Details

Subject(s)

• Limit cycles [Browse]
• Bifurcation theory [Browse]
• Normal forms (Mathematics) [Browse]
• Nonlinear systems [Browse]

Related name

Yu, Pei, 1947- [Browse]

Series

• Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 181. [More in this series]
• Applied mathematical sciences, 0066-5452 ; v. 181

Bibliographic references

Includes bibliographical references (p. 383-392) and index.

Contents

• Introduction
• 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.

Show 7 more Contents items

Other format(s)

"The Maple programs for the semisimple case .. and Hopf bifurcation ... can be found on 'Springer Extras' (http://extras.springer.com) as electronic supplementary material ... More Maple programs for other singularities can be found from http://pyu1.apmaths.uwo.ca/~pyu/pub/index/software.html" --P. vii.

ISBN

• 9781447129172 (acid-free paper)
• 1447129172 (acid-free paper)

LCCN

2012936364

OCLC

775403211

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