Synchronization of strange nonchaotic attractors

Ramaswamy, Ramakrishna (1997) Synchronization of strange nonchaotic attractors Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 56 (6). pp. 7294-7296. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v56/i6/p7294_1

Related URL: http://dx.doi.org/10.1103/PhysRevE.56.7294

Abstract

Strange nonchaotic attractors (SNAs), which are realized in many quasiperiodically driven nonlinear systems, are strange (geometrically fractal) but nonchaotic (the largest nontrivial Lyapunov exponent is negative). Two such identical independent systems can be synchronized by in-phase driving: Because of the negative Lyapunov exponent, the systems converge to a common dynamics, which, because of the strangeness of the underlying attractor, is aperiodic. This feature, which is robust to external noise, can be used for applications such as secure communication. A possible implementation is discussed and its performance is evaluated. The use of SNAs rather than chaotic attractors can offer some advantages in experiments involving synchronization with aperiodic dynamics.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:45342
Deposited On:28 Jun 2011 04:47
Last Modified:18 May 2016 01:37

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