Multi-switching combination synchronization of chaotic systems

被引:52
作者
Vincent, U. E. [1 ,2 ]
Saseyi, A. O. [1 ]
McClintock, P. V. E. [2 ]
机构
[1] Redeemers Univ, Dept Phys Sci, Redemption City, Nigeria
[2] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England
关键词
Multi-switching; Combination Synchronization; Chaos; Backstepping; FUNCTION PROJECTIVE SYNCHRONIZATION; OBSERVER;
D O I
10.1007/s11071-015-1910-y
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
A novel synchronization scheme is proposed for a class of chaotic systems, extending the concept of multi-switching synchronization to combination synchronization such that the state variables of two or more driving systems synchronize with different state variables of the response system, simultaneously. The new scheme, multi-switching combination synchronization (MSCS), represents a significant extension of earlier multi-switching schemes in which two chaotic systems, in a driver-response configuration, are multi-switched to synchronize up to a scaling factor. In MSCS, the chaotic driving systems multi-switch a response chaotic system in combination synchronization. For certain choices of the scaling factors, MSCS reduces to multi-switching synchronization, implying that the latter is a special case of MSCS. A theoretical approach to control design, based on backstepping, is presented and validated using numerical simulations.
引用
收藏
页码:845 / 854
页数:10
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