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Título

Universal scaling of Lyapunov exponents in coupled chaotic oscillators

AutorLiu, Zonghua; Lai, Ying-Cheng; Matías, Manuel A.
Palabras clave[PACS] Synchronization; coupled oscillators
[PACS] Fluctuation phenomena, random processes, noise, and Brownian motion
Fecha de publicación28-abr-2003
EditorAmerican Physical Society
CitaciónPhysical Review E 67(4): 045203(R) (2003)
ResumenWe have uncovered a phenomenon in coupled chaotic oscillators where a subset of Lyapunov exponents, which are originally zero in the absence of coupling, can become positive as the coupling is increased. This occurs for chaotic attractors having multiple scrolls, such as the Lorenz attractor. We argue that the phenomenon is due to the disturbance to the relative frequencies with which a trajectory visits different scrolls of the attractor. An algebraic scaling law is obtained which relates the Lyapunov exponents with the coupling strength. The scaling law appears to be universal.
Descripción4 pages, 4 figures.-- PACS nrs.: 05.45.Xt, 05.40.-a.-- Rapid communication.
Versión del editorhttp://dx.doi.org/10.1103/PhysRevE.67.045203
URIhttp://hdl.handle.net/10261/14875
DOI10.1103/PhysRevE.67.045203
ISSN1539-3755
Aparece en las colecciones: (IFISC) Artículos
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