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Technical Report CMS-TR-20070518


Title Power-Law Persistence Characterizes Traveling Waves in Coupled Circle Maps with Repulsive Coupling
Author/s Prashant M. Gade
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India


D. V. Senthilkumar
Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirapalli, India


Sukratu Barve
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India


Sudeshna Sinha
The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600 113, India
Abstract We study persistence in coupled circle maps with repulsive (inhibitory) coupling, and find that it offers an effective way to characterize the synchronous, travelling wave and spatiotemporally chaotic states of the system. In the travelling wave state, persistence decays as a power law and, in contrast to earlier observations in dynamical systems, this power-law scaling does not occur at the transition point alone, but over the entire dynamical phase (with the same exponent). We give a cellular automata model displaying the qualitative features of the travelling wave regime, and provide an argument based on the theory of Motzkin numbers in combinatorics to explain the observed scaling.
Keywords
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Citing This Document Prashant M. Gade, D. V. Senthilkumar, Sukratu Barve, and Sudeshna Sinha , Power-Law Persistence Characterizes Traveling Waves in Coupled Circle Maps with Repulsive Coupling . Technical Report CMS-TR-20070518 of the Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India (2007); available at http://cms.unipune.ac.in/reports/.
Notes, Published Reference, Etc. Accepted for Publication in Physical Review E.
Contact gade AT cms.unipune.ac.in
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