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 …

[HTML][HTML] Is there chaos in the brain? II. Experimental evidence and related models

H Korn, P Faure - Comptes rendus biologies, 2003 - Elsevier
The search for chaotic patterns has occupied numerous investigators in neuroscience, as in
many other fields of science. Their results and main conclusions are reviewed in the light of …

Coherence resonance in a noise-driven excitable system

AS Pikovsky, J Kurths - Physical Review Letters, 1997 - APS
We study the dynamics of the excitable Fitz Hugh–Nagumo system under external noisy
driving. Noise activates the system producing a sequence of pulses. The coherence of these …

[图书][B] Synchronization in oscillatory networks

GV Osipov, J Kurths, C Zhou - 2007 - books.google.com
This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

[图书][B] Dynamical systems approach to turbulence

T Bohr, MH Jensen, G Paladin, A Vulpiani - 1998 - ui.adsabs.harvard.edu
Introduction; 1. Turbulence and dynamical systems; 2. Phenomenology of turbulence; 3.
Reduced models for hydrodynamic turbulence; 4. Turbulence and coupled map lattices; 5 …

Control of chaos: Methods and applications in engineering

AL Fradkov, RJ Evans - Annual reviews in control, 2005 - Elsevier
A survey of the emerging field termed “control of chaos” is given. Several major branches of
research are discussed in detail: feedforward or “nonfeedback control”(based on periodic …

Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems

I Tsuda - Behavioral and Brain Sciences, 2001 - cambridge.org
Using the concepts of chaotic dynamical systems, we present an interpretation of dynamic
neural activity found in cortical and subcortical areas. The discovery of chaotic itinerancy in …

[图书][B] Complex Systems: Chaos and Beyond: Chaos and Beyond: A Constructive Approach with Applications in Life Sciences

K Kaneko, I Tsuda - 2001 - books.google.com
Chaos in science has always been a fascinating realm since it challenges the usual
scientific approach of reductionism. While carefully distinguishing between complexity …

Predictability: a way to characterize complexity

G Boffetta, M Cencini, M Falcioni, A Vulpiani - Physics reports, 2002 - Elsevier
Different aspects of the predictability problem in dynamical systems are reviewed. The deep
relation among Lyapunov exponents, Kolmogorov–Sinai entropy, Shannon entropy and …

[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 …