Title :
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
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;
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
DOI :
10.1109/ICYCS.2008.107
