Topics in Nonlinear Dynamics (USB)

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SKU
115106059



Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof. V. Balakrishnan

NPTEL Co-ordinating Institute : IIT Madras

NPTEL Lecture Count : 29

NPTEL Course Size : 15 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)


Lecture Titles:

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

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