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Chaotic Dynamics papers — page 66

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Bottleneck effects in turbulence: Scaling phenomena in r- versus p-space
We (analytically) calculate the energy spectrum corresponding to various experimental and numerical turbulence data analyzed by Benzi et al.. We find two bottleneck phenomena: While the local scaling…
Detlef Lohse, Axel Mueller-GroelingMay 4, 1994
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Spectral Duality for Planar Billiards
For a bounded open domain Ω with connected complement in R2 and piecewise smooth boundary, we consider the Dirichlet Laplacian -ΔΩ on Ω and the S-matrix on the complement Ωc. We…
J. -P. Eckmann, C. -A. PilletMay 2, 1994
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The Limits of Mathematics (in C)
This is a shortened version of "The Limits of Mathematics--Course Outline & Software" (IBM Research Report RC 19324, December 1993) in which all Mathematica code has either been deleted or,…
G. J. ChaitinApr 27, 1994
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Local Controls for Large Assemblies of Nonlinear Elements
We introduce a set of local procedures that are capable of controlling distributed systems that exhibit complex dynamical behavior. These local controllers need only perturb local parameters and use…
Michael Youssefmir, Bernardo HubermanApr 22, 1994
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Semiquantal dynamics of fluctuations: Ostensible quantum chaos
The time-dependent variational principle using generalized Gaussian trial functions yields a finite dimensional approximation to the full quantum dynamics and is used in many disciplines. It is shown…
Arjendu K. Pattanayak, William C. SchieveApr 15, 1994
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Hypersensitivity to perturbation in the quantum kicked top
For the quantum kicked top we study numerically the distribution of Hilbert-space vectors evolving in the presence of a small random perturbation. For an initial coherent state centered in a chaotic…
Ruediger Schack, Giacomo M. D'Ariano, Carlton M. CavesMar 29, 1994
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Ergodicity, ensembles, irreversibility in Boltzmann and beyond
The implications of the original misunderstanding of the etymology of the word "ergodic" are discussed, and the contents of a not too well known paper by Boltzmann are critically examined.…
Giovannni GallavottiMar 28, 1994
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Understanding Long-range Correlations in DNA Sequences
In this paper, we review the literature on statistical long-range correlation in DNA sequences. We examine the current evidence for these correlations, and conclude that a mixture of many length…
Wentian Li, Thomas G. Marr, Kunihiko KanekoMar 22, 1994
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Prediction Errors and Local Lyapunov Exponents
It is frequently asserted that in a chaotic system two initially close points will separate at an exponential rate governed by the largest global Lyapunov exponent. Local Lyapunov exponents, however,…
Matthew B. Kennel, Henry D. I. Abarbanel, J. J. "Sid" SidorowichMar 9, 1994
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Approximate zeta functions for the Sinai billiard and related systems
We discuss zeta functions, and traces of the associated weighted evolution operators for intermittent Hamiltonian systems in general and for the Sinai billiard in particular. The intermittency of…
Per DahlqvistFeb 24, 1994
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The Bogdanov Map: Bifurcations, Mode Locking, and Chaos in a Dissipative System
We investigate the bifurcations and basins of attraction in the Bogdanov map, a planar quadratic map which is conjugate to the Hénon area-preserving map in its conservative limit. It undergoes a Hopf…
David K. Arrowsmith, Julyan H. E. Cartwright, Alexis N. Lansbury et al.Feb 22, 1994
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Transition to Chaos in a Shell Model of Turbulence
We study a shell model for the energy cascade in three dimensional turbulence at varying the coefficients of the non-linear terms in such a way that the fundamental symmetries of Navier-Stokes are…
L. Biferale, A. Lambert, R. Lima et al.Feb 22, 1994
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A Method for Detecting Possible Non-determinism in a Time Series
A method for detecting possible non-deterministic dynamics underlying a time series is introduced. Non-deterministic dynamics may arise due to the failure of the Lipschitz condition in the equations…
