SMOOTH TRIANGULAR MAPS OF TYPE 2∞ WITH POSITIVE TOPOLOGICAL ENTROPY-Reference-Cited by-同舟云学术

SMOOTH TRIANGULAR MAPS OF TYPE 2∞ WITH POSITIVE TOPOLOGICAL ENTROPY

Published:1995-10 Issue:05 Volume:05 Page:1319-1324
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

BALIBREA FRANCISCO¹,ESQUEMBRE FRANCISCO¹,LINERO ANTONIO¹

Affiliation:

1. Universidad de Murcia, Spain

Abstract

We explicitly construct for any k in ℕ a [Formula: see text]-differentiable triangular map in the square I2 with the following properties: (a) it has periodic orbits of period 2n for any n and no other periodic orbits, (b) the topological entropy is positive, and (c) the set of recurrent points contains properly the set of uniformly recurrent points.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127495000983

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On problems of Topological Dynamics in non-autonomous discrete systems;Applied Mathematics and Nonlinear Sciences;2016-07-01

2. RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES;International Journal of Bifurcation and Chaos;2010-09

3. Nonwandering set of points of skew-product maps with base having closed set of periodic points;Journal of Mathematical Analysis and Applications;2010-02

4. Asymptotical periodicity for analytic triangular maps of type less than 2∞;Journal of Mathematical Analysis and Applications;2010-01

5. On skew-product maps with the base having a closed set of periodic points;International Journal of Computer Mathematics;2008-04