Computation of Lyapunov Exponents and Control of a Hyperchaotic System

<p>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.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (restricted to Georgia Southern)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2014

Author dc:creator

• Joseph, Adrian G.

Contributors dc:contributor

• Jiehua Zhu
• Alex Stokolos

• ETD
• Lyapunov exponents
• adaptive control
• Hyperchaotic
• Chen System
• Gram-Schmidt
• Control Theory
• Dynamic Systems
• Non-linear Dynamics

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/1094

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-2157