Open AccessCritical Periods of Perturbations of Reversible Rigidly Isochronous Centers
Author(s) -
Jiamei Zhou,
Na Li,
Maoan Han
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/481501
Subject(s) - mathematics , bifurcation , polynomial , function (biology) , degree (music) , combinatorics , mathematical analysis , physics , quantum mechanics , nonlinear system , evolutionary biology , acoustics , biology
We study the problem of bifurcation of critical periods of a time-reversible polynomial system of degree n. We first present a new method to find the number of zeros of the period function. Then applying our results, we study the number of critical periods for some polynomial systems and obtain new results
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