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Chaotic Dynamics papers — page 47

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Fractal Collapse in Developed Hydrodynamic Turbulence
The problem of intermittency in developed hydrodynamic turbulence is considered. Explicit formulae taking into account effects of finite size of the inertial range are presented for the whole set of…
V. M. MalkinSep 26, 1996
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The Fermi-Pasta-Ulam problem revisited: stochasticity thresholds in nonlinear Hamiltonian systems
The Fermi-Pasta-Ulam α-model of harmonic oscillators with cubic anharmonic interactions is studied from a statistical mechanical point of view. Systems of N= 32 to 128 oscillators appear to be…
Lapo Casetti, Monica Cerruti-Sola, Marco Pettini et al.Sep 25, 1996
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Mixed Quantum-Classical versus Full Quantum Dynamics: Coupled Quasiparticle-Oscillator System
The relation between the dynamical properties of a coupled quasiparticle-oscillator system in the mixed quantum-classical and fully quantized descriptions is investigated. The system is considered to…
Holger Schanz, Bernd EsserSep 25, 1996
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Fractional differentiability of nowhere differentiable functions and dimensions
Weierstrass's everywhere continuous but nowhere differentiable function is shown to be locally continuously fractionally differentiable everywhere for all orders below the `critical order'…
Kiran M. Kolwankar, Anil D. GangalSep 24, 1996
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On Generalized Nambu Mechanics
A geometric formulation of a generalization of Nambu mechanics is proposed. This formulation is carried out, wherever possible, in analogy with that of Hamiltonian systems. In this formulation, a…
Sagar A. Pandit, Anil D. GangalSep 21, 1996
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Field theory of the quantum kicked rotor
The quantum kicked rotor is investigated by field theoretical methods. It is shown that the effective theory describing the long wave length physics of the system is precisely the supersymmetric…
Alexander Altland, Martin R. ZirnbauerSep 20, 1996
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Coupled Map Modeling for Cloud Dynamics
A coupled map model for cloud dynamics is proposed, which consists of the successive operations of the physical processes; buoyancy, diffusion, viscosity, adiabatic expansion, fall of a droplet by…
Tatsuo Yanagita, Kunihiko KanekoSep 19, 1996
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Quantum chaos, random matrix theory, and statistical mechanics in two dimensions - a unified approach
We present a theory where the statistical mechanics for dilute ideal gases can be derived from random matrix approach. We show the connection of this approach with Srednicki approach which connects…
Sudhir R. Jain, Daniel AlonsoSep 19, 1996
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Do zeta functions for intermittent maps have branch points?
We present numerical evidence that the dynamical zeta function and the Fredholm determinant of intermittent maps with a neutral fix point have branch point singularities at z=1 We consider the power…
Per DahlqvistSep 19, 1996
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Riemannian theory of Hamiltonian chaos and Lyapunov exponents
This paper deals with the problem of analytically computing the largest Lyapunov exponent for many degrees of freedom Hamiltonian systems. This aim is succesfully reached within a theoretical…
Lapo Casetti, Cecilia Clementi, Marco PettiniSep 18, 1996
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Extended time-delay autosynchronization for the buck converter
Time-delay autosynchronization (TDAS) can be used to stabilize unstable periodic orbits in dynamical systems. The technique involves continuous feedback of signals delayed by the orbit's period.…
C. Batlle, E. Fossas, G. OlivarSep 17, 1996
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An Invitation to Algorithmic Information Theory
I'll outline the latest version of my limits of math course. The purpose of this course is to illustrate the proofs of the key information-theoretic incompleteness theorems of algorithmic…
G. J. ChaitinSep 17, 1996
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Supersymmetry for Systems with Unitary Disorder: Circular Ensembles
A generalized Hubbard-Stratonovitch transformation relating an integral over random unitary N times N matrices to an integral over Efetov's unitary sigma model manifold, is introduced. This…
Martin R. ZirnbauerSep 14, 1996
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Geometric zero mode for the Kraichnan's problem of passive scalar advection
We find explicitly a zero mode of the Kraichnan operator at two dimensions.
E. BalkovskySep 12, 1996
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Intermittency of Burgers' Turbulence
We consider the tails of probability density function (PDF) for the velocity that satisfies Burgers equation driven by a Gaussian large-scale force. The saddle-point approximation is employed in the…
E. Balkovsky, G. Falkovich, I. Kolokolov et al.Sep 10, 1996
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Symmetry Decomposition of Potentials with Channels
We discuss the symmetry decomposition of the average density of states for the two dimensional potential V=x2y2 and its three dimensional generalisation V=x2y2+y2z2+z2x2. In both…
N. D. WhelanSep 10, 1996
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Disturbance propagation in chaotic extended systems with long-range coupling
Propagation of initially localized perturbations is investigated in chaotic coupled map lattices with long-range couplings decaying as a power of the distance. The initial perturbation propagates…
Alessandro Torcini, Stefano LepriSep 9, 1996
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Eigenstate structures around a hyperbolic point
Using coherent-state representations of quantum mechanics (Bargmann, Husimi, and stellar representations), we describe analytically the phase-space structure of the general eigenstates corresponding…
S. Nonnenmacher, A. VorosSep 5, 1996
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Periodic Orbits in Polygonal Billiards
We review some properties of periodic orbit families in polygonal billiards and discuss in particular a sum rule that they obey. In addition, we provide algorithms to determine periodic orbit…
Debabrata BiswasSep 4, 1996
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Periodic Orbits in a Simple Ray-Splitting System
We study ray dynamics in a square billiard that allows mode conversion and is parametrised by κ, the ratio of the velocities of the two modes. At κ→ 1+, conversion occurs at every…
Debabrata BiswasAug 28, 1996
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Periodic Orbits and Spectral Statistics of Pseudointegrable Billiards
We demonstrate for a generic pseudointegrable billiard that the number of periodic orbit families with length less than l increases as πb0l2/ a(l) , where b0 is a constant and…
Debabrata BiswasAug 28, 1996
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Mode fluctuations as fingerprint of chaotic and non-chaotic systems
The mode-fluctuation distribution P(W) is studied for chaotic as well as for non-chaotic quantum billiards. This statistic is discussed in the broader framework of the E(k,L) functions being the…
R. Aurich, A. Bäcker, F. SteinerAug 26, 1996
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Partial Dynamical Symmetry and Mixed Dynamics
Partial dynamical symmetry describes a situation in which some eigenstates have a symmetry which the quantum Hamiltonian does not share. This property is shown to have a classical analogue in which…
A. Leviatan, N. D. WhelanAug 24, 1996
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Quantum-Classical Correspondence via Liouville Dynamics: II. Correspondence for Chaotic Hamiltonian Systems
We prove quantum-classical correspondence for bound conservative classically chaotic Hamiltonian systems. In particular, quantum Liouville spectral projection operators and spectral densities, and…
Joshua Wilkie, Paul BrumerAug 15, 1996
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Quantum-Classical Correspondence via Liouville Dynamics: I. Integrable Systems and the Chaotic Spectral Decomposition
A general program to show quantum-classical correspondence for bound conservative integrable and chaotic systems is described. The method is applied to integrable systems and the nature of the…
Joshua Wilkie, Paul BrumerAug 15, 1996
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