The control of chaos: theory and applications
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 …
system, in order to realize a desirable (chaotic, periodic, or stationary) behavior. We review …
Pattern formation and competition in nonlinear optics
Pattern formation and competition occur in a nonlinear extended medium if dissipation
allows for attracting sets, independently of initial and boundary conditions. This intrinsic …
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 …
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 …
understanding complex phenomena. The emphasis is on the interpretation of the equations …
Nonlinear chemical dynamics: oscillations, patterns, and chaos
Chemical reactions with nonlinear kinetic behavior can give rise to a remarkable set of
spatiotemporal phenomena. These include periodic and chaotic changes in concentration …
spatiotemporal phenomena. These include periodic and chaotic changes in concentration …
Controlling chaos in the Belousov—Zhabotinsky reaction
DETERMINISTIC chaos is characterized by long-term unpredictability arising from an
extreme sensitivity to initial conditions. Such behaviour may be undesirable, particularly for …
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 …
control technique that allows one to stabilize unstable periodic orbits of a strange attractor …
Controlling chaotic dynamical systems
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 …
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 …
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 …
with periods up to 23 drive cycles long. The method used is a modification of that of Ott …