Hidden attractors in dynamical systems
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …
engineering applications typically have many coexisting attractors. This property of the …
Extreme events in dynamical systems and random walkers: A review
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …
contexts ranging from climate to brain. An observable that deviates significantly from its long …
Amplitude death: The emergence of stationarity in coupled nonlinear systems
G Saxena, A Prasad, R Ramaswamy - Physics Reports, 2012 - Elsevier
When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and
the manner in which the coupling is organized, a host of novel phenomena can arise. In this …
the manner in which the coupling is organized, a host of novel phenomena can arise. In this …
[图书][B] Chaos in nonlinear oscillators: controlling and synchronization
M Lakshmanan, K Murali - 1996 - books.google.com
This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear
oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators …
oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators …
Using small perturbations to control chaos
The extreme sensitivity of chaotic systems to tiny perturbations (the 'butterfly effect') can be
used both to stabilize regular dynamic behaviours and to direct chaotic trajectories rapidly to …
used both to stabilize regular dynamic behaviours and to direct chaotic trajectories rapidly to …
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 …
From chaos to order—perspectives and methodologies in controlling chaotic nonlinear dynamical systems
G Chen, X Dong - International Journal of Bifurcation and Chaos, 1993 - World Scientific
Controlling (or ordering) chaos is a new concept, which has recently drawn much attention
from the communities of engineering, physics, chemistry, biomedical sciences and …
from the communities of engineering, physics, chemistry, biomedical sciences and …
On adaptive synchronization and control of nonlinear dynamical systems
In this paper, we study the synchronization of two coupled nonlinear, in particular chaotic,
systems which are not identical. We show how adaptive controllers can be used to adjust the …
systems which are not identical. We show how adaptive controllers can be used to adjust the …
Statistics, probability and chaos
LM Berliner - Statistical Science, 1992 - JSTOR
The study of chaotic behavior has received substantial attention in many disciplines.
Although often based on deterministic models, chaos is associated with complex," random" …
Although often based on deterministic models, chaos is associated with complex," random" …
Controlling chaos in distributed systems
T Hogg, BA Huberman - IEEE transactions on Systems, Man …, 1991 - ieeexplore.ieee.org
A simple and robust procedure for freezing out chaotic behavior in systems composed of
interacting agents making decisions based on imperfect and delayed information is …
interacting agents making decisions based on imperfect and delayed information is …