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Chaotic Dynamics papers — page 6

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Energy dissipation statistics in a shell model of turbulence
The Reynolds number dependence of the statistics of energy dissipation is investigated in a shell model of fully developed turbulence. The results are in agreement with a model which accounts for…
G. Boffetta, A. Celani, D. RoagnaSep 30, 1999
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Detecting and analysing nonstationarity in a time series with nonlinear cross-predictions
We propose an informal test for stationarity in a time series which checks for the compatibility of nonlinear approximations to the dynamics made in different segments of the sequence. The segments…
Thomas SchreiberSep 30, 1999
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Discrimination power of measures for nonlinearity in a time series
The performance of a number of different measures of nonlinearity in a time series is compared numerically. Their power to distinguish noisy chaotic data from linear stochastic surrogates is…
Thomas Schreiber, Andreas SchmitzSep 30, 1999
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Constrained randomization of time series data
A new method is introduced to create artificial time sequences that fulfil given constraints but are random otherwise. Constraints are usually derived from a measured signal for which surrogate data…
Thomas SchreiberSep 30, 1999
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Improved surrogate data for nonlinearity tests
Current tests for nonlinearity compare a time series to the null hypothesis of a Gaussian linear stochastic process. For this restricted null assumption, random surrogates can be constructed which…
Thomas Schreiber, Andreas SchmitzSep 30, 1999
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Collision and symmetry-breaking in the transition to strange nonchaotic attractors
Strange nonchaotic attractors (SNAs) can be created due to the collision of an invariant curve with itself. This novel ``homoclinic'' transition to SNAs occurs in quasiperiodically driven…
Awadhesh Prasad, Ramakrishna Ramaswamy, Indubala I. Satija et al.Sep 30, 1999
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Universality and saturation of intermittency in passive scalar turbulence
The statistical properties of a scalar field advected by the non-intermittent Navier-Stokes flow arising from a two-dimensional inverse energy cascade are investigated. The universality properties of…
A. Celani, A. Lanotte, A. Mazzino et al.Sep 29, 1999
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Macroscopic Determinism in Noninteracting Systems Using Large Deviation Theory
We consider a general system of n noninteracting identical particles which evolve under a given dynamical law and whose initial microstates are a priori independent. The time evolution of the…
Brian R. La Cour, William C. SchieveSep 27, 1999
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Surrogate time series
Before we apply nonlinear techniques, for example those inspired by chaos theory, to dynamical phenomena occurring in nature, it is necessary to first ask if the use of such advanced techniques is…
Thomas Schreiber, Andreas SchmitzSep 27, 1999
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Non-Equilibrium Statistical Mechanics of Strongly Anharmonic Chains of Oscillators
We study the model of a strongly non-linear chain of particles coupled to two heat baths at different temperatures. Our main result is the existence and uniqueness of a stationary state at all…
Jean-Pierre Eckmann, Martin HairerSep 24, 1999
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Indistinguishable multiplier statistics of discrete and continous turbulent cascade models
The multiplier statistics of discrete and continuous nonconservative multiplicative cascade models, employed to describe the energy cascade in fully developed turbulence, is investigated. It is found…
Bruno Jouault, Juergen Schmiegel, Martin GreinerSep 22, 1999
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Scaling in thermal convection: A unifying theory
A systematic theory for the scaling of the Nusselt number Nu and of the Reynolds number Re in strong Rayleigh-Benard convection is suggested and shown to be compatible with recent experiments. It…
Siegfried Grossmann, Detlef LohseSep 21, 1999
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Numerical study of a three-dimensional generalized stadium billiard
We study a generalized three-dimensional stadium billiard and present strong numerical evidence that this system is completely chaotic. In this convex billiard chaos is generated by the defocusing…
Thomas PapenbrockSep 17, 1999
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A comparative study of computation of Lyapunov spectra with different algorithms
In this paper we make a detailed numerical comparison between three algorithms for the computation of the full Lyapunov spectrum as well as the associated eigen-vectors of general dynamical systems.…
K. Ramasubramanian, M. S. SriramSep 17, 1999
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Finite Wavelength Instabilities in a Slow Mode Coupled Complex Ginzburg-Landau Equation
In this letter, we discuss the effect of slow real modes in reaction-diffusion systems close to a supercritical Hopf bifurcation. The spatio-temporal effects of the slow mode cannot be captured by…
M. Ipsen, P. G. SoerensenSep 17, 1999
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On the large time asymptotics of decaying Burgers turbulence
The decay of Burgers turbulence with compactly supported Gaussian "white noise" initial conditions is studied in the limit of vanishing viscosity and large time. Probability distribution…
Roger Tribe, Oleg ZaboronskiSep 16, 1999
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Semiclassical form factor for chaotic systems with spin 1/2
We study the properties of the two-point spectral form factor for classically chaotic systems with spin 1/2 in the semiclassical limit, with a suitable semiclassical trace formula as our principal…
Jens Bolte, Stefan KeppelerSep 16, 1999
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Symmetry Breaking, Anomalous Scaling and Large-Scale Flow Generation in a Convection Cell
We consider a convection process in a thin loop. At Ra=Racr a first transition leading to the generation of corner vortices is observed. At higher Ra a coherent large-scale flow,…
Ananias G. Tomboulides, Victor YakhotSep 15, 1999
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Quantum Aharonov-Bohm Billiard System
The Green's functions of the two and three-dimensional relativistic Aharonov-Bohm (A-B) systems are given by the path integral approach. In addition the exact radial Green's functions of the…
Der-San Chuu, De-Hone LinSep 15, 1999
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Does mesoscopic disorder imply microscopic chaos?
We argue that Gaspard and coworkers do not give evidence for microscopic chaos in the sense in which they use the term. The effectively infinite number of molecules in a fluid can generate the same…
Peter Grassberger, Thomas SchreiberSep 15, 1999
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Nonperturbative Spectrum of Anomalous Scaling Exponents in the Anisotropic Sectors of Passively Advected Magnetic Fields
We address the scaling behavior of the covariance of the magnetic field in the three-dimensional kinematic dynamo problem when the boundary conditions and/or the external forcing are not isotropic.…
I. Arad, L. Biferale, I. ProcacciaSep 14, 1999
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Lyapunov Exponent, Generalized Entropies and Fractal Dimensions Of Hot Drops
We calculate the maximal Lyapunov exponent, the generalized entropies, the asymptotic distance between nearby trajectories and the fractal dimensions for a finite two dimensional system at different…
C. O. Dorso, A. BonaseraSep 10, 1999
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On the dynamics of a self-gravitating medium with random and non-random initial conditions
The dynamics of a one-dimensional self-gravitating medium, with initial density almost uniform is studied. Numerical experiments are performed with ordered and with Gaussian random initial…
Erik Aurell, Duccio Fanelli, Paolo Muratore-GinanneschiSep 9, 1999
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Wavepacket dynamics in energy space, RMT and quantum-classical correspondence
We apply random-matrix-theory (RMT) to the analysis of evolution of wavepackets in energy space. We study the crossover from ballistic behavior to saturation, the possibility of having an…
Doron Cohen, Felix M. Izrailev, Tsampikos KottosSep 9, 1999
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Unification of perturbation theory, RMT and semiclassical considerations in the study of parametrically-dependent eigenstates
We consider a classically chaotic system that is described by an Hamiltonian H(Q,P;x) where x is a constant parameter. Our main interest is in the case of a gas-particle inside a cavity, where x…
Doron Cohen, Eric J. HellerSep 9, 1999
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