Open AccessGeneralization of mode decomposition approach to studies of the synchronization of non-identical coupled dynamical systems
Author(s) -
Lijun Pei,
Benhua Qiu
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.164
Subject(s) - attractor , synchronization (alternating current) , generalization , dynamical systems theory , stability (learning theory) , coupling (piping) , decomposition , physics , mode (computer interface) , topology (electrical circuits) , statistical physics , mathematical analysis , computer science , mathematics , quantum mechanics , combinatorics , materials science , ecology , machine learning , metallurgy , biology , operating system
In this paper the mode decomposition approach in the studies of the synchronization of the coupled dynamical systems is generalized to the case of the coupled non-identical dynamical systems by changing the coupling function. The synchronization of the non-identical periodic and quasi-periodic attractor systems is considered detailedly and the conditions for their local synchronization stability are obtained in this paper. The numerical simulation is performed and it was found that the dynamical behaviors of the synchronization are rich. The behaviors include stable synchronized periodic and quasi-periodic solutions in the coupled non-identical quasi-periodic attractor systemsand several stable synchronized periodic solutions in the coupled non-identical periodic attractors where the new stable synchronized periodic solutions are born due to the couplingand their attraction basins differe greatlyi.e.in both of them the multiplicity of the synchronization appears. At the same time the validity of the mode decomposition is also verified.