We investigate quasiperiodic travelling waves (QTWs) in lattices of diffusively coupled logistic maps. Starting from the assumption that any spatial structure can be broken down into simpler elementary structures, a classification scheme for QTWs is introduced. Within this framework. the phenomenon of discrete velocities is reviewed and further investigated. In addition, a new technique is proposed for predicting whether QTWs can occur for given parameter values and which they might be.
On quasiperiodic travelling waves in coupled map lattices / Franceschini, Valter; Giberti, Claudio; Vernia, Cecilia. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - STAMPA. - 164:1-2(2002), pp. 28-44. [10.1016/S0167-2789(02)00352-4]
On quasiperiodic travelling waves in coupled map lattices
FRANCESCHINI, Valter;GIBERTI, Claudio;VERNIA, Cecilia
2002
Abstract
We investigate quasiperiodic travelling waves (QTWs) in lattices of diffusively coupled logistic maps. Starting from the assumption that any spatial structure can be broken down into simpler elementary structures, a classification scheme for QTWs is introduced. Within this framework. the phenomenon of discrete velocities is reviewed and further investigated. In addition, a new technique is proposed for predicting whether QTWs can occur for given parameter values and which they might be.
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