PARAMETRIC FEEDBACK RESONANCE IN CHAOTIC SYSTEMS

Citation
Hg. Schuster et al., PARAMETRIC FEEDBACK RESONANCE IN CHAOTIC SYSTEMS, Physical review letters, 76(3), 1996, pp. 400-403
Citations number
12
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
76
Issue
3
Year of publication
1996
Pages
400 - 403
Database
ISI
SICI code
0031-9007(1996)76:3<400:PFRICS>2.0.ZU;2-M
Abstract
If one changes the control parameter of a chaotic system proportionall y to the distance between an arbitrary point on the strange attractor and the actual trajectory, the lifetime tau of the most stable unstabl e periodic orbit in the vicinity of this point starts to diverge with a power law. The volume in parameter space where tau becomes infinite is finite and from its nonfractal boundaries one can determine directl y the local Liapunov exponents. The experimental applicability of the method is demonstrated for two coupled diode resonators.