Term of Award

Spring 2014

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Department

Department of Mathematical Sciences

Committee Chair

Yan Wu

Committee Member 1

Jiehua Zhu

Committee Member 2

Alex Stokolos

Abstract

This paper presents algorithms developed in MATLAB to simulate the hyperchaotic Chen system and also estimates the largest Lyapunov characteristic exponent (LCE) and provides a method to compute the entire Lyapunov spectrum of the dynamical system. The computation of the Lyapunov spectrum relies on calculating the order-p LCEs and repeated application of the Gram-Schmidt orthonormalization procedure. We expect two positive LCEs for the Chen System. The program is adaptive to any n-th order chaotic and hyperchaotic systems. Controllers are then developed in order to stablize the hyperchaotic Chen system via linear feedback, speed feedback and nonlinear feedback control and a stability analysis is presented.

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