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

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