NOC:Introductory Non-Linear Dynamics


Lecture 1 - Introduction, Stability, Phase Space and Invariant Sets - 1


Lecture 2 - Introduction, Stability, Phase Space and Invariant Sets - 2


Lecture 3 - Introduction, Stability, Phase Space and Invariant Sets - 3


Lecture 4 - Maps and Flows. Simple Examples of Dynamics Systems - 1


Lecture 5 - Maps and Flows. Simple Examples of Dynamics Systems - 2


Lecture 6 - Logistic map. Simple Examples of Bifurcations


Lecture 7 - Bifurcation Diagrams. Period 3 Implies Chaos. Characterizing Chaos


Lecture 8 - Characterizing The Period-Doubling Route to Chaos


Lecture 9 - Lyapunov Exponents; Invariant measures


Lecture 10 - Intermittency. Crises


Lecture 11 - Fractals


Lecture 12 - Chaos in Flows. The Lorenz and Rossler Systems


Lecture 13 - The Baker and Horseshoe Maps


Lecture 14 - Hamiltonian Chaos - 1


Lecture 15 - Hamiltonian Chaos - 2