Some bifurcation methods of finding limit cycles

Some bifurcation methods of finding limit cycles

In this paper we outline some methods of finding limit cycles for planar autonomous systems with small parameter perturbations. Three ways of studying Hopf bifurcations and the method of Melnikov functions in studying Poincaré bifurcations are introduced briefly. A new method of stability-changing i...

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Bibliographic Details
Main Authors: Maoan Han, Tonghua Zhang
Format: Article
Language:English
Published: AIMS Press 2005-10-01
Series:Mathematical Biosciences and Engineering
Subjects:
melnikov function
homoclinic bifurcation
stability-changing
hopf bifurcations.
poincare bifurcations
limit cycle
hilbert's 16th problem
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.67
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https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.67

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