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Course10410211416 lectures

Introductory Non-Linear Dynamics

Prof. Ramakrishna Ramaswamy · IIT Delhi

Start with lecture 1 At NPTEL

Lectures

Module 1

  1. Introduction, Stability, Phase Space & Invariant Sets-1 Video
  2. Introduction, Stability, Phase Space & Invariant Sets-2 Video
  3. Introduction, Stability, Phase Space & Invariant Sets-3 Video
  4. Maps & Flows. Simple Examples of Dynamics Systems-1 Video

Module 2

  1. Maps & Flows. Simple Examples of Dynamics Systems-2 Video
  2. Logistic map. Simple Examples of Bifurcations. Video
  3. Bifurcation Diagrams. Period 3 Implies Chaos. Characterizing Chaos Video
  4. Characterizing The Period-Doubling Route to Chaos Video

Module 3

  1. Lyapunov Exponents; Invariant measures Video
  2. Intermittency. Crises Video
  3. Fractals Video
  4. Chaos in Flows. The Lorenz and Rossler Systems. Video

Module 4

  1. The Baker and Horseshoe Maps Video
  2. Hamiltonian Chaos-1 Video
  3. Hamiltonian Chaos-2 Video

Live Session

  1. Live Session 25-09-2019 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Delhi
Department
Chemistry and Biochemistry
Teacher
Prof. Ramakrishna Ramaswamy
Level
Undergraduate
Language
English
Subjects
Chemistry
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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