An extended active control for chaos synchronization

作者：Tang Rong An^*; Liu Ya Li; Xue Ju Kui

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2009, 373(16): 1449-1454.

DOI：10.1016/j.physleta.2009.02.036

• Chaos synchronization
• Control strength
• Extended active control
• Rossler system
• Liu's four-scroll system
• Chen system
• The largest Lyapunov exponent

By introducing a control strength matrix, the active control theory in chaotic synchronization is developed. With this extended method, chaos complete synchronization can be achieved more easily, i.e., a much smaller control signal is enough to reach synchronization in most cases. Numerical simulations on Rossler, Liu's four-scroll, and Chen system confirmed this and show that the synchronization result depends oil the control strength significantly. Especially, in the case of Liu and Chen systems, the response systems' largest Lyapunov exponents' variation with the control strength is not monotone and there exist minima. It is novel for Chen system that the synchronization speed with a special small strength is higher than that of the usual active control which, as a special case of the extended method, has a much larger control strength. All these results indicate that the control strength is an important factor in the actual synchronization. So, with this extended active control, one can make a better and more practical synchronization scheme by adjusting the control strength matrix.

• 出版日期2009-4-6
• 单位西北师范大学