Statistics and dimension of chaos in delayed-feedback systems

M. LE BERRE; E. RESSAYRE; A. TALLET

International Quantum Electronics Conference
OSA Technical Digest (Optica Publishing Group, 1987),
paper THFF1

Statistics and dimension of chaos in delayed-feedback systems

M. LE BERRE, E. RESSAYRE, and A. TALLET

International Quantum Electronics Conference 1987

Baltimore, Maryland United States
26 April–1 May 1987
ISBN: 0-936659-51-3

From the session
Chaos and Optical Bistability: 2 (THFF)

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
M. LE BERRE, E. RESSAYRE, and A. TALLET, "Statistics and dimension of chaos in delayed-feedback systems," in International Quantum Electronics Conference, T. Hansch, D. Grischkowsky, D. Pritchard, and C. Shank, eds., Vol. 21 of OSA Technical Digest (Optica Publishing Group, 1987), paper THFF1.

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Save article

Abstract

The chaotic solutions of an equation such as $\frac{d x}{d t} + X (t) = k f [x (t - τ_{R})],$ (1) where kf is the linear delayed feedback with delay τ_R and strength k, are studied with both random signal theory (statistics) and deterministic chaos (entropy and Lyapunov dimension).

PDF Article

More Like This

Chaotic attractors of the delay-differential ring-cavity equations

M. Le Berre, E. Ressayre, A. Tallet, and Hyatt M. Gibbs
FW5 OSA Annual Meeting (FIO) 1985

Statistics of chaos in delay-differential and difference equations

M. LEBERRE, E. RESSAYRE, A. TALLET, and Y. POMEAU
THLL6 International Quantum Electronics Conference (IQEC) 1986

High-dimension chaotic attractors of passive systems with delayed feedback

A. TALLET, M. LeBERRE, E. RESSAYRE, and HYATT M. GIBBS
MII2 International Quantum Electronics Conference (IQEC) 1986

Previous Article Next Article