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Chaotic Dynamics papers — page 15

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Twofold-broken rational tori and the uniform semiclassical approximation
We investigate broken rational tori consisting of a chain of four (rather than two) periodic orbits. The normal form that describes this configuration is identified and used to construct a uniform…
Henning SchomerusMar 31, 1999
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Multistability in dynamical systems
In neuroscience, optics and condensed matter there is ample physical evidence for multistable dynamical systems, that is, systems with a large number of attractors. The known mathematical mechanisms…
R. Vilela MendesMar 30, 1999
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Spectral properties of Dissipative Chaotic Quantum Maps
I examine spectral properties of a dissipative chaotic quantum map with the help of a recently discovered semiclassical trace formula. I show that in the presence of a small amount of dissipation the…
Daniel BraunMar 29, 1999
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Nonhyperbolic homoclinic chaos
Homoclinic chaos is usually examined with the hypothesis of hyperbolicity of the critical point. We consider here, following a (suitably adjusted) classical analytic method, the case of…
G. Cicogna, M. SantopreteMar 26, 1999
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A Nonlinear Analysis of the Averaged Euler Equations
This paper develops the geometry and analysis of the averaged Euler equations for ideal incompressible flow in domains in Euclidean space and on Riemannian manifolds, possibly with boundary. The…
Darryl D. Holm, Shinar Kouranbaeva, Jerrold E. Marsden et al.Mar 25, 1999
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The Euler-Poincare Equations in Geophysical Fluid Dynamics
Recent theoretical work has developed the Hamilton's-principle analog of Lie-Poisson Hamiltonian systems defined on semidirect products. The main theoretical results are twofold: (1)…
Darryl D. Holm, Jerrold E. Marsden, Tudor S. RatiuMar 25, 1999
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Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion
We formulate equations for the slow time dynamics of fluid motion that self consistently account for the effects of the variability upon the mean. The time-average effects of the fluctuations…
Darryl D. HolmMar 25, 1999
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A connection between the Camassa-Holm equations and turbulent flows in channels and pipes
In this paper we discuss recent progress in using the Camassa-Holm equations to model turbulent flows. The Camassa-Holm equations, given their special geometric and physical properties, appear…
S. Chen, C. Foias, D. D. Holm et al.Mar 25, 1999
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The effect of noise on parameter estimation in systems with complicated dynamics
Changes in parameters of a physical device can eventually lead to catastrophic failure. This paper discusses a parameter estimation method based on synchronization between a model and time series…
Justin Goodwin, Reggie Brown, Lutz JungeMar 24, 1999
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On the classical dynamics of billiards on the sphere
We study the classical motion in bidimensional polygonal billiards on the sphere. In particular we investigate the dynamics in tiling and generic rational and irrational equilateral triangles. Unlike…
M. E. Spina, M. SaracenoMar 23, 1999
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Chaotization of the Supercritical Atom
Chaotization of supercritical (Z>137) hydrogenlike atom in the monochromatic field is investigated. A theoretical analysis of chaotic dynamics of the relativistic electron based on Chirikov criterion…
D. U. MatrasulovMar 23, 1999
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Anomalous Scaling in a Model of Hydrodynamic Turbulence with a Small Parameter
The major difficulty in developing theories for anomalous scaling in hydrodynamic turbulence is the lack of a small parameter. In this Letter we introduce a shell model of turbulence that exhibits…
Daniela Pierotti, Victor S. L'vov, Anna Pomyalov et al.Mar 23, 1999
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Non-Integrability and Infinite Branching of Solutions of 2DOF Hamiltonian Systems in Complex Plane of Time
It has been proved by S.L.Ziglin, for a large class of 2-degree-of-freedom (d.o.f) Hamiltonian systems, that transverse intersections of the invariant manifolds of saddle fixed points imply infinite…
Vassilios M. Rothos, Tassos C. BountisMar 23, 1999
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Anisotropic non-perturbative zero modes for passively advected magnetic fields
A first analytic assessment of the role of anisotropic corrections to the isotropic anomalous scaling exponents is given for the d-dimensional kinematic magneto-hydrodynamics problem in the…
Alessandra Lanotte, Andrea MazzinoMar 19, 1999
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Geometrical approach to the distribution of the zeroes for the Husimi function
We construct a semiclassical expression for the Husimi function of autonomous systems in one degree of freedom, by smoothing with a Gaussian function an expression that captures the essential…
Fabricio Toscano, Alfredo M. Ozorio de AlmeidaMar 19, 1999
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Thermostating by Deterministic Scattering: Heat and Shear Flow
We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system…
C. Wagner, R. Klages, G. NicolisMar 19, 1999
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Escape from intermittent repellers- Periodic orbit theory for crossover from exponential to algebraic decay
We apply periodic orbit theory to study the asymptotic distribution of escape times from an intermittent map. The dynamical zeta function exhibits a branch point which is associated with an…
Per DahlqvistMar 18, 1999
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Porosities and dimensions of measures
We introduce a concept of porosity for measures and study relations between dimensions and porosities for two classes of measures: measures on Rn which satisfy the doubling condition and strongly…
Jean-Pierre Eckmann, Esa Jarvenpaa, Maarit JarvenpaaMar 17, 1999
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Daisy Models: Semi-Poisson statistics and beyond
Semi-Poisson statistics are shown to be obtained by removing every other number from a random sequence. Retaining every (r+1)th level we obtain a family of secuences which we call daisy models. Their…
H. Hernandez-Saldaña, J. Flores, T. H. SeligmanMar 17, 1999
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Escape Time Weighting of Unstable Stationary Solutions of Spatiotemporal Chaos
By computing 254 unstable stationary solutions of the Kuramoto-Sivashinsky equation in the extensive chaos regime (Lyapunov fractal dimension D=8.8), we find that 30% satisfy the symmetry of the…
Scott M. ZoldiMar 17, 1999
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High Rayleigh number turbulent convection in a gas near the gas-liquid critical point
SF6 in the vicinity of its critical point was used to study turbulent convection up to exceptionally high Rayleigh numbers, Ra, (up to 5· 1014) and to verify for the first time the…
Sh. Ashkenazi, V. SteinbergMar 16, 1999
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Interference phenomena in scalar transport induced by a noise finite correlation time
The role played on the scalar transport by a finite, not small, correlation time, τu, for the noise velocity is investigated, both analytically and numerically. For small τu's a mechanism…
A. Mazzino, P. CastiglioneMar 15, 1999
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An approximate renormalization-group transformation for Hamiltonian systems with three degrees of freedom
We construct an approximate renormalization transformation that combines Kolmogorov-Arnold-Moser (KAM)and renormalization-group techniques, to analyze instabilities in Hamiltonian systems with three…
C. Chandre, H. R. Jauslin, G. Benfatto et al.Mar 15, 1999
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Linear Parabolic Maps on the Torus
We investigate linear parabolic maps on the torus. In a generic case these maps are non-invertible and discontinuous. Although the metric entropy of these systems is equal to zero, their dynamics is…
Karol Zyczkowski, Takashi NishikawaMar 12, 1999
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Noise-free Stochastic Resonance in Simple Chaotic Systems
The phenomenon of Stochastic Resonance (SR) is reported in a completely noise-free situation, with the role of thermal noise being taken by low-dimensional chaos. A one-dimensional, piecewise linear…
Sitabhra SinhaMar 12, 1999
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