Controlling Unstable Discrete Chaos and Hyperchaos Systems - Applied Mathematics

AM > Vol.4 No.11, November 2013

Applied Mathematics

Volume 4, Issue 11 (November 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Controlling Unstable Discrete Chaos and Hyperchaos Systems ()

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DOI: 10.4236/am.2013.411A2001 4,038 Downloads 5,900 Views Citations

Author(s)

Xin Li, Suping Qian

Affiliation(s)

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

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

Share and Cite:

X. Li and S. Qian, "Controlling Unstable Discrete Chaos and Hyperchaos Systems," Applied Mathematics, Vol. 4 No. 11B, 2013, pp. 1-6. doi: 10.4236/am.2013.411A2001.

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