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Affine-periodic solutions for discrete dynamical systems
Authors:Xin Meng and Yong Li
Abstract:The paper concerns the existence of affine-periodic solutions for discrete dynamicalsystems. This kind of solutions might be periodic, harmonic, quasi-periodic, even non-periodic.We prove the existence of affine-periodic solutions for discrete dynamical systems by using thetheory of Brouwer degree. As applications, another existence theorem is given via Lyapnovfunction.
Keywords:Discrete dynamical systems   affine-periodic solutions   brouwer degree
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