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Multi-switching combination synchronization of chaotic systems

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>04/2015
<mark>Journal</mark>Nonlinear Dynamics
Issue number1-2
Volume80
Number of pages10
Pages (from-to)845-854
Publication statusPublished
Early online date20/01/15
Original languageEnglish

Abstract

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.

Bibliographic note

The final publication is available at Springer via http://dx.doi.org/10.1007/s11071-015-1910-y