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Chaotic Dynamics papers — page 55

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Sensitivity of the eigenfunctions and the level curvature distribution in quantum billiards
In searching for the manifestations of sensitivity of the eigenfunctions in quantum billiards (with Dirichlet boundary conditions) with respect to the boundary data (the normal derivative) we have…
Baowen Li, Marko RobnikOct 26, 1995
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Estimating the Attractor Dimension of the Equatorial Weather System
The correlation dimension and limit capacity serve theoretically as lower and upper bounds, respectively, of the fractal dimension of attractors of dynamic systems. In this paper, we show that…
Melvin Leok Boon TiongOct 25, 1995
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A Generalization of the Theory of Normal Forms
Normal forms allow the use of a restricted class of coordinate transformations (typically homogeneous polynomials) to put the bifurcations found in nonlinear dynamical systems into a few standard…
W. H. Warner, P. R. Sethna, James P. SethnaOct 23, 1995
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Quantum Mechanics with Chaos: Correspondence Principle, Measurement and Complexity
The true dynamical randomness is obtained as a natural fundamental property of deterministic quantum systems. It provides quantum chaos passing to the classical dynamical chaos under the ordinary…
Andrei P. KirilyukOct 20, 1995
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Rifts in Spreading Wax Layers
We report experimental results on the rift formation between two freezing wax plates. The plates were pulled apart with constant velocity, while floating on the melt, in a way akin to the tectonic…
Rolf Ragnarsson, J. Lewis Ford, Christian D. Santangelo et al.Oct 19, 1995
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Dynamical behavior of a dissipative particle in a periodic potential subject to chaotic noise: Retrieval of chaotic determinism with broken parity
Dynamical behaviors of a dissipative particle in a periodic potential subject to chaotic noise are reported. We discovered a macroscopic symmetry breaking effect of chaotic noise on a dissipative…
Tsuyoshi Hondou, Yasuji SawadaOct 17, 1995
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Helical shell models for three dimensional turbulence
In this paper we study a new class of shell models, defined in terms of two complex dynamical variables per shell, transporting positive and negative helicity respectively. The dynamical equations…
R. Benzi, L. Biferale, E. TrovatoreOct 16, 1995
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Intermittency, chaos and singular fluctuations in the mixed Obukhov-Novikov shell model of turbulence
The multiscaling properties of the mixed Obukhov-Novikov shell model of turbulence are investigated numerically and compared with those of the complex GOY model, mostly studied in the recent years.…
Thierry Dombre, Jean-Louis GilsonOct 16, 1995
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Mechanisms for Stable Sonoluminescence
A gas bubble trapped in water by an oscillating acoustic field is expected to either shrink or grow on a diffusive timescale, depending on the forcing strength and the bubble size. At high ambient…
Michael Brenner, Detlef Lohse, David Oxtoby et al.Oct 13, 1995
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Global Diffusion in a Realistic Three-Dimensional Time-Dependent Nonturbulent Fluid Flow
We introduce and study the first model of an experimentally realizable three-dimensional time-dependent nonturbulent fluid flow to display the phenomenon of global diffusion of passive-scalar…
Julyan H. E. Cartwright, Mario Feingold, Oreste PiroOct 13, 1995
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The Level Splitting Distribution in Chaos-assisted Tunneling
A compound tunneling mechanism from one integrable region to another mediated by a delocalized state in an intermediate chaotic region of phase space was recently introduced to explain peculiar…
F. Leyvraz, D. UllmoOct 12, 1995
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The Role of the Environment in Chaotic Quantum Dynamics
We study how the interaction with an external incoherent environment induces a crossover from quantum to classical behavior for a particle whose classical motion is chaotic. Posing the problem in the…
B. S. Helmkamp, D. A. BrowneOct 12, 1995
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Generalized scaling in fully developed turbulence
In this paper we report numerical and experimental results on the scaling properties of the velocity turbulent fields in several flows. The limits of a new form of scaling, named Extended Self…
R. Benzi, L. Biferale, S. Ciliberto et al.Oct 12, 1995
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Multiple Transitions to Chaos in a Damped Parametrically Forced Pendulum
We study bifurcations associated with stability of the lowest stationary point (SP) of a damped parametrically forced pendulum by varying ω0 (the natural frequency of the pendulum) and A (the…
Sang-Yoon Kim, Kijin LeeOct 11, 1995
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Bifurcations in Globally Coupled Chaotic Maps
We propose a new method to investigate collective behavior in a network of globally coupled chaotic elements generated by a tent map. In the limit of large system size, the dynamics is described with…
Satoru MoritaOct 11, 1995
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Spatiotemporal bifurcations in plasma drift-waves
Experimental data from an experiment on drift--waves in plasma is presented. The experiment provides a space--time diagnostic and has a control parameter that permits the study of the transition from…
Alex Madon, Thomas KlingerOct 10, 1995
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Undecidability everywhere?
We discuss the question of if and how undecidability might be translatable into physics, in particular with respect to prediction and description, as well as to complementarity games.
Karl SvozilOct 5, 1995
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Infinite dimensional SRB measures
We review the basic steps leading to the construction of a Sinai-Ruelle-Bowen (SRB) measure for an infinite lattice of weakly coupled expanding circle maps, and we show that this measure has…
J. Bricmont, A. KupiainenOct 2, 1995
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The Limits of Mathematics
This condensed version of chao-dyn/9509010 will be the main hand-out for a course on algorithmic information theory to be given 22-29 May 1996 at the Rovaniemi Institute of Technology, Rovaniemi,…
G J ChaitinSep 28, 1995
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Semiclassical Quantisation Using Diffractive Orbits
Diffraction, in the context of semiclassical mechanics, describes the manner in which quantum mechanics smooths over discontinuities in the classical mechanics. An important example is a billiard…
Niall D. WhelanSep 27, 1995
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Distribution of Eigenvalues for the Modular Group
The two-point correlation function of energy levels for free motion on the modular domain, both with periodic and Dirichlet boundary conditions, are explicitly computed using a generalization of the…
E. Bogomolny, F. Leyvraz, C. SchmitSep 26, 1995
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Extended Self Similarity in numerical simulations of 3D anisotropic turbulence
Using a code based on the Lattice Boltzmann Equation, we have performed numerical simulations of a turbulent shear flow. We investigate the scaling behaviour of the structure functions in presence of…
R. Benzi, M. V. Struglia, R. TripiccioneSep 25, 1995
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Approach to ergodicity in quantum wave functions
According to theorems of Shnirelman and followers, in the semiclassical limit the quantum wavefunctions of classically ergodic systems tend to the microcanonical density on the energy shell. We here…
Bruno Eckhardt, Shmuel Fishman, Jonathan Keating et al.Sep 21, 1995
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Periodic Orbit Quantization beyond Semiclassics
A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher contributions to the spectral…
Gabor Vattay, Per E. RosenqvistSep 20, 1995
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Is there relevance of chaos in numerical solutions of quantum billiards?
In numerically solving the Helmholtz equation inside a connected plane domain with Dirichlet boundary conditions (the problem of the quantum billiard) one surprisingly faces enormous difficulties if…
Baowen Li, Marko RobnikSep 20, 1995
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