Journal article
Synchronization of coupled chaotic maps
Physica. D, v 304
01 Jun 2015
Abstract
We prove a sufficient condition for synchronization for coupled one-dimensional maps and estimate the size of the window of parameters where synchronization takes place. It is shown that coupled systems on graphs with positive eigenvalues of the normalized graph Laplacian concentrated around 1 are more amenable for synchronization. In the light of this condition, we review spectral properties of Cayley, quasirandom, power-law graphs, and expanders and relate them to synchronization of the corresponding networks. The analysis of synchronization on these graphs is illustrated with numerical experiments. The results of this paper highlight the advantages of random connectivity for synchronization of coupled chaotic dynamical systems. (C) 2015 Elsevier B.V. All rights reserved.
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Details
- Title
- Synchronization of coupled chaotic maps
- Creators
- Georgi S. Medvedev - Drexel UniversityXuezhi Tang - Drexel University
- Publication Details
- Physica. D, v 304
- Publisher
- Elsevier
- Number of pages
- 10
- Grant note
- DMS 1109367; DMS 1412066 / National Science Foundation; National Science Foundation (NSF) 1412066 / Division Of Mathematical Sciences; National Science Foundation (NSF); NSF - Directorate for Mathematical & Physical Sciences (MPS)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000357143000004
- Scopus ID
- 2-s2.0-84930207803
- Other Identifier
- 991019170367304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied
- Physics, Fluids & Plasmas
- Physics, Mathematical
- Physics, Multidisciplinary