Local and global bifurcations with nonhyperbolic equilibria

zbMath0809.34055MaRDI QIDQ1333967

Dingjun Luo, Jian-Hua Sun

Publication date: 19 September 1994

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

heteroclinic orbitparameterglobal bifurcationssingularity theoryunfoldinggeneralized Mel'nikov functionglobal heteroclinic bifurcationsthree-dimensional autonomous ordinary differential equation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamical systems and ergodic theory (37-XX)

Related Items (11)

Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation ⋮ Bifurcation and chaotic dynamics of homoclinic systems in ℝ3 ⋮ Degenerate orbit flip homoclinic bifurcations with higher dimensions ⋮ Bifurcation and chaotic dynamics of homoclinic systems in ℝ3 ⋮ On the unresolved cases of convergence of bidimensional slow discrete dynamical systems ⋮ Exponential trichotomy and heteroclinic bifurcations ⋮ Melnikov vector function for high-dimensional maps ⋮ Three dimensional nilpotent singularity and Sil'nikov bifurcation ⋮ Bifurcations of fine 3-point-loop in higher dimensional space ⋮ Homoclinic bifurcations in symmetric unfoldings of a singularity with three-fold zero eigenvalue ⋮ Bifurcations of rough heteroclinic loops with three saddle points

This page was built for publication: Local and global bifurcations with nonhyperbolic equilibria