Open AccessAFFINE-PERIODIC SOLUTIONS FOR DISCRETE DYNAMICAL SYSTEMS
Author(s) -
Xin Meng,
Yong Li
Publication year - 2015
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2015059
Subject(s) - dynamical systems theory , mathematics , affine transformation , pure mathematics , periodic function , mathematical analysis , physics , quantum mechanics
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.
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