Results 1 to 10 of about 514,097 (224)
Mode fluctuations as fingerprint of chaotic and non-chaotic systems [PDF]
International Journal of Modern Physics B, 1996 The mode-fluctuation distribution $P(W)$ is studied for chaotic as well as for non-chaotic quantum billiards. This statistic is discussed in the broader framework of the $E(k,L)$ functions being the probability of finding $k$ energy levels in a randomly ...
Aurich, R., Bäcker, A., Steiner, F.
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Communications in Nonlinear Science and Numerical Simulation, 2003 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.
Leoncini, Xavier, Zaslavsky, George M.
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Applied Physics A, 2011 Applied Physics A (in press)
Yuriy V. Pershin +3 more
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Chaos, Complexity and Transport, 2008 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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EPL (Europhysics Letters), 2015 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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Discrete & Continuous Dynamical Systems, 2021 We present a definition of chaotic Delone set, and establish the genericity of chaos in the space of $( , )$-Delone sets for $ \geq $. We also present a hyperbolic analogue of the cut-and-project method that naturally produces examples of chaotic Delone sets.
Álvarez López,, Jesús Antonio +4 more
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Controlling Chaos in a Neural Network Based on the Phase Space Constraint [PDF]
, 2003 The chaotic neural network constructed with chaotic neurons exhibits very rich dynamic behaviors and has a nonperiodic associative memory. In the chaotic neural network, however, it is dicult to distinguish the stored patters from others, because the ...
CAO, Prof. Zhi-tong +3 more
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Is the PPG Signal Chaotic? [PDF]
IEEE Access, 2020 This paper shows how the dynamics of the PhotoPlethysmoGraphic (PPG) signal, an easily accessible biological signal from which valuable diagnostic information can be extracted, of young and healthy individuals performs at different timescales. On a small timescale, the dynamic behavior of the PPG signal is predominantly quasi-periodic.
Javier De Pedro-Carracedo +3 more
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Controlling chaos in a chaotic neural network [PDF]
, 2003 The chaotic neural network constructed with chaotic neuron shows the associative memory function, but its memory searching process cannot be stabilized in a stored state because of the chaotic motion of the network.
Cao, Prof. Z. +3 more
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Are chaotic functions really chaotic [PDF]
Bulletin of the Australian Mathematical Society, 1983 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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