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Sporadicity: Between periodic and chaotic dynamical behaviors [PDF]
Proceedings of the National Academy of Sciences, 1988 We define the class of sporadic dynamical systems as the systems where the algorithmic complexity of Kolmogorov [Kolmogorov, A. N. (1983) Russ. Math. Surv. 38, 29-40] and Chaitin [Chaitin, G. J. (1987) Algorithmic Information Theory (Cambridge Univ.
Gaspard, Pierre, Wang, Xiao-Jing
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Detecting order and chaos in Hamiltonian systems by the SALI method [PDF]
, 2004 We use the Smaller Alignment Index (SALI) to distinguish rapidly and with certainty between ordered and chaotic motion in Hamiltonian flows. This distinction is based on the different behavior of the SALI for the two cases: the index fluctuates around ...
Antonopoulos, Ch +3 more
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Chaotic Behavior of Transistor Circuits
, 2012 In this chapter we present the behavior study of a chaotic circuit which is composed by an externally triggered single transistor. This investigation has been done with the three circuit-cases implementations that follow. First, we investigate the correlation of the chaotic time series between the transistor’s emitter and collector, by applying the ...
Hanias, M.P. +2 more
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Synchronization of Chaotic Oscillators due to Common Delay Time Modulation
, 2004 We have found a synchronization behavior between two identical chaotic systems^M when their delay times are modulated by a common irregular signal. ^M This phenomenon is demonstrated both in two identical chaotic maps whose delay times are driven by a ...
A. Pikovsky +9 more
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Interplay Between Chaotic and Regular Motion in a Time-Dependent Barred Galaxy Model [PDF]
, 2012 We study the distinction and quantification of chaotic and regular motion in a time-dependent Hamiltonian barred galaxy model. Recently, a strong correlation was found between the strength of the bar and the presence of chaotic motion in this system, as ...
Antonopoulos Ch +25 more
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Control and stability on chaotic convection in porous media with time delayed fractional orders
Advances in Difference Equations, 2017 In this paper, we study the effect of time delay and the scaled Rayleigh number on chaotic convection in porous media with fractional order. The stability analysis for different fractional-order cases is investigated and the effective chaotic range of ...
Khaled Moaddy
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, 1998 We demonstrate chaotic behavior of timelike, null and spacelike geodesics in non-homogeneous vacuum pp-wave solutions. This seems to be the first known example of a chaotic motion in exact radiative spacetime.Comment: 4 pages, revtex, 3 figures ...
Podolsky, J., Vesely, K.
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, 2000 The significant discussion about the possible chaotic behavior of the mixmaster cosmological model due to Cornish and Levin [J.N. Cornish and J.J. Levin, Phys. Rev. Lett. 78 (1997) 998; Phys. Rev. D 55 (1997) 7489] is revisited.
A.E Motter +18 more
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Morphological Analysis for Three-Dimensional Chaotic Delay Neural Networks
Journal of Mathematics, 2020 The study focuses on the chaotic behavior of a three-dimensional Hopfield neural network with time delay. We find the aspecific coefficient matrix and the initial value condition of the system and use MATLAB software to draw its graph.
Yusong Lu, Ricai Luo, Yongfu Zou
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Spectral statistics of a minimal quantum glass model
SciPost Physics, 2023 Glasses have the interesting feature of being neither integrable nor fully chaotic. They thermalize quickly within a subspace but thermalize much more slowly across the full space due to high free energy barriers which partition the configuration space ...
Richard Barney, Michael Winer, Christopher L. Baldwin, Brian Swingle, Victor Galitski
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