Synchronization of a new fractional-order hyperchaotic system<br /> based on nonlinear observer<br />
Journal Title: Science Paper Online - Year 2009, Vol 4, Issue 2
Abstract
In this paper, the hyperchaotic behaviors in a new fractional order four-dimensional system are numerically investigated. By utilizing the fractional calculus theory and computer simulations, it is found that hyperchaos exists in the new fractional order four-dimensional system with order less than 4. The lowest order to have hyperchaos in this system is 2.88. The results are validated by the existence of two positive Lyapunov exponents. Based on the stability theory of the fractional order system and the pole placement technique, a nonlinear state observer is designed which can achieve synchronization in a class of nonlinear fractional order system. This synchronization scheme is rather simple, theoretically rigorous and convenient to implement.. Furthermore, the rate of achieving synchronization is very fast. Finally, the method has been used for achieving the synchronization of the new fractional order hyperchaotic system, and numerical results show the effectiveness of the proposed synchronization scheme.
Authors and Affiliations
Xiangjun WU, Hongtao LU
Keywords
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