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Mod-01 Lec-04 Stable and unstable manifolds
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Classroom Contents
Topics in Nonlinear Dynamics
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- 1 Mod-01 Lec-01 Overview
- 2 Mod-01 Lec-02 Critical points of a dynamical system
- 3 Mod-01 Lec-03 Two-dimensional flows
- 4 Mod-01 Lec-04 Stable and unstable manifolds
- 5 Mod-01 Lec-05 Hamiltonian dynamics (Part I)
- 6 Mod-01 Lec-06 Hamiltonian dynamics (Part II)
- 7 Mod-01 Lec-07 Hamiltonian dynamics (Part III)
- 8 Mod-01 Lec-08 Hamiltonian dynamics (Part IV)
- 9 Mod-01 Lec-09 Hamiltonian dynamics (Part V)
- 10 Mod-01 Lec-10 Elementary bifurcations
- 11 Mod-01 Lec-11 Limit cycles
- 12 Mod-01 Lec-12 Poincar´e index
- 13 Mod-01 Lec-13 Illustrative examples
- 14 Mod-01 Lec-14 Quiz 1. Questions and answers
- 15 Mod-01 Lec-15 Bead on a rotating hoop
- 16 Mod-01 Lec-16 Types of dynamical behaviour
- 17 Mod-01 Lec-17 Discrete time dynamics (Part I)
- 18 Mod-01 Lec-18 Discrete time dynamics(Part II)
- 19 Mod-01 Lec-19 Discrete time dynamics (Part III)
- 20 Mod-01 Lec-20 Discrete time dynamics (Part IV)
- 21 Mod-01 Lec-21 Coarse-grained dynamics in phase space (Part I)
- 22 Mod-01 Lec-22 Coarse-grained dynamics in phase space (Part II)
- 23 Mod-01 Lec-23 Stochastic dynamics (Part II)
- 24 Mod-01 Lec-24 Stochastic dynamics (Part III)
- 25 Mod-01 Lec-25 Coarse-grained dynamics in phase space (Part IV)
- 26 Mod-01 Lec-26 Discrete time dynamics (Part V)
- 27 Mod-01 Lec-27 Quiz 2. Questions and answers
- 28 Mod-01 Lec-28 Stochastic dynamics (Part V)
- 29 Mod-01 Lec-29 Stochastic dynamics (Part VI)