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Chaotic Dynamics papers — page 19

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Pair correlations of quantum chaotic maps from supersymmetry
A conjecture due to Bohigas, Giannoni and Schmit (BGS), stating that the energy level correlations of quantum chaotic systems generically obey the laws of random matrix theory, is given a precise…
Martin R. ZirnbauerDec 16, 1998
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Thermostatting by deterministic scattering
We present a mechanism for thermalizing a moving particle by microscopic deterministic scattering. As an example, we consider the periodic Lorentz gas. We modify the collision rules by including…
R. Klages, K. Rateitschak, G. NicolisDec 15, 1998
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Diffusion Limited Aggregation and Iterated Conformal Maps
The creation of fractal clusters by diffusion limited aggregation (DLA) is studied by using iterated stochastic conformal maps following the method proposed recently by Hastings and Levitov. The…
Benny Davidovich, H. G. E. Hentschel, Zeev Olami et al.Dec 14, 1998
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Improving the false nearest neighbors method with graphical analysis
We introduce a graphical presentation for the false nearest neighbors (FNN) method. In the original method only the percentage of false neighbors is computed without regard to the distribution of…
T. Aittokallio, M. Gyllenberg, J. Hietarinta et al.Dec 13, 1998
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Sailing the Deep Blue Sea of Decaying Burgers Turbulence
We study Lagrangian trajectories and scalar transport statistics in decaying Burgers turbulence. We choose velocity fields, solutions of the inviscid Burgers equation, whose probability distributions…
Michel Bauer, Denis BernardDec 10, 1998
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Error of semiclassical eigenvalues in the semiclassical limit - An asymptotic analysis of the Sinai billiard
We estimate the error in the semiclassical trace formula for the Sinai billiard under the assumption that the largest source of error is due to Penumbra diffraction, that is diffraction effects for…
P. DahlqvistDec 9, 1998
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Queues, Stacks, and Transcendentality at the Transition to Chaos
We examine the one-humped map at the period-doubling transition to chaos, and ask whether its long-term memory is stack-like (last-in, first-out) or queue-like (first-in, first-out). We show that it…
Cristopher Moore, Porus LakdawalaDec 9, 1998
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Time scales of relaxation and Lyapunov instabilities in a one-dimensional gravitating sheet system
The relation between relaxation, the time scale of Lyapunov instabilities, and the Kolmogorov-Sinai time in a one-dimensional gravitating sheet system is studied. Both the maximum Lyapunov exponent…
Toshio Tsuchiya, Naoteru GoudaDec 9, 1998
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Asymptotic expansion of 1-dimensional sub-manifolds of stable and unstable manifolds in a 4-dimensional symplectic mapping
We analytically compute asymptotic expansions of a 1-dimensional sub-manifold of stable and unstable manifolds in a 4-dimensional symplectic mapping by using the method called asymptotic expansions…
Yoshihiro Hirata, Tetsuro KonishiDec 9, 1998
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A Study of Circadian Rhythm and Meteorological Factors Influencing Acute Myocardial Infarction
The circadian rhythm in the occurrence of acute myocardial infarction (AMI) was assessed in three hundred and twenty three patients admitted with AMI during the two-year period June 1992 to May 1994.…
A. M. Selvam, D. Sen, S. M. S. ModyDec 8, 1998
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Triaxial Ellipsoidal Quantum Billiards
The classical mechanics, exact quantum mechanics and semiclassical quantum mechanics of the billiard in the triaxial ellipsoid is investigated. The system is separable in ellipsoidal coordinates. A…
Holger Waalkens, Jan Wiersig, Holger R. DullinDec 4, 1998
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Boundary Effects in The Complex Ginzburg-Landau Equation
The effect of a finite geometry on the two-dimensional complex Ginzburg-Landau equation is addressed. Boundary effects induce the formation of novel states. For example target like-solutions appear…
Victor M. Eguiluz, Emilio Hernandez-Garcia, Oreste PiroDec 4, 1998
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Measuring Scars of Periodic Orbits
