Results 11 to 20 of about 626,939 (346)
The problem of characterizing the origin of the non-Gaussian properties of transport resulting from Hamiltonian dynamics is addressed. For this purpose the notion of chaotic jet is revisited and leads to the definition of a diagnostic able to capture some singular properties of the dynamics.
George M. Zaslavsky, Xavier Leoncini
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Chaotic itinerancy is universal dynamics in high-dimensional dynamical systems, showing itinerant motion among varieties of low-dimensional ordered states through high-dimensional chaos. Discovery, basic features, characterization, examples, and significance of chaotic itinerancy are surveyed.
Kaneko, Kunihiko, Tsuda, Ichiro
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Applied Physics A (in press)
Yuriy V. Pershin +3 more
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13 pages, 27 figures. PDFLaTeX with RevTeX4-1 macros. Fixed some typos and updated references. Published in proceedings of the conference on "Chaos, Complexity, and Transport" (Le Pharo, Marseille, June 2007)
Khalid Kamhawi, Jean-Luc Thiffeault
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Are there chaotic tilings? [PDF]
The existence of substitutions with a non-empty continuous spectrum, or even without discrete spectrum at all, has been somehow a surprise for physicists after they began using substitutions, inspired by the Fibonacci sequence, in relation with quasicrystals. The paper under review will, I guess, be also suprising: the authors explore a more subtle use
Daniel Berend +2 more
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We investigate chaotic dynamical systems for which the intensity of trajectories might grow unlimited in time. We show that (i) the intensity grows exponentially in time and is distributed spatially according to a fractal measure with an information dimension smaller than that of the phase space,(ii) such exploding cases can be described by an operator
Altmann, E., Portela, J., Tel, T.
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Dynamic properties of the dynamical system SFnm(X), SFnm(f))
Let X be a continuum and let n be a positive integer. We consider the hyperspaces Fn(X) and SFn(X). If m is an integer such that n > m ≥ 1, we consider the quotient space SFnm(X). For a given map f : X → X, we consider the induced maps Fn(f) : Fn(X) → Fn(
Franco Barragán +2 more
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Secure medical image transmission using deep neural network in e‐health applications
Recently, medical technologies have developed, and the diagnosis of diseases through medical images has become very important. Medical images often pass through the branches of the network from one end to the other. Hence, high‐level security is required.
Ala Abdulsalam Alarood +4 more
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Are chaotic functions really chaotic [PDF]
We give a classCof continuous functions from [0, 1] onto itself which are chaotic in the sense of Li and Yorke, but with the property that almost all (in the sense of Lebesgue) points of [0, 1] are eventually fixed. For some continuous functions from [0, 1] onto itself which are not inC, We also show that their non-wandering sets are all equal to the ...
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PVT-Robust CMOS Programmable Chaotic Oscillator: Synchronization of Two 7-Scroll Attractors [PDF]
Designing chaotic oscillators using complementary metal-oxide-semiconductor (CMOS) integrated circuit technology for generating multi-scroll attractors has been a challenge.
Carbajal-Gomez, Victor Hugo +3 more
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