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Bifurcation of limit cycles from a double homoclinic loop with a rough saddle

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Publication:1884130
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DOI10.1142/S025295990400024XzbMath1059.34027OpenAlexW2313258859MaRDI QIDQ1884130

Ping Bi, Mao'an Han

Publication date: 25 October 2004

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s025295990400024x

zbMATH Keywords

bifurcationlimit cycleplanar systemdouble homoclinic loop


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)


Related Items

Bifurcations of invariant tori and subharmonic solutions of singularly perturbed system, The twisting bifurcations of double homoclinic loops with resonant eigenvalues, Global bifurcation of a perturbed double-homoclinic loop



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