BIFURCATIONS OF HOMOCLINIC ORBIT CONNECTING TWO NONLEADING EIGENDIRECTIONS

DOI10.1142/S0218127407017574zbMath1140.37346OpenAlexW2081334888MaRDI QIDQ3499159

Tian-Si Zhang, De-Ming Zhu

Publication date: 28 May 2008

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

Full work available at URL: https://doi.org/10.1142/s0218127407017574

zbMATH Keywords

periodic orbithomoclinic orbitbifurcation surfacesfour-dimensional systemnonleading eigendirectionstrong stable and strong unstable directions

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items

On the existence of homoclinic orbits in \(n\)-dimensional piecewise affine systems ⋮ Bifurcations of Heteroclinic Loop with Twisted Conditions ⋮ Bifurcation of an orbit homoclinic to a hyperbolic saddle of a vector field in \(\mathbb{R}^4\) ⋮ BIFURCATIONS OF 2-2-1 HETERODIMENSIONAL CYCLES UNDER TRANSVERSALITY CONDITION ⋮ 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

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