Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles - Softcover

Book 59 of 94: Applied Mathematical Sciences

Han, Maoan; Yu, Pei

 
9781447129196: Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

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Synopsis

Hopf Bifurcation and Normal Form Computation.- Comparison of Methods for Computing Focus Values.- Application (I)-Hilbert's 16th Problem.- Application (II)-Practical Problems.- Fundamental Theory of the Melnikov Function Method.- Limit Cycle Bifurcations Near a Center.- Limit Cycles Near a Homoclinic or Heteroclinic Loop.- Finding More Limit Cycles Using Melnikov Functions.- Limit Cycle Bifurcations in Equivariant Systems.

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