PMID: 15244707Jul 13, 2004Paper

Pattern formation in diffusive-advective coupled map lattices

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Pedro G LindJason A C Gallas

Abstract

We investigate pattern formation and evolution in coupled map lattices when advection is incorporated, in addition to the usual diffusive term. All patterns may be suitably grouped into five classes: three periodic, supporting static patterns and traveling waves, and two nonperiodic. Relative frequencies are determined as a function of all model parameters: diffusion, advection, local nonlinearity, and lattice size. Advection plays an important role in coupled map lattices, being capable of considerably altering pattern evolution. For instance, advection may induce synchronization, making chaotic patterns evolve periodically. As a byproduct we describe a practical algorithm for classifying generic pattern evolutions and for measuring velocities of traveling waves.

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Citations

Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paulo Cesar RechJason A C Gallas
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Serhiy Yanchuk, Matthias Wolfrum
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P PerlikowskiP A Tass
Jun 15, 2016·Physical Review. E·Juan Carlos González-Avella, Celia Anteneodo
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S E de S PintoR L Viana
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pedro G LindHans J Herrmann
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G KevrekidisC Daraio

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