International Journal of Bifurcation and Chaos · 1994 · 87 citations · 0 references
Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsStochastic ProcessesChaos TheoryDiffusion ProcessesDissipative SystemsNonlinear DynamicsNonlinear Wave DynamicsStochastic Differential EquationsBernoulli EquationChaos In Dynamical SystemsChaotic DynamicsChaotic MapsDiffusion EquationNonlinear DiffusionStability Of Traveling Waves
An infinite set of stationary traveling waves are found in a discrete analog of the nonlinear diffusion Huxley equation. Their profiles are determined by the trajectories of Bernoulli scheme containing two symbols. It is proved that these waves are stable with respect to perturbations moving with the same speed. Thus it is shown that chaos of traveling waves is realized in this system.