The phenomenon of periodic orbit scarring of eigenstates of classically chaotic systems is attracting increasing attention. Scarring is one of the most important "corrections" to the ideal…
L. Kaplan, E. J. HellerDec 3, 1998
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Intermittency and scaling laws for wall bounded turbulence
Well defined scaling laws clearly appear in wall bounded turbulence, even very close to the wall, where a distinct violation of the refined Kolmogorov similarity hypothesis (RKSH) occurs together…
R. Benzi, G. Amati, C. M. Casciola et al.Dec 3, 1998
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Temporal intermittency and cascades in shell models of turbulence
The 2d and 3d like Gletzer, Okhitani and Yamada (GOY) shell models are examined. The 2d like model shows a transition from statistical quasi-equilibrium to cascade of enstrophy as a function of the…
P. D. DitlevsenDec 2, 1998
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Noiseless Collective Motion out of Noisy Chaos
We consider the effect of microscopic external noise on the collective motion of a globally coupled map in fully desynchronized states. Without the external noise a macroscopic variable shows…
Tatsuo Shibata, Tsuyoshi Chawanya, Kunihiko KanekoDec 1, 1998
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Chaos control in traffic flow models
Chaos control in some of the one- and two-dimensional traffic flow dynamical models in the mean field theory is studied.One dimensional model is investigated taking into account the effect of random…
Elman Mohammed Shahverdiev, Shin-ichi TadakiNov 30, 1998
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Periodic Orbit Theory and Spectral Statistics for Quantum Graphs
We quantize graphs (networks) which consist of a finite number of bonds and vertices. We show that the spectral statistics of fully connected graphs is well reproduced by random matrix theory. We…
Tsampikos Kottos, Uzy SmilanskyNov 29, 1998
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Lindstedt series and Hamilton--Jacobi equation for hyperbolic tori in three time scales problems
Interacting systems consisting of two rotators and a pendulum are considered, in a case in which the uncoupled systems have three very different characteristic time scales. The abundance of unstable…
Giovannni Gallavotti, Guido Gentile, Vieri MAstropietroNov 27, 1998
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Entropy production, dynamical localization and criteria for quantum chaos in the open quantum kicked rotor
The von Neumann entropy production for a quantum mechanical kicked rotor coupled to a thermal environment is calculated. This rate of entropy increase is shown to be a good criterion to distinguish…
Paul A. Miller, Sarben SarkarNov 27, 1998
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Kolmogorov equation in fully developed turbulence
The Kolmogorov equation with a forcing term is compared to experimental measurements, in low temperature helium gas, in a range of microscale Reynolds numbers Rλ between 120 and 1200. We show that…
F. Moisy, P. Tabeling, H. WillaimeNov 27, 1998
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Fix-point Multiplier Distributions in Discrete Turbulent Cascade Models
One-point time-series measurements limit the observation of three-dimensional fully developed turbulence to one dimension. For one-dimensional models, like multiplicative branching processes, this…
B. Jouault, M. Greiner, P. LipaNov 27, 1998
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Diffusive Ionization of Relativistic Hydrogen-Like Atom
Stochastic ionization of highly excited relativistic hydrogenlike atom in the monochromatic field is investigated. A theoretical analisis of chaotic dynamics of the relativistic electron based on…
D. U. MatrasulovNov 26, 1998
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Continued Fraction Representation of Temporal Multi Scaling in Turbulence
It was shown recently that the anomalous scaling of simultaneous correlation functions in turbulence is intimately related to the breaking of temporal scale invariance, which is equivalent to the…
David Daems, Siegfried Grossmann, Victor S. L'vov et al.Nov 25, 1998
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Shock Wave Emissions of a Sonoluminescing Bubble
A single bubble in water is excited by a standing ultrasound wave. At high intensity the bubble starts to emit light. Together with the emitted light pulse, a shock wave is generated in the liquid at…
Joachim Holzfuss, Matthias Ruggeberg, Andreas BilloNov 24, 1998
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