Chaos and Synchronization of Time-Delayed Fractional Neuron Network System

Author

Zhu, Hao ; Zhou, Shangbo ; Zhang, Weiwei

Author_Institution

Dept. of Comput., Chongqing Univ., Chongqing

fYear

2008

fDate

18-21 Nov. 2008

Firstpage

2937

Lastpage

2941

Abstract

In this paper, we study chaotic behaviors in the time-delayed fractional-order neuron network system. Basic properties of the system are analyzed by means of Lyapunov exponents and waveform diagrams. Nonlinear control theory is extended to the time-delayed fractional-order neuron network system. Moreover, chaos synchronization is investigated by the Laplace theorem. The study and experiment indicate that the chaos in fractional order neuron networks could be controlled and synchronized.

Keywords

Laplace equations; Lyapunov methods; delays; neurocontrollers; nonlinear control systems; synchronisation; waveform analysis; Laplace theorem; Lyapunov exponent; chaos synchronization; fractional-order differential equation; nonlinear control theory; time-delayed fractional neuron network system; waveform diagram; Chaos; Chaotic communication; Computer networks; Control theory; Differential equations; Frequency domain analysis; Frequency synchronization; Neurons; Nonlinear equations; Time domain analysis; Fractional; chaos; neuron network; synchronization; time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Young Computer Scientists, 2008. ICYCS 2008. The 9th International Conference for

Conference_Location

Hunan

Print_ISBN

978-0-7695-3398-8

Electronic_ISBN

978-0-7695-3398-8

Type

conf

DOI

10.1109/ICYCS.2008.107

Filename

4709450