Controlling Unstable Discrete Chaos and Hyperchaos Systems

Xin Li, Suping Qian

School of Mathematics and Statistics, Changshu Institute of Technology, Changshu, China.

DOI: 10.4236/am.2013.411A2001                

Abstract

A method is introduced to stabilize unstable discrete systems, which does not require any adjustable control parameters of the system. 2-dimension discrete Fold system and 3-dimension discrete hyperchaotic system are stabilized to fixed points respectively. Numerical simulations are then provided to show the effectiveness and feasibility of the proposed chaos and hyperchaos controlling scheme.

Keywords

2-Dimension Discrete Fold System; 3-Dimension Discrete Hyperchaotic System; Lyapunov Stability Theory; Controlling Chaos

Conflicts of Interest

The authors declare no conflicts of interest.

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