Titlebook: Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles; Maoan Han,Pei Yu Book 2012 Springer-Verlag London Limited 2012 Hamilton

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Maoan Han,Pei Yu in industry in order to get a deeper understanding of the interdependencies in design practice influencing design productivity. The overall aim of this project is to outline a model of group design processes as a basis for further development of systematic design with special emphasis on teamwork..

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in industry in order to get a deeper understanding of the interdependencies in design practice influencing design productivity. The overall aim of this project is to outline a model of group design processes as a basis for further development of systematic design with special emphasis on teamwork..

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Maoan Han,Pei YuIntertwines classic topics with new results to provide extensive coverage of the area.An ample amount of worked out examples and user-friendly algorithms are supplied for both theory and application.I

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Introduction,Chapter 1 is an introduction, presenting the background for nonlinear dynamics, bifurcation and stability, normal form method, Melnikov function and Hilbert’s 16th problem.

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Limit Cycles Near a Homoclinic or Heteroclinic Loop,Chapter 8 considers bifurcation of limit cycles near a homoclinic or heteroclinic loop. The method of computing the Melnikov functions near a homoclinic or heteroclinic loop is developed and explicit formulae for the coefficients in the expansion of the Melnikov function are derived. Double homoclinic loop is also studied in this chapter.