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Entropy 2018, 20(5), 322; https://doi.org/10.3390/e20050322

A New Two-Dimensional Map with Hidden Attractors

Electronic Engineering College, Heilongjiang University, Harbin 150080, China
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Received: 31 January 2018 / Revised: 21 March 2018 / Accepted: 24 April 2018 / Published: 27 April 2018
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Abstract

The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are a few investigations of hidden attractors in discrete-time dynamic systems. The classical chaotic attractors of the Logistic map, Tent map, Henon map, Arnold’s cat map, and other widely-known chaotic attractors are those excited from unstable fixed points. In this paper, the hidden dynamics of a new two-dimensional map inspired by Arnold’s cat map is investigated, and the existence of fixed points and their stabilities are studied in detail. View Full-Text
Keywords: hidden attractors; fixed point; stability hidden attractors; fixed point; stability
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Wang, C.; Ding, Q. A New Two-Dimensional Map with Hidden Attractors. Entropy 2018, 20, 322.

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