Dynamics analysis of fractional order Yu-Wang system

dc.contributor.author	Bhalekar, Sachin
dc.date.accessioned	2022-03-27T04:08:18Z
dc.date.available	2022-03-27T04:08:18Z
dc.date.issued	2013-10-21
dc.description.abstract	Fractional order version of a dynamical system introduced by Yu and Wang (Engineering, Technology & Applied Science Research, 2, (2012) 209-215) is discussed in this article. The basic dynamical properties of the system are studied. Minimum effective dimension 0.942329 for the existence of chaos in the proposed system is obtained using the analytical result. For chaos detection, we have calculated maximum Lyapunov exponents for various values of fractional order. Feedback control method is then used to control chaos in the system. Further, the system is synchronized with itself and with fractional order financial system using active control technique. Modified Adams-Bashforth-Moulton algorithm is used for numerical simulations. © 2013 Versita Warsaw and Springer-Verlag Wien.
dc.identifier.citation	Central European Journal of Physics. v.11(10)
dc.identifier.issn	18951082
dc.identifier.uri	10.2478/s11534-013-0307-0
dc.identifier.uri	https://www.degruyter.com/document/doi/10.2478/s11534-013-0307-0/html
dc.identifier.uri	https://dspace.uohyd.ac.in/handle/1/6417
dc.subject	active control
dc.subject	Caputo fractional derivative
dc.subject	chaos control
dc.subject	fractional order dynamical systems
dc.subject	synchronization
dc.title	Dynamics analysis of fractional order Yu-Wang system
dc.type	Journal. Article
dspace.entity.type

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