Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 250, Issue 2, Pages 1026-1051Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2010.06.012
Keywords
Limit cycle; Hopf bifurcation; Non-smooth system
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Funding
- National Natural Science Foundation of China [10971139]
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In this paper we study the number of limit cycles appearing in Hopf bifurcations of piecewise planar Hamiltonian systems. For the case that the Hamiltonian function is a piecewise polynomials of a general form we obtain lower and upper bounds of the number of limit cycles near the origin respectively. For some systems of special form we obtain the Hopf cyclicity. (C) 2010 Elsevier Inc. All rights reserved.
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