2018•EntropyOpen access

A New Two-Dimensional Map with Hidden Attractors

Chuanfu Wang, Qun Ding

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.

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 47 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Attractor, Logistic map, Chaotic, Hénon map, Tent map, Fixed point, Mathematics, Statistical physics