Synchronizing chaotic systems based on an arbitrary function matrix | Zendy

Lixiong Lin | Zendy; Xiafu Peng | Zendy

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Synchronizing chaotic systems based on an arbitrary function matrix

Author(s) -

Lixiong Lin,

Xiafu Peng

Publication year - 2014

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.63.080504

Subject(s) - synchronizing , chaotic , computer science , synchronization (alternating current) , lorenz system , chaotic systems , control theory (sociology) , matrix (chemical analysis) , function (biology) , scheme (mathematics) , synchronization of chaos , state (computer science) , algorithm , mathematics , control (management) , mathematical analysis , artificial intelligence , telecommunications , computer network , channel (broadcasting) , transmission (telecommunications) , materials science , evolutionary biology , composite material , biology

In this paper, we introduce a type of chaotic synchronization, where two chaotic systems are synchronized based on a function matrix. In particular, each drive system state synchronizes with a certain combination of response system states. Based on linear system theory and the pole placement technique, the scheme is given and illustrated with hyperchaotic Lorenz system and Lorenz chaotic system. Numerical simulations are carried out to verify the effectiveness of the proposed scheme.

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