The control of chaos: theory and applications

S Boccaletti, C Grebogi, YC Lai, H Mancini, D Maza - Physics reports, 2000 - Elsevier
Control of chaos refers to a process wherein a tiny perturbation is applied to a chaotic
system, in order to realize a desirable (chaotic, periodic, or stationary) behavior. We review …

Pattern formation and competition in nonlinear optics

FT Arecchi, S Boccaletti, PL Ramazza - Physics Reports, 1999 - Elsevier
Pattern formation and competition occur in a nonlinear extended medium if dissipation
allows for attracting sets, independently of initial and boundary conditions. This intrinsic …

[책][B] An introduction to nonlinear chemical dynamics: oscillations, waves, patterns, and chaos

IR Epstein, JA Pojman - 1998 - books.google.com
Just a few decades ago, chemical oscillations were thought to be exotic reactions of only
theoretical interest. Now known to govern an array of physical and biological processes …

[책][B] Applied chaos theory: A paradigm for complexity

AB Cambel - 1993 - books.google.com
This book differs from others on Chaos Theory in that it focuses on its applications for
understanding complex phenomena. The emphasis is on the interpretation of the equations …

Nonlinear chemical dynamics: oscillations, patterns, and chaos

IR Epstein, K Showalter - The Journal of Physical Chemistry, 1996 - ACS Publications
Chemical reactions with nonlinear kinetic behavior can give rise to a remarkable set of
spatiotemporal phenomena. These include periodic and chaotic changes in concentration …

Controlling chaos in the Belousov—Zhabotinsky reaction

V Petrov, V Gaspar, J Masere, K Showalter - Nature, 1993 - nature.com
DETERMINISTIC chaos is characterized by long-term unpredictability arising from an
extreme sensitivity to initial conditions. Such behaviour may be undesirable, particularly for …

Control of chaos via extended delay feedback

K Pyragas - Physics letters A, 1995 - Elsevier
We present a linear analysis for a recently proposed modification of the delay feedback
control technique that allows one to stabilize unstable periodic orbits of a strange attractor …

Controlling chaotic dynamical systems

FJ Romeiras, C Grebogi, E Ott… - Physica D: Nonlinear …, 1992 - Elsevier
We describe a method that converts the motion on a chaotic attractor to a desired attracting
time periodic motion by making only small time dependent perturbations of a control …

Dynamical control of a chaotic laser: Experimental stabilization of a globally coupled system

R Roy, TW Murphy Jr, TD Maier, Z Gills, ER Hunt - Physical Review Letters, 1992 - APS
A multimode, autonomously chaotic solid-state laser system has been controlled by the
technique of occassional proportional feedback, related to the control scheme of Ott …

Stabilizing high-period orbits in a chaotic system: The diode resonator

ER Hunt - Physical Review Letters, 1991 - APS
The chaotic dynamics found in the diode resonator has been converted into stable orbits
with periods up to 23 drive cycles long. The method used is a modification of that of Ott …