Nonlinear Dynamical System and Application

Nonlinear Dynamical System and Application课程：前往报名学习

Nonlinear Dynamical System and Application视频慕课课程简介：

This world is full of chaos but there still exists order. Why? Do you want to know the most famous theorems in the nonlinear dynamical system, such as Li-Yorke theorem, Smale horseshoe. Do you want to know what is the butterfly effect? If you are interested in these items in this course, come to this course you will be able to know them.

前往报名学习

Nonlinear Dynamical System and Application课程列表：

Chapter I Dynamical system

-1.2 Linearization

--Linearization

-1.3 Phase space

--Phase space

Chapter II Stability

-2.1 Lyapunov stability

--Lyapunov stability

--Lyapunov function

-2.2 Lyapunov function 1

--Lyapunov function 1

--Lyapunov function

-2.3 Lyapunov function 2

--Lyapunov function 2

--Lyapunov function 2

Chapter III Local bifurcation

-3.1 Saddle-node bifurcation 1

--Saddle-node bifurcation 1

--Saddle-node bifurcation

-3.2 Saddle-node bifurcation 2

--Saddle-node bifurcation 2

-3.3 Trancritical bifurcation 1

--Transcritical bifurcation 1

--Transcritical bifurcation

-3.4 Transcritical bifurcation 2

--Transcritical bifurcation 2

-3.5 Pitchfork bifurcation 1

--Pitchfork bifurcation 1

--Pitchfork bifurcation

-3.6 Pitchfork bifurcation 2

--Pitchfork bifurcation 2

-3.7 Hopf bifurcation 1

--Hopf bifurcation 1

-3.8 Hopf bifurcation 2

--Hopf bifurcation 2

--Hopf bifurcation

Chapter IV Center manifold

-4.1 Center manifold theory 1

--Center manifold theory 1

-4.2 Center manifold theory 2

--Center manifold theory 2

-4.3 Center manifold theory 3

--Center manifold theory 3

-4.4 Center manifold theory 4

--Center manifold theory 4

-4.5 Center manifold theory 5

--Center manifold theory 5

-4.6 Center manifold theory 6

--Center manifold theory 6

-Center manifold

Chapter V Normal form

-5.1 Normal form 1

--Normal form 1

-5.2 Normal form 2

--Normal form 2

-5.3 Normal form 3

--Normal form 3

-5.4 Normal form 4

--Normal form 4

-Normal form

Chapter VI Melnikov method

-6.1 Melnikov method 1

--Melnikov method 1

-6.2 Melnikov method 2

--Melnikov method 2

-6.3 Melnikov method 3

--Melnikov method 3

-6.4 Melnikov method 4

--Melnikov method 4

-6.5 Melnikov method 5

--Melnikov method 5

-6.6 Melnikov method 6

--Melnikov method 6

-Melnikov function

Chapter VII Li-Yorke theorem

-7.1 Li-Yorke theorem 1

--Li-Yorke theorem 1

-7.2 Li-Yorke theorem 2

--Li-Yorke theorem 2

-7.3 Li-Yorke theorem 3

--Li-Yorke theorem 3

-7.4 Li-Yorke theorem 4

--Li-Yorke theorem 4

-7.5 Li-Yorke theorem 5

--Li-Yorke theorem 5

-7.6 Li-Yorke theorem 6

--Li-Yorke theorem 6

-Li-Yorke theorem

Chapter VIII Marotto theorem

-8.1 Marotto theorem 1

--8.1 Marotoo theorem

-8.2 Marotto theorem 2

--8.2 Marotoo theorem

-Marotto theorem

Chapter VIIII Smale horseshoe and symbolic dynamics

-9.1 Smale Horseshoe 1

--9.1 Smale Horseshoe

-9.2 Smale Horseshoe 2

--9.2 Smale Horseshoe

-9.3 Symbolic dynamics

--9.3 Symbolic dynamics

-Smale horseshoe and symbolic dynamics

Chapter X Henon map

-10.1 Henon map 1

--Henon map 1

-10.2 Henon map 2

--Henon map 2

-Henon map

Chapter X! Application

-11.1 Bursting of a neuron model

--Bursting of a neuron model

-11.2 Bifurcation of a railway wheelset model

--Bifurcation of a wheelset model

-Application

Chapter 0 Introduction

-Introduction

-The final test

Nonlinear Dynamical System and Application开设学校：北京交通大学

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