Chaos suppression in fractional order systems using state-dependent noise

Noise play a creative role in the evolution of periodic and complex systems which are essential for continuous performance of the system. The interaction of noise generated within one component of a chaotic system with other component in a linear or nonlinear interaction is crucial for system perfor...

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Bibliographic Details
Published inarXiv.org
Main Authors Adelakun, A O, Ogunjo, S T, Fuwape, I A
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.02.2019
Subjects
Bifurcations
Chaos theory
Communications systems
Complex systems
Computer simulation
Noise
Period doubling
Physics - Chaotic Dynamics
System reliability
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Summary:Noise play a creative role in the evolution of periodic and complex systems which are essential for continuous performance of the system. The interaction of noise generated within one component of a chaotic system with other component in a linear or nonlinear interaction is crucial for system performance and stability. These types of noise are inherent, natural and insidious. This study investigates the effect of state-dependent noise on the bifurcation of two chaotic systems. Circuit realization of the systems were implemented. Numerical simulations were carried out to investigate the influence of state dependent noise on the bifurcation structure of the Chen and Arneodo-Coullet fractional order chaotic systems. Results obtained showed that state dependent noise inhibit the period doubling cascade bifurcation structure of the two systems. These results poses serious challenges to system reliability of chaotic systems in control design, secure communication and power systems.
ISSN:2331-8422
DOI:10.48550/arxiv.1902.05526