D. D. Dixon, M. Zak, J. P. ZbilutFeb 19, 1994
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Quasi-equilibria in one-dimensional self-gravitating many body systems
The microscopic dynamics of one-dimensional self-gravitating many-body systems is studied. We examine two courses of the evolution which has the isothermal and stationary water-bag distribution as…
Toshio Tsuchiya, Tetsuro Konishi, Naoteru GoudaFeb 15, 1994
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Finite size corrections to scaling in high Reynolds number turbulence
We study analytically and numerically the corrections to scaling in turbulence which arise due to the finite ratio of the outer scale L of turbulence to the viscous scale η, i.e., they are due to…
Siegfried Grossmann, Detlef Lohse, Victor L'vov et al.Feb 9, 1994
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Quantum Chaos
A short historical overview is given on the development of our knowledge of complex dynamical systems with special emphasis on ergodicity and chaos, and on the semiclassical quantization of…
Frank SteinerFeb 7, 1994
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Periodic Orbit Theory of Diffraction
An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic orbits which have…
Gábor Vattay, Andreas Wirzba, Per E. RosenqvistJan 21, 1994
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Stability Estimate in Scattering Theory and Its Application to Mesoscopic Systems and Quantum Chaos
We consider scattering of a free quantum particle on a singular potential with rather arbitrary shape of the support of the potential. In the classical limit =0 this problem reduces to the…
Alexander G. Ramm, Gennady P. BermanJan 19, 1994
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Crossover from high to low Reynolds number turbulence
The Taylor-Reynolds and Reynolds number (Reλ and Re) dependence of the dimensionless energy dissipation rate = L / 1rms3 is derived for statistically stationary isotropic…
Detlef LohseJan 18, 1994
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Chaotic time series Part II: System identification and prediction
This paper is the second in a series of two, and describes the current state of the art in modelling and prediction of chaotic time series. Sampled data from deterministic non-linear systems may look…
Bjoern Lillekjendlie, Dimitris Kugiumtzis, Nils ChristophersenJan 14, 1994
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Chaotic time series Part I: Estimation of invariant properies in state space
Certain deterministic non-linear systems may show chaotic behaviour. Time series derived from such systems seem stochastic when analyzed with linear techniques. However, uncovering the deterministic…
Dimitris Kugiumtzis, Bjoern Lillekjendlie, Nils ChristophersenJan 14, 1994
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The Dynamics of Vortex Structures and States of Current in Plasma-Like Fluids and the Electrical Explosion of Conductors: 3. Comparison with Experiment
The present paper is a concluding part of the series [N.B. Volkov and A.M. Iskoldsky: 1; 2; [1], [2]]. Here on the basis of the results of the above papers the experiments on the electric explosion…
N B Volkov, A M IskoldskyJan 6, 1994
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The Dynamics of Vortex Structures and States of Current in Plasma-Like Fluids and the Electrical Explosion of Conductors: 2. Computer experiment
In the present paper which is a sequel to [N.B. Volkov and A.M. Iskoldsky The dynamics of vortex structures and states of current: 1;[1]], the dynamics of non-equilibrium phase transitions and states…
N. B. Volkov, A. M. IskoldskyJan 5, 1994
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The Dynamics Of Vortex Structures And States Of Current In Plasma-Like Fluids And The Electrical Explosion Of Conductors: 1. The model of a non-equilibrium phase transition
A set of equations according to which the conducting medium consists of two fluids - laminar and vortex, has been obtained in the present paper by transforming MHD equations. In a similar way, an…
N. B. Volkov, A. M. IskoldskyDec 21, 1993
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Bifurcations and Spatial Chaos in an Open Flow Model
It is shown that a coupled map model for open flow may exhibit spatial chaos and spatial quasiperiodicity with temporal periodicity. The locations of these patterns, which cover a substantial part of…
Frederick H. Willeboordse, Kunihiko KanekoDec 21, 1993
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