Acta Physica Sinica · 2003 · 25 citations · 0 references
Natural SciencesMathematicsBiological ControlDynamical SystemsSystem DynamicsControl Of Dynamical SystemsControl TheoryDiscrete Dynamical SystemsNonlinear ControlNonlinear DynamicsPeriodic OrbitsBifurcationBifurcation Of Periodic OrbitsChaotic AttractorsDiscrete Nonlinear SystemsNonlinear Dynamical SystemsPeriod-doubling BifurcationState VariablesUnstable Periodic Orbits
In this paper, the control of delaying period-doubling bifurcations and unstable periodic orbits embedded in a chaotic attractor of a discrete nonlinear dynamical system is effectively realized by using the state variables feedback and parameter variation. Moreover, the 2n periodic orbits of the system can be controlled into the 2m (m<n) periodic orbits by the methods proposed.