3-periodic traveling wave solutions for a dynamical coupled map lattice
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In this paper, the existence of periodic traveling wave solutions with a priori unknown velocity is considered for a coupled map lattice dynamical system. By trasforming our problem into one that involves polynomials, explicit 2- and 3-periodic traveling wave solutions are found, while the other solutions can be computed numerically. Since there does not seem to be any reports on explicit traveling wave solutions, we hope that our results will lead to the discovery of many others.
KeywordsCML Traveling wave Periodic solution Polynomial
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- 1.Crutchfield, J.P., Kaneko, K.: Phenomenology of spatio-temporal chaos. In: Directions in Chaos, vol. 1, pp. 272–353. World Sci. Ser. Dir. Condens. Matter Phys., vol. 3. World Scientific, Singapore (1987)Google Scholar