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Chaotic Dynamics papers — page 17

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On The Three Point Velocity Correlation Functions in 2d Forced Turbulence
We present a simple exact formula for the three point velocity correlation functions in two dimensional turbulence which is valid on all scales and which interpolates between the direct and inverse…
Denis BernardFeb 11, 1999
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Structural Invariance and the Energy Spectrum
We extend the application of the concept of structural invariance to bounded time independent systems. This concept, previously introduced by two of us to argue that the connection between random…
F. Leyvraz, R. A. Mendez-Sanchez, T. H. SeligmanFeb 11, 1999
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Use of Harmonic Inversion Techniques in Semiclassical Quantization and Analysis of Quantum Spectra
Harmonic inversion is introduced as a powerful tool for both the analysis of quantum spectra and semiclassical periodic orbit quantization. The method allows to circumvent the uncertainty principle…
J. MainFeb 11, 1999
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Shell Model for Time-correlated Random Advection of Passive Scalars
We study a minimal shell model for the advection of a passive scalar by a Gaussian time correlated velocity field. The anomalous scaling properties of the white noise limit are studied analytically.…
K. H. Andersen, P. Muratore-GinanneschiFeb 9, 1999
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A non extensive approach to the entropy of symbolic sequences
Symbolic sequences with long-range correlations are expected to result in a slow regression to a steady state of entropy increase. However, we prove that also in this case a fast transition to a…
Marco Buiatti, Paolo Grigolini, Luigi PalatellaFeb 6, 1999
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Nonlinear Dynamics of A Damped Magnetic Oscillator
We consider a damped magnetic oscillator, consisting of a permanent magnet in a periodically oscillating magnetic field. A detailed investigation of the dynamics of this dissipative magnetic system…
Sang-Yoon KimFeb 5, 1999
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Significance of Ghost Orbit Bifurcations in Semiclassical Spectra
Gutzwiller's trace formula for the semiclassical density of states in a chaotic system diverges near bifurcations of periodic orbits, where it must be replaced with uniform approximations. It is…
T. Bartsch, J. Main, G. WunnerFeb 4, 1999
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Narrow rings: a scattering billiard model
We propose a generic mechanism for the formation of narrow rings in rotating systems. For this purpose we use a system of discs rotating about a common center lying well outside the discs. A…
L. Benet, T. H. SeligmanFeb 3, 1999
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Quantum resonances and decay of a chaotic fractal repeller observed using microwaves
The quantum resonances of classically chaotic n-disk geometries were studied experimentally utilizing thin 2-D microwave geometries. The experiments yield the frequencies and widths of low-lying…
Wentao Lu, M. Rose, K. Pance et al.Feb 1, 1999
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Temporal chaos in discrete one dimensional gravity model of traffic flow
It has been shown that the discrete one dimensional gravity model of traffic flow dynamics exhibits temporal chaotic behavior
Elman M. Shahverdiev, Shin-ichi TadakiFeb 1, 1999
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Another Note on Forced Burgers Turbulence
The power law range for the velocity gradient probability density function in forced Burgers turbulence has been an issue of discussion recently. It is shown in [chao-dyn/9901006] that the negative…
Weinan E, Eric Vanden EijndenJan 28, 1999
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Intrinsically localized chaos in discrete nonlinear extended systems
The phenomenon of intrinsic localization in discrete nonlinear extended systems, i.e. the (generic) existence of discrete breathers, is shown to be not restricted to periodic solutions but it also…
P. J. Martinez, L. M. Floria, F. Falo et al.Jan 28, 1999
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Analog to Digital Conversion in Physical Measurements
There exist measuring devices where an analog input is converted into a digital output. Such converters can have a nonlinear internal dynamics. We show how measurements with such converting devices…
T. Kapitaniak, K. Zyczkowski, U. Feudel et al.Jan 26, 1999
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Identification and Control of Symmetric Systems
In a recent paper [Phys. Rev. E 57, p. 1550 (1998)] we demonstrated that the symmetries of the evolution equation and the target state have a profound effect on the selection of the admissible…
R. O. GrigorievJan 25, 1999
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Large-scale properties of passive scalar advection
We consider statistics of the passive scalar on distances much larger than the pumping scale. Such statistics is determined by statistics of Lagrangian contraction that is by probabilities of…
E. Balkovsky, G. Falkovich, V. Lebedev et al.Jan 23, 1999
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Intermittency in Turbulence
We derive from the Navier-Stokes equation an exact equation satisfied by the dissipation rate correlation function. We exploit its mathematical similarity to the corresponding equation derived from…
F. Hayot, C. JayaprakashJan 22, 1999
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Generic Twistless Bifurcations
We show that in the neighborhood of the tripling bifurcation of a periodic orbit of a Hamiltonian flow or of a fixed point of an area preserving map, there is generically a bifurcation that creates a…
H. R. Dullin, J. D. Meiss, D. SterlingJan 22, 1999
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Note on Forced Burgers Turbulence
A putative powerlaw range of the probability density of velocity gradient in high-Reynolds-number forced Burgers turbulence is studied. In the absence of information about shock locations, elementary…
Robert H. KraichnanJan 21, 1999
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Spiral Waves in Media with Complex Excitable Dynamics
The structure of spiral waves is investigated in super-excitable reaction-diffusion systems where the local dynamics exhibits multi-looped phase space trajectories. It is shown that such systems…
Andrei Goryachev, Raymond KapralJan 21, 1999
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Adaptive estimation and control of unstable periodic dynamics in excitable biological systems
Dynamical control of excitable biological systems is often complicated by the difficult and unreliable task of pre-control identification of unstable periodic orbits (UPOs). Here we show that, for…
David J. Christini, Daniel T. KaplanJan 20, 1999
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Chaos and Maps in Relativistic Dynamical Systems
The basic work of Zaslavskii et al showed that the classical non-relativistic electromagnetically kicked oscillator can be cast into the form of an iterative map on the phase space; the resulting…
L. P. Horwitz, Y. AshkenazyJan 20, 1999
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The Effect of Radiation on the Stochastic Web
A charged particle circling in a uniform magnetic field and kicked by an electric field is considered. Under the assumption of small magnetic field, an iterative map is developed. Comparison between…
Y. Ashkenazy, L. P. HorwitzJan 20, 1999
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Multiscaling and Structure Functions in Turbulence: An Alternative Approach
We propose an alternative formulation of structure functions for the velocity field in fully developed turbulence. Instead of averaging moments of the velocity differences as a function of the…
Mogens H. JensenJan 19, 1999
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Anomalous transport and quantum-classical correspondence
We present evidence that anomalous transport in the classical standard map results in strong enhancement of fluctuations in the localization length of quasienergy states in the corresponding quantum…
Bala Sundaram, G. M. ZaslavskyJan 19, 1999
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Random Analytic Chaotic Eigenstates
The statistical properties of random analytic functions psi(z) are investigated as a phase-space model for eigenfunctions of fully chaotic systems. We generalize to the plane and to the hyperbolic…
P. LeboeufJan 18, 1999
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