NPTEL : NOC:Introductory Non-Linear Dynamics (Chemistry and Biochemistry)

Co-ordinators : Prof. Ramakrishna Ramaswamy

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