PMID: 11909231Mar 23, 2002Paper

Synchronization of chaotic systems with different order

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ricardo Femat, Gualberto Solís-Perales

Abstract

The chaotic synchronization of third-order systems and second-order driven oscillator is studied in this paper. Such a problem is related to synchronization of strictly different chaotic systems. We show that dynamical evolution of second-order driven oscillators can be synchronized with the canonical projection of a third-order chaotic system. In this sense, it is said that synchronization is achieved in reduced order. Duffing equation is chosen as slave system whereas Chua oscillator is defined as master system. The synchronization scheme has nonlinear feedback structure. The reduced-order synchronization is attained in a practical sense, i.e., the difference e=x(3)-x(1)(') is close to zero for all time t> or =t(0)> or =0, where t(0) denotes the time of the control activation.

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Citations

Jul 24, 2014·ISA Transactions·Carlos Aguilar-IbánezMiguel S Suarez-Castanon
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luis Antonio AguirreLeonardo A B Tôrres
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yao-Chen HungChin-Kun Hu
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dongchuan Yu, Ulrich Parlitz
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mattia FrascaLuigi Fortuna
Jan 20, 2018·Physical Review. E·Patrick LouodopHilda A Cerdeira
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Maoyin Chen, Jürgen Kurths

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