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Chaotic Dynamics papers — page 62

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On the local Hamiltonian structure of vector fields
We derive a canonical form for smooth vector fields on n+1. We use this to demonstrate the local multi-Hamiltonian nature of the corresponding flows. Associated with the canonical form is an…
P. CrehanDec 17, 1994
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Cycle expansions with pruned orbits have branch points
Cycle expansions are an efficient scheme for computing the properties of chaotic systems. When enumerating the orbits for a cycle expansion not all orbits that one would expect at first are present…
Ronnie MainieriDec 15, 1994
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Spectral Statistics in the Quantized Cardioid Billiard
The spectral statistics in the strongly chaotic cardioid billiard are studied. The analysis is based on the first 11000 quantal energy levels for odd and even symmetry respectively. It is found that…
A. Baecker, F. Steiner, P. StifterDec 14, 1994
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Estimation of embedding dimension by experimental data. Part 1
In connection with the investigations of initial stages of appearance of turbulence in the current-carrying mediums and also the investigations of relaxation oscillations in thin-film bridges of…
Konstantin E. Bobrov, Nickolas B. Volkov, Alexander M. Iskoldsky et al.Dec 14, 1994
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Numerical Renormalization Group Calculations For Similarity Solutions and Travelling Waves
We present a numerical implementation of the renormalization group (RG) for partial differential equations, constructing similarity solutions and travelling waves. We show that for a large class of…
Lin-Yuan Chen, Nigel GoldenfeldDec 9, 1994
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Gaussian Fluctuation in Random Matrices
Let N(L) be the number of eigenvalues, in an interval of length L, of a matrix chosen at random from the Gaussian Orthogonal, Unitary or Symplectic ensembles of N by N matrices,…
Ovidiu Costin, Joel L. LebowitzDec 6, 1994
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Global Existence and Large Time Asymptotic Bounds of Linfty Solutions of Thermal Diffusive Combustion Systems on Rn
We consider the initial value problem for the thermal-diffusive combustion systems of the form: u1,t= Deltaxu1 - u1 u2m, u2,t= d Deltax u2 + u1 u2m, x in Rn, n geq 1,…
P. Collet, J. XinDec 5, 1994
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The Construction of Zonal Models of Dispersion in Channels via Matched Centre Manifolds
Taylor's model of dispersion simply describes the long-term spread of material along a pipe, channel or river. However, often we need multi-mode models to resolve finer details in space and time.…
S. D. Watt, A. J. RobertsDec 2, 1994
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Geometric and Diffractive Orbits in the Scattering from Confocal Hyperbolae
We study the scattering resonances between two confocal hyperbolae and show that the spectrum is dominated by the effect of a single periodic orbit. There are two distinct cases depending on whether…
N. D. WhelanDec 2, 1994
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Decay of the Sinai Well in D dimensions
We study the decay law of the Sinai Well in D dimensions and relate the behavior of the decay law to internal distributions that characterize the dynamics of the system. We show that the long time…
A. J. Fendrik, M. J. SánchezNov 30, 1994
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On the Role of Non-Periodic Orbits in The Semiclassical Quantization of the Truncated Hyperbola Billiard
Based on an accurate computation of the first 1851 quantal energy levels of the truncated hyperbola billiard, we have found an anomalous long-range modulation in the integrated level density. It is…
R. Aurich, T. Hesse, F. SteinerNov 29, 1994
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Dynamical systems theory for music dynamics
We show that, when music pieces are cast in the form of time series of pitch variations, the concepts and tools of dynamical systems theory can be applied to the analysis of temporal dynamics…
Jean Pierre Boon, Olivier DecrolyNov 26, 1994
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Initial Conditions for Models of Dynamical Systems
The long-time behaviour of many dynamical systems may be effectively predicted by a low-dimensional model that describes the evolution of a reduced set of variables. We consider the question of how…
Stephen M. Cox, A. J. RobertsNov 25, 1994
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Anomalous Scaling in Kolmogorov--1941 Turbulence
We show that the Kolmogorov-1941 picture of fully developed hydrodynamic turbulence (with the scaling of the structure functions Sn(R) Rn/3) necessarily leads to an anomalous scaling…
V. S L'vov, V. V LebedevNov 24, 1994
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Uniform Semiclassical Wavepacket Propagation and Eigenstate Extraction in a Smooth Chaotic System
A uniform semiclassical propagator is used to time evolve a wavepacket in a smooth Hamiltonian system at energies for which the underlying classical motion is chaotic. The propagated wavepacket is…
Daniel Provost, Paul BrumerNov 16, 1994
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A closure model for intermittency in three dimensional incompressible turbulence
A simplified Lagrangean closure for the Navier-Stokes equation is used to study the production of intermittency in the inertial range of three dimensional turbulence. This is done using localized…
Piero OllaNov 15, 1994
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Discrete Symmetries in the Weyl Expansion for Quantum Billiards
We consider two and three-dimensional quantum billiards with discrete symmetries. We derive the first terms of the Weyl expansion for the level density projected onto the irreducible representations…
Nicolas PavloffNov 15, 1994
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Periodic orbits of the integrable Swinging Atwood's Machine
Solutions in terms of Elliptic Functions are provided for SAM in the integrable case where the mass ration equals three. My last SAM paper (I promise). To appear in The American Journal of Physics.
Nicholas B. TufillaroNov 15, 1994
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Renormalizing Partial Differential Equations
In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on…
J. Bricmont, A. KupiainenNov 14, 1994
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Equations for Turbulent Flood Waves
Long waves in rivers, estuaries and floods are described by the St Venant and Boussinesq equations in classical fluid dynamics. Based on the widely used k-ε model for turbulence, we use the…
Z. MEI, A. J. ROBERTSNov 14, 1994
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Extension of ``Renormalization of period doubling in symmetric volume-preserving maps''
We numerically reexamine the scaling behavior of period doublings in four-dimensional volume-preserving maps in order to resolve a discrepancy between numerical results on scaling of the coupling…
Sang-Yoon KimNov 14, 1994
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Topological time series analysis of a string experiment and its synchronized model
Template and prunning front are calculated for an experimental chaotic time series from a mechanical string experiment. An empirical synchronized model is also created for the data set. To appear in…
Nicholas B. TufillaroNov 12, 1994
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Synchronization of chaotic systems: the effects of additive noise and drift in the dynamics and driving
To appear in Physical Review E. Contains some analysis of experimental (mechanical) string data.
Nicholas B. TufillaroNov 12, 1994
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The effects of additive noise and drift in the dynamics of the driving on chaotic synchronization
Analysis of effects of noise and drift on chaotic synchronization. To appear in Physics Letters.
Nicholas B. TufillaroNov 12, 1994
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Comment on "Bouncing ball with finite restitution ..."
Some misleading statements in a recent paper in PRE are corrected.
Nicholas B. TufillaroNov 12, 1994
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