The synchronization of chaotic systems

S Boccaletti, J Kurths, G Osipov, DL Valladares… - Physics reports, 2002 - Elsevier
Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …

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 …

[图书][B] Cybernetical physics: from control of chaos to quantum control

A Fradkov - 2007 - books.google.com
In this book a number of ideas and results related to the? eld of cybern-ical physics–the
scienti? c area aimed at the study of physical systems by cybernetical means–are presented …

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 …

[图书][B] Nonlinear spatio-temporal dynamics and chaos in semiconductors

E Schöll - 2001 - books.google.com
Nonlinear transport phenomena are an increasingly important aspect of modern
semiconductor research. This volume deals with complex nonlinear dynamics, pattern …

Delay Fokker-Planck equations, Novikov's theorem, and Boltzmann distributions as small delay approximations

TD Frank - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
We study time-delayed stochastic systems that can be described by means of so-called
delay Fokker-Planck equations. Using Novikov's theorem, we first show that the theory of …

Delay Fokker-Planck equations, perturbation theory, and data analysis for nonlinear stochastic systems with time delays

TD Frank - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
We study nonlinear stochastic systems with time-delayed feedback using the concept of
delay Fokker-Planck equations introduced by Guillouzic, L'Heureux, and Longtin. We derive …

Pattern formation and synchronism in an allelopathic plankton model with delay in a network

C Tian, S Ruan - SIAM Journal on Applied Dynamical Systems, 2019 - SIAM
A network is introduced to describe the spatiotemporal dynamics of two-species competitive
and allelopathic plankton models, where the network structure represents the movement …

Pattern formation in a surface chemical reaction with global delayed feedback

M Bertram, AS Mikhailov - Physical Review E, 2001 - APS
We consider effects of global delayed feedback on anharmonic oscillations in the reaction-
diffusion model of the CO oxidation reaction on a Pt (110) single-crystal surface. Depending …

The control of chaos: theoretical schemes and experimental realizations

FT Arecchi, S Boccaletti, M Ciofini… - … Journal of Bifurcation …, 1998 - World Scientific
Controlling chaos is a process wherein an unstable periodic orbit embedded in a chaotic
attractor is stabilized by means of tiny perturbations of the system. These perturbations imply …