Continuation of solutions of coupled dynamical systems
| dc.creator | Chen, Tianping | |
| dc.creator | Wu, Wei | |
| dc.date | 2007-08-31 | |
| dc.date.accessioned | 2026-07-07T08:26:51Z | |
| dc.date.available | 2026-07-07T08:26:51Z | |
| dc.description | Recently, the synchronization of coupled dynamical systems has been widely studied. Synchronization is referred to as a process wherein two (or many) dynamical systems are adjusted to a common behavior as time goes to infinity, due to coupling or forcing. Therefore, before discussing synchronization, a basic problem on continuation of the solution must be solved: For given initial conditions, can the solution of coupled dynamical systems be extended to the infinite interval $[0,+\infty)$? In this paper, we propose a general model of coupled dynamical systems, which includes previously studied systems as special cases, and prove that under the assumption of QUAD, the solution of the general model exists on $[0,+\infty)$. | |
| dc.identifier | https://arxiv.org/abs/0708.4275 | |
| dc.identifier | http://arxiv.org/abs/0708.4275 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137083 | |
| dc.subject | Dynamical Systems | |
| dc.title | Continuation of solutions of coupled dynamical systems | |
| dc.type | text |