TITLE:
Controlling Unstable Discrete Chaos and Hyperchaos Systems
AUTHORS:
Xin Li, Suping Qian
KEYWORDS:
2-Dimension Discrete Fold System; 3-Dimension Discrete Hyperchaotic System; Lyapunov Stability Theory; Controlling Chaos
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.11B,
November
7,
2013
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.