Synchronization and suppression of chaos in non-locally coupled map lattices
R M Szmoski S E De S Pinto M T Van Kan A M Batista R L Viana S R Lopes
Click here to view fulltext PDF
Permanent link:
https://www.ias.ac.in/article/fulltext/pram/073/06/0999-1009
We considered coupled map lattices with long-range interactions to study the spatiotemporal behaviour of spatially extended dynamical systems. Coupled map lattices have been intensively investigated as models to understand many spatiotemporal phenomena observed in extended system, and consequently spatiotemporal chaos. We used the complex order parameter to quantify chaos synchronization for a one-dimensional chain of coupled logistic maps with a coupling strength which varies with the lattice in a power-law fashion. Depending on the range of the interactions, complete chaos synchronization and chaos suppression may be attained. Furthermore, we also calculated the Lyapunov dimension and the transversal distance to the synchronization manifold.
R M Szmoski1 S E De S Pinto1 M T Van Kan2 A M Batista2 R L Viana3 S R Lopes3
Volume 97, 2023
All articles
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode
© 2022-2023 Indian Academy of Sciences, Bengaluru.