AFFINE-PERIODIC SOLUTIONS FOR DISCRETE DYNAMICAL SYSTEMS

Xin Meng; Yong Li

doi:10.11948/2015059

2015 Volume 5 Issue 4

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Xin Meng, Yong Li. AFFINE-PERIODIC SOLUTIONS FOR DISCRETE DYNAMICAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 781-792. doi: 10.11948/2015059

Citation:

Xin Meng, Yong Li. AFFINE-PERIODIC SOLUTIONS FOR DISCRETE DYNAMICAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 781-792. doi: 10.11948/2015059

AFFINE-PERIODIC SOLUTIONS FOR DISCRETE DYNAMICAL SYSTEMS

Xin Meng^1,2,
Yong Li^3,4

1 College of Mathematics, Jilin University, 130012 Changchun, P. R. China;
2 College of Mathematics, Jilin Normal University, 136000 Siping, P. R. China;
3 School of Mathematics and Statistics, Northeast Normal University, 130021 Changchun, P. R. China;
4 Center for Mathematics and Interdisciplinary Science, Northeast Normal University, 130021 Changchun, P. R. China

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Abstract

Abstract

The paper concerns the existence of affine-periodic solutions for discrete dynamical systems. This kind of solutions might be periodic, harmonic, quasi-periodic, even non-periodic. We prove the existence of affineperiodic solutions for discrete dynamical systems by using the theory of Brouwer degree. As applications, another existence theorem is given via Lyapnov function.
- Discrete dynamical systems /
- affine-periodic solutions /
- Brouwer degree
MSC: 37J45;39A11;47H11

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References

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