Can the shape of attractor forbid chaotic phase synchronization?

Autor:	Michael A. Zaks, Park Eh
Rok vydání:	2005
Předmět:	Models Statistical Time Factors Computer science Physics Synchronization of chaos Biophysics Chaotic Systems Theory Models Theoretical Topology Phase synchronization Synchronization Time Physical Phenomena Nonlinear system Nonlinear Dynamics Oscillometry Physical phenomena Attractor
Zdroj:	Physical Review E. 72
ISSN:	1550-2376 1539-3755
Popis:	We address the question, which properties of a chaotic oscillator are crucial for its ability/inability to synchronize with external force or other similar oscillators. The decisive role is played by temporal coherency whereas the shape of the attractor is less important. We discuss the role of coordinate-dependent reparameterizations of time which preserve the attractor geometry but greatly influence the coherency. An appropriate reparameterization enables phase synchronization in coupled multiscroll attractors. In contrast, the ability to synchronize phases for nearly isochronous oscillators can be destroyed by a reparameterization which washes out the characteristic time scale.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2afe4a57e885c8274bd68945551f5444 https://doi.org/10.1103/physreve.72.026215 Zobrazit plný text záznamu