Global Synchronization & Anti-Synchronization in N-Coupled Map Lattices

By considering a symmetric N-dimensional map which possesses invariant measure in its diagonal and anti-diagonal invariant sub-manifolds, we have been able to propose an N-coupled map which possesses invariant measure in synchronized or anti-synchronized states. Then chaotic synchronization and anti...

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Bibliographic Details
Published in:International journal of theoretical physics 2008-04, Vol.47 (4), p.1005-1015
Main Authors: Jafarizadeh, M. A., Behnia, S., Faizi, E., Ahadpour, S.
Format: Article
Language:English
Subjects:
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary:By considering a symmetric N-dimensional map which possesses invariant measure in its diagonal and anti-diagonal invariant sub-manifolds, we have been able to propose an N-coupled map which possesses invariant measure in synchronized or anti-synchronized states. Then chaotic synchronization and anti-synchronization are investigated in the introduced model. We have calculated Kolmogrov–Sinai entropy and Lyapunov exponent as another tool to study the stability of N-coupled map in synchronized and anti-synchronization states.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-007-9527-7