STABILIZING UNSTABLE PERIODIC-ORBITS IN FAST DYNAMICAL-SYSTEMS

Authors
SOCOLAR JES SUKOW DW GAUTHIER DJ
Citation
Jes. Socolar et al., STABILIZING UNSTABLE PERIODIC-ORBITS IN FAST DYNAMICAL-SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(4), 1994, pp. 3245-3248
Citations number
30
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
50
Issue
4
Year of publication
1994
Pages
3245 - 3248
Database
ISI
SICI code
1063-651X(1994)50:4<3245:SUPIFD>2.0.ZU;2-N
Abstract
We present a technique for stabilizing unstable periodic orbits in low -dimensional dynamical systems that allows for control over a large do main of parameters. The technique uses a continuous feedback loop inco rporating information from many previous states of the system in a for m closely related to the amplitude of Light reflected from a Fabry-Per ot interferometer. We demonstrate that the approach is well suited for practical implementation in fast systems by stabilizing a chaotic dio de resonator driven at 10.1 MHz.