Physics - Topics in Nonlinear Dynamics (English)

   Wednesday, April 23, 2025   

Starting a new Lecture Notes Series on Physics - Topics in Nonlinear Dynamics

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Basic courses - Engineering Physics I By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 Overview

Lecture 2: Mod-01 Lec-02 Critical points of a dynamical system

Lecture 3: Mod-01 Lec-03 Two-dimensional flows

Lecture 4: Mod-01 Lec-04 Stable and unstable manifolds

Lecture 5: Mod-01 Lec-05 Hamiltonian dynamics (Part I)

Lecture 6: Mod-01 Lec-06 Hamiltonian dynamics (Part II)

Lecture 7: Mod-01 Lec-07 Hamiltonian dynamics (Part III)

Lecture 8: Mod-01 Lec-08 Hamiltonian dynamics (Part IV)

Lecture 9: Mod-01 Lec-09 Hamiltonian dynamics (Part V)

Lecture 10: Mod-01 Lec-10 Elementary bifurcations

Lecture 11: Mod-01 Lec-11 Limit cycles

Lecture 12: Mod-01 Lec-12 Poincar´e index

Lecture 13: Mod-01 Lec-13 Illustrative examples

Lecture 14: Mod-01 Lec-14 Quiz 1. Questions and answers

Lecture 15: Mod-01 Lec-15 Bead on a rotating hoop

Lecture 16: Mod-01 Lec-16 Types of dynamical behaviour

Lecture 17: Mod-01 Lec-17 Discrete time dynamics (Part I)

Lecture 18: Mod-01 Lec-18 Discrete time dynamics(Part II)

Lecture 19: Mod-01 Lec-19 Discrete time dynamics (Part III)

Lecture 20: Mod-01 Lec-20 Discrete time dynamics (Part IV)

Lecture 21: Mod-01 Lec-21 Coarse-grained dynamics in phase space (Part I)

Lecture 22: Mod-01 Lec-22 Coarse-grained dynamics in phase space (Part II)

Lecture 23: Mod-01 Lec-23 Stochastic dynamics (Part II)

Lecture 24: Mod-01 Lec-24 Stochastic dynamics (Part III)

Lecture 25: Mod-01 Lec-25 Coarse-grained dynamics in phase space (Part IV)

Lecture 26: Mod-01 Lec-26 Discrete time dynamics (Part V)

Lecture 27: Mod-01 Lec-27 Quiz 2. Questions and answers

Lecture 28: Mod-01 Lec-28 Stochastic dynamics (Part V)

Lecture 29: Mod-01 Lec-29 Stochastic dynamics (Part VI)