Controlling unstable periodic orbits by a delayed continuous feedback
- 1 February 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (2) , R971-R974
- https://doi.org/10.1103/physreve.49.r971
Abstract
A method is presented for stabilizing unstable periodic orbits of a dynamical system by applying continuous feedback on a control parameter. The feedback signal is proportional to the difference between two values of a dynamical variable, separated by a time equal to the unstable orbit periodicity. This method has been checked numerically and experimentally on the control of the unstable orbits of a laser with modulated losses.
Keywords
This publication has 15 references indexed in Scilit:
- Using small perturbations to control chaosNature, 1993
- Communicating with chaosPhysical Review Letters, 1993
- Stabilization and characterization of unstable steady states in a laserPhysical Review A, 1993
- Experimental characterization of unstable periodic orbits by controlling chaosPhysical Review A, 1993
- Stabilization of unstable stationary states in optical bistabilityPhysical Review A, 1993
- Tracking unstable orbits in an experimentPhysical Review A, 1992
- Dynamical control of a chaotic laser: Experimental stabilization of a globally coupled systemPhysical Review Letters, 1992
- Controlling chaos to generate aperiodic orbitsPhysical Review A, 1991
- Using chaos to direct trajectories to targetsPhysical Review Letters, 1990
- Controlling chaosPhysical Review Letters, 1990