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Chaotic Dynamics papers — page 14

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Vector Nonlinear Klein-Gordon Lattices: General Derivation of Small Amplitude Envelope Soliton Solutions
Group velocity and group velocity dispersion for a wave packet in vectorial discrete Klein-Gordon models are obtained by an expansion, based on perturbation theory, of the linear system giving the…
Simona Cocco, Maria Barbi, Michel PeyrardApr 19, 1999
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A Mean-field statistical theory for the nonlinear Schrodinger equation
A statistical model of self-organization in a generic class of one-dimensional nonlinear Schrodinger (NLS) equations on a bounded interval is developed. The main prediction of this model is that the…
Richard Jordan, Bruce Turkington, Craig ZirbelApr 16, 1999
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Exit time of turbulent signals: a way to detect the intermediate dissipative range
The exit time statistics of experimental turbulent data is analyzed. By looking at the exit-time moments (Inverse Structure Functions) it is possible to have a direct measurement of scaling…
L. Biferale, M. Cencini, D. Vergni et al.Apr 16, 1999
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Statistical Theory for the Stochastic Burgers Equation in the Inviscid Limit
A statistical theory is developed for the stochastic Burgers equation in the inviscid limit. Master equations for the probability density functions of velocity, velocity difference and velocity…
Weinan E, Eric Vanden EijndenApr 15, 1999
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Structure function of passive scalars in two-dimensional turbulence
The structure function of a scalar θ( x,t), passively advected in a two-dimensional turbulent flow u( x,t), is discussed by means of the fractal dimension δ(1)g of the…
Bruno Eckhardt, Joerg SchumacherApr 14, 1999
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Spectrum of stochastic evolution operators: Local matrix representation approach
A matrix representation of the evolution operator associated with a nonlinear stochastic flow with additive noise is used to compute its spectrum. In the weak noise limit a perturbative expansion for…
Predrag Cvitanovic, Niels Sondergaard, Gergely Palla et al.Apr 14, 1999
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Chaotic dynamics of a classical radiant cavity
The statistical properties of a classical electromagnetic field in interaction with matter are numerically investigated on a one-dimensional model of a radiant cavity, conservative and with finite…
Giuliano Benenti, Giulio Casati, Italo GuarneriApr 14, 1999
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Intermittency in Inhomogeneous Coupled Map Lattices
We study the phenomenon of intermittency in inhomogeneous lattices of coupled map where inhomogeneity appears in the form of different values of map parameters at adjacent sites.The system exhibits…
Ashutosh Sharma, Neelima GupteApr 14, 1999
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Surrogate data for non-stationary signals
Standard tests for nonlinearity reject the null hypothesis of a Gaussian linear process whenever the data is non-stationary. Thus, they are not appropriate to distinguish nonlinearity from…
Andreas Schmitz, Thomas SchreiberApr 13, 1999
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Intermittency exponents and energy spectrum of the Burgers and KPZ equations with correlated noise
We numerically calculate the energy spectrum, intermittency exponents, and probability density P(u') of the one-dimensional Burgers and KPZ equations with correlated noise. We have used…
Mahendra K. VermaApr 12, 1999
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Kepler map
We present a consecutive derivation of mapping equations of motion for the one-dimensional classical hydrogenic atom in a monochromatic field of any frequency. We analyze this map in the case of high…
B. Kaulakys, G. VilutisApr 12, 1999
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Transitions to Line-Defect Turbulence in Complex Oscillatory Media
The transition from complex-periodic to chaotic behavior is investigated in oscillatory media supporting spiral waves. We find turbulent regimes characterized by the spontaneous nucleation,…
Andrei Goryachev, Hugues Chate', Raymond KapralApr 12, 1999
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Homoclinic Bifurcations for the Henon Map
Chaotic dynamics can be effectively studied by continuation from an anti-integrable limit. We use this limit to assign global symbols to orbits and use continuation from the limit to study their…
D. G. Sterling, H. R. Dullin, J. D. MeissApr 9, 1999
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Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems
There exists a variety of physically interesting situations described by continuous maps that are nondifferentiable on some surface in phase space. Such systems exhibit novel types of bifurcations in…
Mitrajit Dutta, Helena E. Nusse, Edward Ott et al.Apr 9, 1999
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Dynamics of vortex and magnetic lines in ideal hydrodynamics and MHD
Vortex line and magnetic line representations are introduced for description of flows in ideal hydrodynamics and MHD, respectively. For incompressible fluids it is shown that the equations of motion…
E. A. Kuznetsov, V. P. RubanApr 8, 1999
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Two-Dimensional turbulence in the inverse cascade range
Numerical and physical experiments on the forced two-dimensional Navier-Stokes equations show that transverse velocity differences are described by ``normal'' Kolmogorov scaling $<(Δv)2n>…
Victor YakhotApr 7, 1999
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Magnetic field correlations in kinematic two-dimensional magnetohydrodynamic turbulence
The scaling properties of the second order magnetic structure function D2(B)(r) and the corresponding magnetic correlation function C2(B)(r) are derived for two-dimensional…
Joerg Schumacher, Bruno EckhardtApr 7, 1999
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Traversal-time distribution for a classical time-modulated barrier
The classical problem of a time-modulated barrier, inspired by the Buttiker and Landauer model to study the tunneling times, is analyzed. We show that the traversal-time distribution of an ensemble…
Jose L. MateosApr 7, 1999
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Dripping Faucet Dynamics Clarified by an Improved Mass-Spring Model
An improved mass-spring model for a dripping faucet is presented. The model is constructed based on the numerical results which we recently obtained from fluid dynamical calculations. Both the fluid…
Ken Kiyono, Nobuko FuchikamiApr 6, 1999
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Randomly Amplified Discrete Langevin Systems
A discrete stochastic process involving random amplification with additive noise is studied analytically. If the non-negative random amplification factor b is such that <bβ>=1 where β is any…
Nobuko FuchikamiApr 5, 1999
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Thermodynamic limit from small lattices of coupled maps
We compare the behaviour of a small truncated coupled map lattice with random inputs at the boundaries with that of a large deterministic lattice essentially at the thermodynamic limit. We find…
R. Carretero-González, S. Ørstavik, J. Huke et al.Apr 2, 1999
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Spectral Statistics for Quantum Graphs: Periodic Orbits and Combinatorics
We consider the Schroedinger operator on graphs and study the spectral statistics of a unitary operator which represents the quantum evolution, or a quantum map on the graph. This operator is the…
Holger Schanz, Uzy SmilanskyApr 1, 1999
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One-dimensional dynamics for travelling fronts in coupled map lattices
Multistable coupled map lattices typically support travelling fronts, separating two adjacent stable phases. We show how the existence of an invariant function describing the front profile, allows a…
R. Carretero-González, D. K. Arrowsmith, F. VivaldiApr 1, 1999
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Semiclassical Treatment of Diffraction in Billiard Systems with a Flux Line
In billiard systems with a flux line semiclassical approximations for the density of states contain contributions from periodic orbits as well as from diffractive orbits that are scattered on the…
Martin SieberMar 31, 1999
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Control of Dynamic Hopf Bifurcations
The slow passage through a Hopf bifurcation leads to the delayed appearance of large amplitude oscillations. We construct a smooth scalar feedback control which suppresses the delay and causes the…
Nils BerglundMar 31, 1999
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