Nature of weak generalized synchronization in chaotically driven maps

Keller, Gerhard ; Jafri, Haider H. ; Ramaswamy, Ram (2013) Nature of weak generalized synchronization in chaotically driven maps Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 87 . Article ID 042913. ISSN 1539-3755

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Official URL: http://journals.aps.org/pre/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevE.87.042913

Abstract

Weak generalized synchrony in a drive-response system occurs when the response dynamics is a unique but nondifferentiable function of the drive, in a manner that is similar to the formation of strange nonchaotic attractors in quasiperiodically driven dynamical systems. We consider a chaotically driven monotone map and examine the geometry of the limit set formed in the regime of weak generalized synchronization. The fractal dimension of the set of zeros is studied both analytically and numerically. We further examine the stable and unstable sets formed and measure the regularity of the coupling function. The stability index as well as the dimension spectrum of the equilibrium measure can be computed analytically.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:98810
Deposited On:14 May 2015 06:33
Last Modified:14 May 2015 06:33

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