Bifurcations of heterodimensional cycles with two saddle points

DOI10.1016/j.chaos.2007.06.077zbMath1197.37063OpenAlexW2075343882MaRDI QIDQ712112

Fengjie Geng, De-Ming Zhu, Yan Cong Xu

Publication date: 28 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.06.077

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (10)

Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation ⋮ Non-resonance 3D homoclinic bifurcation with an inclination flip ⋮ Weak type heterodimensional cycle bifurcation with orbit-flip ⋮ GLOBAL BIFURCATIONS NEAR A DEGENERATE HETERODIMENSIONAL CYCLE ⋮ BIFURCATIONS OF 2-2-1 HETERODIMENSIONAL CYCLES UNDER TRANSVERSALITY CONDITION ⋮ HETERODIMENSIONAL CYCLE BIFURCATION WITH ORBIT-FLIP ⋮ Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3 ⋮ Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip ⋮ NONRESONANT BIFURCATIONS OF HETEROCLINIC LOOPS WITH ONE INCLINATION FLIP ⋮ DEGENERATE BIFURCATIONS OF HETERODIMENSIONAL CYCLES WITH ORBIT FLIP

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• CODIMENSION 3 HOMOCLINIC BIFURCATION OF ORBIT FLIP WITH RESONANT EIGENVALUES CORRESPONDING TO THE TANGENT DIRECTIONS

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