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Technical Report CMS-TR-20051213


Title Scaling and Universality in Transition to Synchronous Chaos with Local-Global Interactions
Author/s Prashant M. Gade
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India


Chin-Kun Hu
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan
Abstract We study the coupled-map lattice model with both local and global couplings. We find necessary conditions for observing synchronous chaos and investigate the transition to synchronization as a dynamic phase transition. We discover that this transition, if continuous, shows scaling and universal behavior with the dynamic exponent z=2. We also define and illustrate an interesting quantity similar to persistence at critical point.
Keywords
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Citing This Document Prashant M. Gade, and Chin-Kun Hu , Scaling and Universality in Transition to Synchronous Chaos with Local-Global Interactions . Technical Report CMS-TR-20051213 of the Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India (2005); available at http://cms.unipune.ac.in/reports/.
Notes, Published Reference, Etc. Published as Physical Review E 73, 036212 (2006)
Contact gade AT cms.unipune.ac.in
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