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What is the best advantage from the computation of normal form of Hopf bifurcation?
What is the effect of the high order term of normal form? Can we delete all high order terms?
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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