SYNCHRONIZATION OF CHAOTIC SYSTEMS DRIVEN BY IDENTICAL NOISE-Reference-Cited by-同舟云学术

SYNCHRONIZATION OF CHAOTIC SYSTEMS DRIVEN BY IDENTICAL NOISE

Published:1999-03 Issue:03 Volume:09 Page:533-539
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

KAULAKYS B.¹²,IVANAUSKAS F.³,MEŠKAUSKAS T.³

Affiliation:

1. Institute of Theoretical Physics and Astronomy, A. Goštauto 12, 2600 Vilnius, Lithuania

2. Department of Physics, Vilnius University, Saulėtekio al. 9, 2040 Vilnius, Lithuania

3. Department of Mathematics, Vilnius University, Naugarduko 24, 2006 Vilnius, Lithuania

Abstract

An analysis of transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces is presented. The synchronization phenomenon is investigated in the ensemble of particles moving with friction in the time-dependent potential and driven by the identical noise. The threshold values of the parameters for transition from chaotic to nonchaotic behavior are obtained and dependencies of the Lyapunov exponents and power spectral density of the current of the ensemble of particles on the nonlinearity of the systems and intensity of the driven force are analyzed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499000365

Reference9 articles.

1. Why do Chaotic Orbits Converge under a Random Velocity Reset?

2. Transition from chaotic to nonchaotic behavior in randomly driven systems

3. The origin of non-chaotic behavior in identically driven systems

4. Transition to nonchaotic behavior in a Brownian-type motion

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