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© Centre for Modeling & Simulation, Savitribai Phule Pune University
| 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 | |
| Download | [228K pdf] |
| 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 |
| Supplementary Material |