Journal ArticleDOI
Mean field fluctuation of a network of chaotic elements: Remaining fluctuation and correlation in the large size limit
TLDR
Fluctuation of the mean field is studied for a network of chaotic elements with the use of globally coupled maps as the size of the chaotic elements increases as discussed by the authors, where the remaining variance is roughly proportional to 1Nc.About:
This article is published in Physica D: Nonlinear Phenomena.The article was published on 1992-03-01. It has received 107 citations till now. The article focuses on the topics: Central limit theorem & Law of large numbers.read more
Citations
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Journal ArticleDOI
The synchronization of chaotic systems
TL;DR: Synchronization of chaos refers to a process where two chaotic systems adjust a given property of their motion to a common behavior due to a coupling or to a forcing (periodical or noisy) as discussed by the authors.
Journal ArticleDOI
Chaotic simulated annealing by a neural network model with transient chaos
Luonan Chen,Kazuyuki Aihara +1 more
TL;DR: In this article, a transiently chaotic neural network (TCNN) model is proposed for combinatorial optimization problems, where the chaotic neurodynamics is temporarily generated for searching and self-organizing, and eventually vanishes with autonomous decrease of a bifurcation parameter corresponding to the temperature in the usual annealing process.
Journal ArticleDOI
Connection Graph Stability Method for Synchronized Coupled Chaotic Systems
TL;DR: This paper elucidates the relation between network dynamics and graph theory and proposes a new general method to determine global stability of total synchronization in networks with different topologies that combines the Lyapunov function approach with graph theoretical reasoning.
Journal ArticleDOI
Dynamics of the brain at global and microscopic scales: neural networks and the EEG
TL;DR: It is argued that the wavelike processes revealed in the EEG exhibit linear and near-equilibrium dynamics at macroscopic scale, despite extremely nonlinear – probably chaotic – dynamics at microscopic scale.
Journal ArticleDOI
Pollen Coupling of Forest Trees: Forming Synchronized and Periodic Reproduction out of Chaos
Akiko Satake,Yoh Iwasa +1 more
TL;DR: A globally coupled map model in which trees accumulate photosynthate every year, produce flowers when the energy reserve level exceeds a threshold, and set seeds and fruits at a rate limited by pollen availability is analysed.
References
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Book ChapterDOI
The Ergodic Theory of Axiom A Flows.
Rufus Bowen,David Ruelle +1 more
TL;DR: In this article, the Whitney sum of three (Tf t )-invariant continuous subbundles of a Riemann manifold is used to define hyperbolic tangent bundles.
Journal ArticleDOI
Strange Attractors, Chaotic Behavior, and Information Flow
TL;DR: In this article, it is argued that a physical implementation of such equations is capable of acting as an information source, bringing into the macroscopic variables information not implicit in initial conditions.
Journal ArticleDOI
Pattern dynamics in spatiotemporal chaos: Pattern selection, diffusion of defect and pattern competition intermettency
Kunihiko Kaneko,Kunihiko Kaneko +1 more
TL;DR: In this article, a class of coupled map lattices is investigated as a model for the spatiotemporal chaos, and pattern selection through the chaotic motion of domain is observed, where localized defects which separate the two anti-phase domains are found.
Journal ArticleDOI
Spatiotemporal Intermittency in Coupled Map Lattices
TL;DR: Les regions explosives et laminaires forment une structure geometrique dans l'espace-temps, analogue a celle trouvee dans des automates cellulaires as mentioned in this paper.