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Homoclinic bifurcation with codimension 3

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Publication:1333941
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zbMath0809.34062MaRDI QIDQ1333941

De-Ming Zhu

Publication date: 30 March 1995

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


zbMATH Keywords

stability criterionhomoclinic looptwo-dimensional autonomous ordinary differential equationAndronov-Leontovitch bifurcationMel'nikov function


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)


Related Items (6)

Twisted bifurcations and stability of homoclinic loop with higher dimensions ⋮ Homoclinic bifurcation of orbit flip with resonant principal eigenvalues ⋮ Problems in homoclinic bifurcation with higher dimensions ⋮ Bifurcations of nontwisted heteroclinic loop. ⋮ Bifurcations of fine 3-point-loop in higher dimensional space ⋮ Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop




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