Results 261 to 270 of about 3,221,975 (292)

STRANGE ATTRACTORS AND DYNAMICAL MODELS

Journal of Circuits, Systems and Computers, 1993
Three main types of strange attractors are described; namely hyperbolic, Lorenz-type and quasiattractors. In addition, a recent family of quasiattractors originating from Chua's circuit is briefly described. In connection with the strange attractors, we stress that models having quasiattractors containing structurally unstable homoclinic Poincaré ...
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Attractors of dynamical systems

1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329), 2002
The definition of an attractor of a dissipative dynamical system is introduced. Classification of existing types of attractors and analysis of their characteristics are presented. The discussed problems are illustrated by the results of numerical simulation using a number of real examples.
V.S. Anishchenko, G.I. Strelkova
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Trajectory Dynamical Systems and Their Attractors

2018
We start with the definition of Kolmogorov e-entropy, via which we define fractal dimension of the compact set in the metric space. We will use these two concepts in the sequel.
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Symbolic Dynamics for IFS Attractors

Fractals, 1997
It has recently been shown that a modified iterated function system (IFS) is capable of generating closed orbits which undergo bifurcation and transition to a chaotic regime as control parameters are varied.1,2 Here we show that driving such an IFS by a partition of itself creates maps which can be characterized by a symbolic dynamics. Forbidden words
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Strange Attractors in Fluid Dynamics

1984
This is a readable review article on the role of strange attractors in models for turbulence. Table of contents: I. Introduction. II The spherical pendulum. III. Lorenz's convection model. IV. The Howard-Malkus-Welander convection model. V. Mathematical routes to turbulence: A. Bifurcation sequences; B. Landau's model; C. The Ruelle-Takens scenario; D.
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Attractors in Dynamical Systems

2021
Mathematical and physical dissipative systems occur naturally; for example in heat diffusion and viscous fluid flow, some of the kinetic energy dissipates into heat. Due to the presence of wandering sets, in general dissipative systems exhibit complicated dynamics on some part of the domain.
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Homoclinic dynamics in experimental Shil’nikov attractors

Physical Review E, 1996
We report the experimental observation of Shil'nikov-type attractors in the reflection of optothermal nonlinear devices, evidencing homoclinic phenomena associated with a variety of saddle set configurations. Recurrent phase-space operations underlying the homoclinic dynamics are evidenced by analysis of proper Poincar\'e sections.
, Herrero, , Pons, , Farjas, , Pi, , Orriols   +4 more
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Neural attractor dynamics in object recognition

Experimental Brain Research, 2010
A widely held theory dating back to Donald Hebb posits neuronal attractor dynamics to underlie the retrieval of objects from long-term memory and the categorization of ambiguous stimuli, but empirical support for this notion had so far pointed more at self-sustained activity than at attractor dynamics per se.
VALENTINA DAELLI, Treves, Alessandro
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ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS

Stochastics and Dynamics, 2006
We consider a one-dimensional lattice with diffusive nearest neighbor interaction, a dissipative nonlinear reaction term and additive independent white noise at each node. We prove the existence of a compact global random attractor within the set of tempered random bounded sets. An interesting feature of this is that, even though the spatial domain is
Bates, Peter W., Lisei, Hannelore, Lu, Kening   +2 more
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Attractors in Dynamical Systems

1997
The notion of attractor in a dynamical system is an underlying theme throughout this work. In a sense, it is the unifying concept which links the various topics in dynamics which are dealt with in this book.
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