ON A DYNAMICAL SYSTEM WITH MULTIPLE CHAOTIC ATTRACTORS-Reference-Cited by-同舟云学术

ON A DYNAMICAL SYSTEM WITH MULTIPLE CHAOTIC ATTRACTORS

Published:2007-09 Issue:09 Volume:17 Page:3235-3251
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LUO XIAODONG¹,SMALL MICHAEL¹,DANCA MARIUS-F.²,CHEN GUANRONG³

Affiliation:

1. Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, P. R. China

2. Department of Applied Sciences, Avram Iancu University, Cluj-Napoca, Romania

3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, P. R. China

Abstract

The chaotic behavior of the Rabinovich–Fabrikant system, a model with multiple topologically different chaotic attractors, is analyzed. Because of the complexity of this system, analytical and numerical studies of the system are very difficult tasks. Following the investigation of this system carried out in [Danca & Chen, 2004], this paper verifies the presence of multiple chaotic attractors in the system. Moreover, the Monte Carlo hypothesis test (or, equivalently, surrogate data test) is applied to the system for the detection of chaos.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127407018993

Reference25 articles.

1. Quantification of Restoration Success Using Complex Systems Concepts and Models

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