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Chaotic Dynamics papers — page 65

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Pattern Dynamics of a Coupled Map Lattice for Open Flow
The pattern dynamics of the one-way coupled logistic lattice which can serve as a phenomenological model for open flow is investigated and shown to be extremely rich. For medium and large coupling…
Frederick H. Willeboordse, Kunihiko KanekoJul 6, 1994
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Belavkin-Kolokoltsov watch-dog effects in interactively controlled stochastic computer-graphic dynamic systems
Stochastic properties of the long time behavior of a continuously observed (and interactively controlled) quantum--field top are investigated mathematically. Applications to interactively controlled…
Denis JurievJun 29, 1994
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Power law velocity fluctuations due to inelastic collisions in numerically simulated vibrated bed of powder
Distribution functions of relative velocities among particles in a vibrated bed of powder are studied both numerically and theoretically. In the solid phase where granular particles remain near their…
Y-h. Taguchi, Hideki TakayasuJun 29, 1994
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Chaos and Noise in a Truncated Toda Potential
Results are reported from a numerical investigation of orbits in a truncated Toda potential which is perturbed by weak friction and noise. Two significant conclusions are shown to emerge: (1) Despite…
Salman Habib, Henry E. Kandrup, M. Elaine MahonJun 26, 1994
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Symplectic Calculation of Lyapunov Exponents
The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalues of a symplectic…
Salman Habib, Robert D. RyneJun 26, 1994
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Stability Limit for Mode-I Fracture
In order to study the stability of mode-I fracture, we consider a crack moving along the centerline of a very wide strip and compute its steady-state response to a small, spatially periodic shear…
Emily S. C. Ching, J. S. LangerJun 23, 1994
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Coupled Analytic Maps
We consider a lattice of weakly coupled expanding circle maps. We construct, via a cluster expansion of the Perron-Frobenius operator, an invariant measure for these infinite dimensional dynamical…
J. Bricmont, A. KupiainenJun 22, 1994
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Periodic orbit asymptotics for intermittent Hamiltonian systems
We address the problems in applying cycle expansions to bound chaotic systems, caused by e.g. intermittency and incompleteness of the symbolic dynamics. We discuss zeta functions associated with…
Per DahlqvistJun 17, 1994
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The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator
The Argand diagram is used to display some characteristics of the Riemann Zeta function. The zeros of the Zeta function on the complex plane give rise to an infinite sequence of closed loops, all…
R. K. Bhaduri, Avinash Khare, J. LawJun 16, 1994
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Differential equations to compute corrections of the trace formula
In this paper a new method for computation of higher order corrections to the saddle point approximation of the Feynman path integral is discussed. The saddle point approximation leads to local…
Gabor VattayJun 14, 1994
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Nonlinear Resonances in the Solar System
Orbital resonances are ubiquitous in the Solar system. They play a decisive role in the long term dynamics, and in some cases the physical evolution, of the planets and of their natural satellites,…
Renu MalhotraJun 13, 1994
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Riemann zeta function is a fractal
Voronin's theorem on the `Universality'' of Riemann zeta function is shown to imply that Riemann zeta function is a fractal (in the sense that Mandelbrot set is a fractal) and a concrete…
S. C. WoonJun 11, 1994
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Complexity of Trajectories in Rectangular Billiards
Revised version: some minor errors and typos fixed; exposition watered. Abstract: To a trajectory of a billiard in parallelogram we assign its symbolic trajectory - the sequence of numbers of…
Yuliy BaryshnikovJun 9, 1994
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The Berry Paradox
Lecture given Wednesday 27 October 1993 at a Physics -- Computer Science Colloquium at the University of New Mexico. The lecture was videotaped; this is an edited transcript. It also incorporates…
G. J. ChaitinJun 9, 1994
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Effective Action Method for Langevin Equation
In this paper we present a formulation of the nonlinear stochastic differential equation which allows for systematic approximations. The method is not restricted to the asymptotic, i.e., stationary,…
A. Crisanti, U. Marini Bettolo MarconiJun 2, 1994
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Stochastic Resonance in Deterministic Chaotic Systems
We propose a mechanism which produces periodic variations of the degree of predictability in dynamical systems. It is shown that even in the absence of noise when the control parameter changes…
A. Crisanti, M. Falcioni, G. Paladin et al.May 20, 1994
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Bifurcations of two coupled classical spin oscillators
Two classical, damped and driven spin oscillators with an isotropic exchange interaction are considered. They represent a nontrivial physical system whose equations of motion are shown to allow for…
B. Rumpf, H. SauermannMay 16, 1994
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Chaotic Scattering Theory of Transport and Reaction-Rate Coefficients
The chaotic scattering theory is here extended to obtain escape-rate expressions for the transport coefficients appropriate for a simple classical fluid, or for a chemically reacting system. This…
J. R. Dorfman, P. GaspardMay 16, 1994
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Bifurcations in Globally Coupled Map Lattices
The dynamics of globally coupled map lattices can be described in terms of a nonlinear Frobenius--Perron equation in the limit of large system size. This approach allows for an analytical computation…
Wolfram JustMay 15, 1994
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Globally Coupled Maps: Almost Analytical Treatment of Phase Transitions
Bifurcations in a system of coupled maps are investigated. Using symbolic dynamics it is proven that for coupled shift maps the well known space--time--mixing attractor becomes unstable at a critical…
Wolfram JustMay 15, 1994
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Self-organized Periodic Lattices of Chaotic Defects
A novel type of self-organized lattice in which chaotic defects are arranged periodically is reported for a coupled map model of open flow. We find that temporally chaotic defects are followed by…
Frederick H. Willeboordse, Kunihiko KanekoMay 12, 1994
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Statistical Mechanics of Shell Models for 2D-Turbulence
We study shell models that conserve the analogues of energy and enstrophy, hence designed to mimic fluid turbulence in 2D. The main result is that the observed state is well described as a formal…
E. Aurell, G. Boffetta, A. Crisanti et al.May 11, 1994
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Defect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau Equation
We present a calculation of defect--defect correlation functions in the defect turbulence regime of the complex Ginzburg--Landau equation. Our results do not agree with the predictions of generic…
Bruce W. Roberts, Eberhard Bodenschatz, James P. SethnaMay 11, 1994
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Quantal Consequences of Perturbations Which Destroy Structurally Unstable Orbits in Chaotic Billiards
Non-generic contributions to the quantal level-density from parallel segments in billiards are investigated. These contributions are due to the existence of marginally stable families of periodic…
Harel Primack, Uzy SmilanskyMay 10, 1994
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Numerical Study of Granular Turbulence and the appearance of k-5/3 energy spectrum without flow
The vibrated bed of powder, a vessel that mono disperse glass beads fill and a loud speaker shakes, is investigated numerically with the distinct element method, a kind of molecular dynamics. When…
Y-h. TaguchiMay 7, 1994
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