An “Observable” horseshoe map
Copyright policy )An “Observable” horseshoe map
In this article, a family of diffeomorphisms with growing horseshoes contained in global attracting regions is presented, where the dimension of the unstable direction can be any fixed integer and a growing horseshoe means that the number of the folds of the horseshoe is increasing as a parameter is varied. Moreover, it is demonstrated that the horseshoe-like attractors are observable for certain parameters.
- City University of Hong Kong China (People's Republic of)
- Shandong Women’s University China (People's Republic of)
Dynamical systems involving smooth mappings and diffeomorphisms, Attractors and repellers of smooth dynamical systems and their topological structure, Computational methods for attractors of dynamical systems
Dynamical systems involving smooth mappings and diffeomorphisms, Attractors and repellers of smooth dynamical systems and their topological structure, Computational methods for attractors of dynamical systems
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