HETERODIMENSIONAL CYCLE BIFURCATION WITH ORBIT-FLIP

DOI10.1142/S0218127410025569zbMath1188.34044OpenAlexW3023911661MaRDI QIDQ3567264

Tian-Si Zhang, Qiuying Lu, Zhiqin Qiao, De-Ming Zhu

Publication date: 11 June 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127410025569

zbMATH Keywords

periodic orbitheteroclinic orbithomoclinic orbitheterodimensional cyclelocal moving frameorbit-flip

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 (11)

Nongeneric bifurcations near a nontransversal heterodimensional cycle ⋮ Bifurcation of an orbit homoclinic to a hyperbolic saddle of a vector field in \(\mathbb{R}^4\) ⋮ Weak type heterodimensional cycle bifurcation with orbit-flip ⋮ Heterodimensional cycle bifurcation with two orbit flips ⋮ GLOBAL BIFURCATIONS NEAR A DEGENERATE HETERODIMENSIONAL CYCLE ⋮ Generic unfolding of a degenerate heterodimensional cycle ⋮ BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS ⋮ Bifurcation analysis of the multiple flips homoclinic orbit ⋮ Resonant homoclinic flips bifurcation in principal eigendirections ⋮ Codimension-4 resonant homoclinic bifurcations with orbit flips and inclination flips ⋮ DEGENERATE BIFURCATIONS OF HETERODIMENSIONAL CYCLES WITH ORBIT FLIP

Cites Work

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• CODIMENSION 3 HOMOCLINIC BIFURCATION OF ORBIT FLIP WITH RESONANT EIGENVALUES CORRESPONDING TO THE TANGENT DIRECTIONS
• The Structure of Local Homeomorphisms, III

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