Journal
PHYSICS LETTERS A
Volume 381, Issue 22, Pages 1893-1898Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2017.04.005
Keywords
Anticipatory chaotic synchronization; All-pass filter; Pade approximation; Laplace transform; Rossler system
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Funding
- Research Council of Lithuania [MIP-15040/2015]
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An anticipatory chaotic synchronization scheme based on a low-order all-pass filter is proposed. The filter is designed as a Fade approximation to the transfer function of an ideal delay line, which is used in a standard Voss scheme. We show that despite its simplicity, the filter works in an anticipatory scheme as well as an ideal delay line. It provides extremely small synchronization error in the whole interval of anticipation time where the anticipatory manifold is stable. The efficacy of our scheme is explained by an analytically solvable model of unidirectionally coupled unstable spirals and confirmed numerically by an example of unidirectionally coupled chaotic Rossler systems. (C) 2017 Elsevier B.V. All rights reserved.
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