Indian Journal of Industrial and Applied Mathematics
  • Year: 2016
  • Volume: 7
  • Issue: 2

Anti-Synchronization of Chaotic Financial Systems by Using Fuzzy Logic Constant Controller

1Professor, Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, 110025, India

2Ph.D Scholar, Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, 110025, India

*(Corresponding Author) E-mail-id: sanjay.jmi14@gmail.com

**khanayubdu@yahoo.com

Abstract

In this paper, we have introduced the fuzzy logic constant controller (FLCC) to chaos control. This method (FLCC) is developed via fuzzy logic design and the Lyapunov direct method. In traditional methods, Lyapunov direct method is complicated. But the idea of FLCC designed by using the upper bound and lower bound of error dynamics through the fuzzy logic rule based, which adjusts the strength of controllers according to the error derivatives. Lyapunov exponent of chaotic finance systems are computed. Analytical and computational studies of an identical finance models have been performed by using the FLCCs. The qualitative and simulated results are in an excellent agreement.

Keywords

Anti-synchronization, Finance system, Fuzzy rules, Fuzzy logic constant controller(FLCC)