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Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

Hardcover

Series: Applied Mathematical Sciences, Book 181

General MathematicsGeneral Science

ISBN10: 1447129172
ISBN13: 9781447129172
Publisher: Springer Nature
Published: Apr 15 2012
Pages: 404
Weight: 1.67
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English

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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General Mathematics