Multistability in dynamical systems
| dc.creator | Mendes, R. Vilela | |
| dc.date | 1999-03-30 | |
| dc.date.accessioned | 2026-07-07T02:35:42Z | |
| dc.date.available | 2026-07-07T02:35:42Z | |
| dc.description | In neuroscience, optics and condensed matter there is ample physical evidence for multistable dynamical systems, that is, systems with a large number of attractors. The known mathematical mechanisms that lead to multiple attractors are homoclinic tangencies and stabilization, by small perturbations or by coupling, of systems possessing a large number of unstable invariant sets. A short review of the existent results is presented, as well as two new results concerning the existence of a large number of stable periodic orbits in a perturbed marginally stable dissipative map and an infinite number of such orbits in two coupled quadratic maps working on the Feigenbaum accumulation point. | |
| dc.description | 11 pages Latex, to appear in Dynamical Systems: From Crystal to Chaos, World Scientific, 1999 | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9904004 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9904004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15702 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Multistability in dynamical systems | |
| dc.type | text |