Forced symmetry breaking of homoclinic cycles

DOI10.1088/0951-7715/8/3/003zbMath0841.58048OpenAlexW2093198299WikidataQ60143947 ScholiaQ60143947MaRDI QIDQ4838008

Arnd Scheel, Björn Sandstede

Publication date: 18 July 1996

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fa56d9973dadab0092f464bfb0bbd132d26037cb

zbMATH Keywords

stabilitybifurcationssymmetry breakinghomoclinic cycleequivariant equations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Heteroclinic and periodic cycles in a perturbed convection model, Transverse bifurcations of homoclinic cycles, Robust heteroclinic cycles, Constructing dynamical systems having homoclinic bifurcation points of codimension two, Forced symmetry breaking of homoclinic cycles in a PDE with O(2) symmetry, From coupled networks of systems to networks of states in phase space, The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit, A low-dimensional model of binocular rivalry using winnerless competition, Heteroclinic dynamics of localized frequency synchrony: heteroclinic cycles for small populations, A mechanism for switching near a heteroclinic network, ROBUST BURSTING TO THE ORIGIN: HETEROCLINIC CYCLES WITH MAXIMAL SYMMETRY EQUILIBRIA, On the complexity of periodic and nonperiodic behaviors of a hysteresis-based electronic oscillator, Essentially asymptotically stable homoclinic networks