BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS

DOI10.1142/S0218127412502781zbMath1258.34093OpenAlexW2003626137MaRDI QIDQ4908383

Zhenzhen Wang, De-Ming Zhu, Xing Bo Liu

Publication date: 5 March 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127412502781

zbMATH Keywords

bifurcationheteroclinic looplocal coordinateorbit flips

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (5)

Loop Numbers for the Stability of Homoclinic Loops of Planar Vector Fields ⋮ Nongeneric bifurcations near a nontransversal heterodimensional cycle ⋮ Heterodimensional cycle bifurcation with two orbit flips ⋮ GLOBAL BIFURCATIONS NEAR A DEGENERATE HETERODIMENSIONAL CYCLE ⋮ Generic unfolding of a degenerate heterodimensional cycle

Cites Work

• Heteroclinic orbits in slow-fast Hamiltonian systems with slow manifold bifurcations
• Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip
• Branching of double pulse solutions from single pulse solutions in nerve axon equations
• Bifurcations of heteroclinic loops
• Constructing dynamical systems having homoclinic bifurcation points of codimension two
• When gap solitons become embedded solitons: A generic unfolding
• Inclination-flip homoclinic orbits arising from orbit-flip
• Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations
• Lorenz attractors in unfoldings of homoclinic-flip bifurcations
• HETERODIMENSIONAL CYCLE BIFURCATION WITH ORBIT-FLIP
• Resonant homoclinic flip bifurcations

This page was built for publication: BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS