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Chaotic Dynamics papers — page 41

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Pinning Control of Spatiotemporal Chaos
Linear control theory is used to develop an improved localized control scheme for spatially extended chaotic systems, which is applied to a Coupled Map Lattice as an example. The optimal arrangement…
R. O. Grigoriev, M. C. Cross, H. G. SchusterApr 30, 1997
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Calculation of eigenvalues of a strongly chaotic system using Gaussian wavepacket dynamics
We apply the approximate dynamics derived from the Gaussian time-dependent variational principle to the Hamiltonian H= 1/2( px 2+ py 2)+ 1/2 x2 y2, which is…
Arjendu Pattanayak, William SchieveApr 22, 1997
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Kolmogorov's law for two-dimensional electron-magnetohydrodynamic turbulence
The analogue of the Kolmogorov's four-fifths law is derived for two-dimensional, homogeneous, isotropic EMHD turbulence in the energy cascade inertial range. Direct numerical simulations for the…
A. Celani, R. Prandi, G. BoffettaApr 22, 1997
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Ordered and Disordered Defect Chaos
Defect-chaos is studied numerically in coupled Ginzburg-Landau equations for parametrically driven waves. The motion of the defects is traced in detail yielding their life-times, annihilation…
Glen D. Granzow, Hermann RieckeApr 21, 1997
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Shocks and Structure Functions of Burgers and KPZ Equations
This paper is withdrawn. The revised paper appears in chao-dyn/9904020
Mahendra K. VermaApr 20, 1997
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Fractal Stability Border in Plane Couette Flow
We study the dynamics of localised perturbations in plane Couette flow with periodic lateral boundary conditions. For small Reynolds number and small amplitude of the initial state the perturbation…
Armin Schmiegel, Bruno EckhardtApr 18, 1997
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Remark on the relation between passive scalars and diffusion backward in time
The theory of stochastic differential equations is exploited to derive the Hopf's identities for a passive scalar advected by a Gaussian drift field delta-correlated in time. The result holds…
Paolo Muratore GinanneschiApr 17, 1997
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Quantum Dissipation versus Classical Dissipation for Generalized Brownian Motion
We try to clarify what are the genuine quantal effects that are associated with generalized Brownian Motion (BM). All the quantal effects that are associated with the…
Doron CohenApr 15, 1997
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Application of extended self similarity in turbulence
From Navier-Stokes turbulence numerical simulations we show that for the extended self similarity (ESS) method it is essential to take the third order structure function taken with the modulus and…
Siegfried Grossmann, Detlef Lohse, Achim ReehApr 11, 1997
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Different intermittency for longitudinal and transversal turbulent fluctuations
Scaling exponents of the longitudinal and transversal velocity structure functions in numerical Navier-Stokes turbulence simulations with Taylor-Reynolds numbers up to = 110 are determined by…
Siegfried Grossmann, Detlef Lohse, Achim ReehApr 11, 1997
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Anomalous Scaling and Structure Instability in Three-Dimensional Passive Scalar Turbulence
The anomalous scaling phenomena of three-dimensional passive scalar turbulence are studied using high resolution direct numerical simulation. The inertial range scaling exponents of the passive…
Shiyi Chen, Nianzheng CaoApr 9, 1997
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Linear and optimal nonlinear control of one-dimensional maps
We investigate the effects of linear and optimal nonlinear control in the simple case of one-dimensional unimodal maps. We show that linear feedback relates unimodal maps to invertible…
Justin McGuire, Murray T. Batchelor, Brian DaviesApr 9, 1997
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An Intermittency Model For Passive-Scalar Turbulence
A phenomenological model for the inertial range scaling of passive-scalar turbulence is developed based on a bivariate log-Poisson model. An analytical formula of the scaling exponent for…
Nianzheng Cao, Shiyi ChenApr 9, 1997
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Stochastic Resonance in Maps and Coupled Map Lattices
We demonstrate the phenomenon of stochastic resonance (SR) for discrete-time dynamical systems. We investigate various systems that are not necessarily bistable, but do have two well defined states,…
Prashant M. Gade, Renuka Rai, Harjinder SinghApr 9, 1997
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A Refined Similarity Hypothesis for Transverse Structure Functions
We argue on the basis of empirical data that Kolmogorov's refined similarity hypothesis (RSH) needs to be modified for transverse velocity increments, and propose an alternative. In this new…
Shiyi Chen, Katepalli R. Sreenivasan, Mark Nelkin et al.Apr 6, 1997
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Ginzburg-Landau equation for steps on creep curve
We consider a model proposed earlier by us for describing a form of plastic instability found in creep experiments . The model consists of three types of dislocations and some transformations between…
Mulugeta Bekele, G AnanthakrishnaApr 5, 1997
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Exactly solvable chaos and addition theorems of elliptic functions
A unified view is given to recent developments about a systematic method of constructing rational mappings as ergodic transformations with non-uniform invariant measures on the unit interval I=[0,1].…
Ken UmenoApr 4, 1997
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A Lower Bound for Chaos on the Elliptical Stadium
The elliptical stadium is a plane region bounded by a curve constructed by joining two half-ellipses by two parallel segments of equal length. The billiard inside it, as a map, generates a two…
Eduardo Canale, Roberto Markarian, Sylvie Oliffson Kamphorst et al.Apr 4, 1997
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Spatially Localized Unstable Periodic Orbits
Using an innovative damped-Newton method, we report the first calculation of many distinct unstable periodic orbits (UPOs) of a large high-dimensional extensively chaotic partial differential…
Scott M. Zoldi, Henry S. GreensideApr 3, 1997
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Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds
We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving…
Reggie Brown, Nikolai F. RulkovApr 1, 1997
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Lyapunov Exponent and the Solid-Fluid Phase Transition
We study changes in the chaotic properties of a many-body system undergoing a solid-fluid phase transition. To do this, we compute the temperature dependence of the largest Lyapunov exponents…
Kyung-Hoon Kwon, Byung-Yoon ParkApr 1, 1997
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Relaxation fluctuations about an equilibrium in quantum chaos
Classically chaotic systems relax to coarse grained states of equilibrium. Here we numerically study the quantization of such bounded relaxing systems, in particular the quasi-periodic fluctuations…
Arul LakshminarayanMar 31, 1997
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Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems
We present numerical evidence to show that the wavefunctions of smooth classically chaotic Hamiltonian systems scarred by certain simple periodic orbits are exponentially localized in the space of…
M. S. Santhanam, V. B. Sheorey, A. LakshminarayanMar 31, 1997
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Stochastic Resonance in Chaotic Spin-Wave Dynamics
We report the first experimental observation of noise-free stochastic resonance by utilizing the intrinsic chaotic dynamics of the system. To this end we have investigated the effect of an external…
Ekkehard Reibold, Wolfram Just, Hartmut BennerMar 26, 1997
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On the Collective Motion in Globally Coupled Chaotic Systems
A mean-field formulation is used to investigate the bifurcation diagram for globally coupled tent maps by means of an analytical approach. It is shown that the period doubling sequence of the single…
Wolfram JustMar 26, 1997
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