Free Video Tutorials and Notes Lectures Mod-01 Lec-16 Interconnection between linear system & non-linearity, passive filters Free Video Tutorials and Notes Lectures Mod-01 Lec-17 Passive filters, Dissipation equality, positive real lemma Free Video Tutorials and Notes Lectures Mod-01 Lec-19 Definition for positive realness and Kalman Yakubovich-Popov Theorem Free Video Tutorials and Notes Lectures Mod-01 Lec-20 Kalman-Yakubovich-Popov Lemma/theorem and memoryless nonlinearities Free Video Tutorials and Notes Lectures Mod-01 Lec-21 Loop tranformations and circle criterion Free Video Tutorials and Notes Lectures Mod-01 Lec-22 Nonlinearities based on circle criterion Free Video Tutorials and Notes Lectures Mod-01 Lec-24 Popov criterion continuous, frequency-domain theorem Free Video Tutorials and Notes Lectures Mod-01 Lec-25 Popov criterion continuous, frequency-domain theorem Free Video Tutorials and Notes Lectures Electrical - Nonlinear Dynamical Systems Free Video Tutorials and Notes LecturesMod-01 Lec-23 Limit cycles Free Video Tutorials and Notes LecturesNonlinear Dynamical Systems by Prof. Harish K. Pillai and Prof. Madhu N.Belur,Department of Electrical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in