当前课程知识点:Nonlinear Dynamical System and Application > Chapter 0 Introduction > The final test > Smale horseshoe and symbolic dynamics
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Consider the fixed point and its period of the shift map.
What is the main idea of Smale horseshoe?
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-1.2 Linearization
-1.3 Phase space
-2.1 Lyapunov stability
-2.2 Lyapunov function 1
-2.3 Lyapunov function 2
-3.1 Saddle-node bifurcation 1
-3.2 Saddle-node bifurcation 2
-3.3 Trancritical bifurcation 1
-3.4 Transcritical bifurcation 2
-3.5 Pitchfork bifurcation 1
-3.6 Pitchfork bifurcation 2
-3.7 Hopf bifurcation 1
-3.8 Hopf bifurcation 2
-4.1 Center manifold theory 1
-4.2 Center manifold theory 2
-4.3 Center manifold theory 3
-4.4 Center manifold theory 4
-4.5 Center manifold theory 5
-4.6 Center manifold theory 6
-5.1 Normal form 1
-5.2 Normal form 2
-5.3 Normal form 3
-5.4 Normal form 4
-6.1 Melnikov method 1
-6.2 Melnikov method 2
-6.3 Melnikov method 3
-6.4 Melnikov method 4
-6.5 Melnikov method 5
-6.6 Melnikov method 6
-7.1 Li-Yorke theorem 1
-7.2 Li-Yorke theorem 2
-7.3 Li-Yorke theorem 3
-7.4 Li-Yorke theorem 4
-7.5 Li-Yorke theorem 5
-7.6 Li-Yorke theorem 6
-8.1 Marotto theorem 1
-8.2 Marotto theorem 2
-9.1 Smale Horseshoe 1
-9.2 Smale Horseshoe 2
-9.3 Symbolic dynamics
-Smale horseshoe and symbolic dynamics
-10.1 Henon map 1
-10.2 Henon map 2
-11.1 Bursting of a neuron model
-11.2 Bifurcation of a railway wheelset model
--Bifurcation of a wheelset model
-The final test