Current Developments in Mathematical Sciences

Current Developments in Mathematical Sciences

Volume: 1

Frontiers in Fractional Calculus

This book brings together eleven topics on different aspects of fractional calculus in a single volume. It provides readers the basic knowledge of fractional calculus and introduces advanced topics ...
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Dynamics of Fractional Order Modified Bhalekar- Gejji System

Pp. 159-182 (24)

Sachin Bhalekar

Abstract

In the present chapter, we study the dynamics of modified Bhalekar-Gejji system. We discuss the stability, symmetry, dissipativity and chaos in the proposed system. We control the chaos using linear feedback control and synchronize the system with new chaotic system using active control.

Keywords:

Chaos, fractional order, Bhalekar-Gejji system, synchronization.

Affiliation:

Department of Mathematics, Shivaji University, Kolhapur 416004, India.