Synchronization problems for unidirectional feedback coupled nonlinear systems
| dc.creator | Makarenkov, O. | |
| dc.creator | Nistri, P. | |
| dc.creator | Papini, D. | |
| dc.date | 2007-09-28 | |
| dc.date.accessioned | 2026-07-07T08:33:05Z | |
| dc.date.available | 2026-07-07T08:33:05Z | |
| dc.description | In this paper we consider three different synchronization problems consisting in designing a nonlinear feedback unidirectional coupling term for two (possibly chaotic) dynamical systems in order to drive the trajectories of one of them, the slave system, to a reference trajectory or to a prescribed neighborhood of the reference trajectory of the second dynamical system: the master system. If the slave system is chaotic then synchronization can be viewed as the control of chaos; namely the coupling term allows to suppress the chaotic motion by driving the chaotic system to a prescribed reference trajectory. Assuming that the entire vector field representing the velocity of the state can be modified, three different methods to define the nonlinear feedback synchronizing controller are proposed: one for each of the treated problems. These methods are based on results from the small parameter perturbation theory of autonomous systems having a limit cycle, from nonsmooth analysis and from the singular perturbation theory respectively. Simulations to illustrate the effectiveness of the obtained results are also presented. | |
| dc.description | To appear in Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal | |
| dc.identifier | https://arxiv.org/abs/0710.0004 | |
| dc.identifier | http://arxiv.org/abs/0710.0004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139002 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 34C28; 93C15; 93D09; 93D20 | |
| dc.title | Synchronization problems for unidirectional feedback coupled nonlinear systems | |
| dc.type | text |