TITLE:
Chaotic Control of Lü System via Three Methods
AUTHORS:
Mingjun Wang
KEYWORDS:
Lü System, Direct Feedback, Adaptive Time-Delayed Feedback, Minimal Energy Method
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.3 No.2,
May
26,
2014
ABSTRACT:
In the paper, several different methods are adopted to control Lü system.
With direct feedback method, Lü system can be stabilized at one equilibrium
point or a limit cycle surrounding its equilibrium. With adaptive time-delayed
feedback method, feedback coefficient and delay time can be adjusted adaptively
to stabilize Lü system at its original unstable periodic orbit. With minimal
energy method, Lü system can also be stabilized at fixed point or limit cycle.
Numerical simulations show the effectiveness of our methods.