Dynamics analysis of fractional order Yu-Wang system

• Autorzy: Sachin Bhalekar
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Caputo fractional derivative; chaos control; synchronization; active control; fractional order dynamical systems

• Czasopismo: Open Physics
• Rocznik: 2013
• Tom: 11
• Numer: 10
• Strony: 1514-1522

Daty

wydano

2013-10-01

online

2013-12-19

Twórcy

autor

Sachin Bhalekar

• Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur, 416004, India,

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Identyfikatory

DOI

10.2478/s11534-013-0307-0