Hopf bifurcation and symmetry: Standing and travelling waves in a circular chain
From MaRDI portal
Publication:3784902
DOI10.1007/BF03167098zbMath0642.58038OpenAlexW1993800552MaRDI QIDQ3784902
Stephan A. van Gils, Theo P. Valkering
Publication date: 1986
Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03167098
Periodic solutions to ordinary differential equations (34C25) Local and nonlocal bifurcation theory for dynamical systems (37G99) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)
Related Items
STABILITY AND BIFURCATION FOR A CLASS OF TRI-NEURON NETWORKS WITH BIDIRECTIONALLY DELAYED CONNECTIONS AND SELF-FEEDBACK, Pattern formation and continuation in a trineuron ring with delays, Stability of nonlinear waves in a ring of neurons with delays, Hopf bifurcating periodic orbits in a ring of neurons with delays, Multiple periodic solutions in a delay-coupled system of neural oscillators, A torus bifurcation theorem with symmetry, Traveling and standing waves in coupled pendula and Newton's cradle, Soliton decay in a Toda chain caused by dissipation, Hopf bifurcations of functional-differential equations with dihedral symmetries, On reduced variational equations of coupled systems, Theory and applications of Hopf bifurcations in symmetric functional differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Group theoretic methods in bifurcation theory. With an appendix by P. Olver
- Imperfect bifurcation in the presence of symmetry
- Dynamics and symmetry. Predictions for modulated waves in rotating fluids
- Bifurcation from rotating waves
- Smooth functions invariant under the action of a compact Lie group
- Bifurcation from simple eigenvalues
- Periodic travelling waves in a non-integrable one-dimensional lattice
- Bifurcation of periodic solutions in a rotationally symmetric oscillation system.
- Primary and secondary bifurcations in the Couette-Taylor problem
- Hopf bifurcation and symmetry: travelling and standing waves on the circle
- Bifurcations withO(3) symmetry including applications to the Bénard problem
- Bifurcating Periodic Solutions in Rotationally Symmetric Systems
- Hopf bifurcation in the presence of symmetry