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chaotic attractors

by Fengling Han A, Jiankun Hu A, Xinghuo Yu B, Yi Wang A
"... images encryption via multi-scroll ..."
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images encryption via multi-scroll

Practical Stability of Chaotic Attractors

by T Kapitaniak , J Brindley - Chaos, Solitons & Fractals , 1998
"... Abstract--In this paper we introduce the concept of practical stability and practical stability in finite time for chaotic attractors. The connection between practical and asymptotic stability is discussed. ..."
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Abstract--In this paper we introduce the concept of practical stability and practical stability in finite time for chaotic attractors. The connection between practical and asymptotic stability is discussed.

The theory of chaotic attractors

by Brian R Hunt , Judy A Kennedy , Tien-Yien Li , Helena E
"... James Yorke won the 2003 Japan Prize for his work in the field of chaos theory. This book was compiled by four of his best-known collaborators in honor of his 60th birthday and contains papers by various authors on chaos and chaotic attractors. The papers are organized around the topics of "na ..."
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James Yorke won the 2003 Japan Prize for his work in the field of chaos theory. This book was compiled by four of his best-known collaborators in honor of his 60th birthday and contains papers by various authors on chaos and chaotic attractors. The papers are organized around the topics of "

Chaotic attractors of relaxation oscillators

by John Guckenheimer, Martin Wechselberger, Lai-sang Young
"... ..."
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Robust learning of chaotic attractors

by Rembrandt Bakker, Jaap C. Schouten, Marc-Olivier Coppens, Floris Takens, C. Lee Giles, Cor M. Van Den Bleek
"... A fundamental problem with the modeling of chaotic time series data is that minimizing short-term prediction errors does not guarantee a match between the reconstructed attractors of model and experiments. We introduce a modeling paradigm that simultaneously learns to short-tenn predict and to locat ..."
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A fundamental problem with the modeling of chaotic time series data is that minimizing short-term prediction errors does not guarantee a match between the reconstructed attractors of model and experiments. We introduce a modeling paradigm that simultaneously learns to short-tenn predict

Hölder regularity and chaotic attractors

by Jacopo Bellazzini , 2001
"... We demonstrate how the Hölder regularity of a given signal is a lower bound for the Grassberger-Procaccia correlation dimension of strange attractors PACS numbers: 05.45D,47.52 It is known from the celebrated work by Lorenz [1] that even low-dimensional deterministic dynamical systems may exhibit ch ..."
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chaotic behavior. In the context of turbulence in fluid dynamics, Ruelle and Takens [2] have shown that the usual attractors of the asymptotic flow in the phase-space (fixed points, periodic and quasiperiodic motion) cannot explain the sensitive dependence of the solutions on the initial conditions

Divergence Measure Between Chaotic Attractors

by L. Diambra , 2000
"... We propose a measure of divergence of probability distributions for quantifying the dissimilarity of two chaotic attractors. This measure is defined in terms of a generalized entropy. We illustrate our procedure by considering the effect of additive noise in the well known Hénon attractor. Compariso ..."
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We propose a measure of divergence of probability distributions for quantifying the dissimilarity of two chaotic attractors. This measure is defined in terms of a generalized entropy. We illustrate our procedure by considering the effect of additive noise in the well known Hénon attractor

Chaotic attractors exhibiting quasicrystalline structure

by Clifford A. Reiter
"... An extension of canonical projection allowing the projection of objects from higher dimensional space onto quasicrystalline structures is developed. In particular, we create symmetric chaotic attractors in 5-dimensionsal space and then project them to the plane such that the resulting image exhibits ..."
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An extension of canonical projection allowing the projection of objects from higher dimensional space onto quasicrystalline structures is developed. In particular, we create symmetric chaotic attractors in 5-dimensionsal space and then project them to the plane such that the resulting image

Symmetry Breaking Bifurcations of Chaotic Attractors

by Philip J. Aston, Michael Dellnitz - INT. J. BIF. CHAOS , 1994
"... In an array of coupled oscillators synchronous chaos may occur in the sense that all the oscillators behave identically although the corresponding motion is chaotic. When a parameter is varied this fully symmetric dynamical state can lose its stability, and the main purpose of this paper is to inves ..."
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In an array of coupled oscillators synchronous chaos may occur in the sense that all the oscillators behave identically although the corresponding motion is chaotic. When a parameter is varied this fully symmetric dynamical state can lose its stability, and the main purpose of this paper

Fine structure of chaotic attractor for multiple-access communication

by Er S. Dmitriev, Sergey O. Starkov - Proceedings of NDES'99 , 1999
"... A method for multiple access using the structure of the unstable periodic orbits of chaotic attractor is proposed. Possible principles of the control and selection of unstable cycle-codes are presented. 1. ..."
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A method for multiple access using the structure of the unstable periodic orbits of chaotic attractor is proposed. Possible principles of the control and selection of unstable cycle-codes are presented. 1.
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