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Course11510605929 lectures

Topics in Nonlinear Dynamics

Prof. V. Balakrishnan · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Topics in Nonlinear Dynamics

  1. Overview Video
  2. Critical points of a dynamical system Video
  3. Two-dimensional flows Video
  4. Stable and unstable manifolds Video
  5. Hamiltonian dynamics (Part I) Video
  6. Hamiltonian dynamics (Part II) Video
  7. Hamiltonian dynamics (Part III) Video
  8. Hamiltonian dynamics (Part IV) Video
  9. Hamiltonian dynamics (Part V) Video
  10. Elementary bifurcations Video
  11. Limit cycles Video
  12. Poincar´e index Video
  13. Illustrative examples Video
  14. Quiz 1. Questions and answers Video
  15. Bead on a rotating hoop Video
  16. Types of dynamical behaviour Video
  17. Discrete time dynamics (Part I) Video
  18. Discrete time dynamics(Part II) Video
  19. Discrete time dynamics (Part III) Video
  20. Discrete time dynamics (Part IV) Video
  21. Coarse-grained dynamics in phase space (Part I) Video
  22. Coarse-grained dynamics in phase space (Part II) & Stochastic dynamics (Part I) Video
  23. Stochastic dynamics (Part II) Video
  24. Stochastic dynamics (Part III) Video
  25. Coarse-grained dynamics in phase space (Part IV) & Stochastic dynamics (Part IV) Video
  26. Discrete time dynamics (Part V) Video
  27. Quiz 2. Questions and answers Video
  28. Stochastic dynamics (Part V) Video
  29. Stochastic dynamics (Part VI) Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Physics
Teacher
Prof. V. Balakrishnan
Level
Undergraduate
Language
English
Subjects
Physics
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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