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Chaotic Dynamics papers — page 21

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Fluctuations in 2D reversibly-damped turbulence
Gallavotti proposed an equivalence principle in hydrodynamics, which states that forced-damped fluids can be equally well represented by means of the Navier-Stokes equations and by means of time…
Lamberto Rondoni, Enrico SegreOct 22, 1998
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Large scale instabilities in two-dimensional magnetohydrodynamics
The stability of a sheared magnetic field is analyzed in two-dimensional magnetohydrodynamics with resistive and viscous dissipation. Using a multiple-scale analysis, it is shown that at large enough…
G. Boffetta, A. Celani, R. PrandiOct 21, 1998
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Time Delay Effects on Coupled Limit Cycle Oscillators at Hopf Bifurcation
We present a detailed study of the effect of time delay on the collective dynamics of coupled limit cycle oscillators at Hopf bifurcation. For a simple model consisting of just two oscillators with a…
D. V. Ramana Reddy, A. Sen, G. L. JohnstonOct 20, 1998
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Correlation functions in isotropic and anisotropic turbulence: the role of the symmetry group
The theory of fully developed turbulence is usually considered in an idealized homogeneous and isotropic state. Real turbulent flows exhibit the effects of anisotropic forcing. The analysis of…
Itai Arad, Victor S. L'vov, Itamar ProcacciaOct 20, 1998
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Coupled Microwave Billiards as a Model for Symmetry Breaking
Two superconducting microwave billiards have been electromagnetically coupled in a variable way. The spectrum of the entire system has been measured and the spectral statistics analyzed as a function…
H. Alt, C. I. Barbosa, H. -D. Graef et al.Oct 19, 1998
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Systematic Computation of the Least Unstable Periodic Orbits in Chaotic Attractors
We show that a recently proposed numerical technique for the calculation of unstable periodic orbits in chaotic attractors is capable of finding the least unstable periodic orbits of any given order.…
Fotis K. Diakonos, Peter Schmelcher, O. BihamOct 15, 1998
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Anomalous Scaling from Controlled Closure in a Shell Model of Turbulence
We present a model of hydrodynamic turbulence for which the program of computing the scaling exponents from first principles can be developed in a controlled fashion. The model consists of N…
Victor S. L'vov, Daniela Pierotti, Anna Pomyalov et al.Oct 15, 1998
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Lyapunov exponents from geodesic spread in configuration space
The exact form of the Jacobi -- Levi-Civita (JLC) equation for geodesic spread is here explicitly worked out at arbitrary dimension for the configuration space manifold ME = q in RN | V(q) < E of…
Monica Cerruti-Sola, Roberto Franzosi, Marco PettiniOct 15, 1998
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Notes about Passive Scalar in Large-Scale Velocity Field
We consider advection of a passive scalar theta(t,r) by an incompressible large-scale turbulent flow. In the framework of the Kraichnan model the whole PDF's (probability distribution functions)…
I. Kolokolov, V. Lebedev, M. StepanovOct 15, 1998
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Band Distributions for Quantum Chaos on the Torus
Band distributions (BDs) are introduced describing quantization in a toral phase space. A BD is the uniform average of an eigenstate phase-space probability distribution over a band of toral boundary…
Itzhack Dana, Mario Feingold, Michael WilkinsonOct 14, 1998
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Self-Organized Criticality in Daily Incidence of Acute Myocardial Infarction
Continuous periodogram power spectral analysis of daily incidence of acute myocardial infarction (AMI) reported at a leading hospital for cardiology in Pune, India for the two-year period June 1992…
A. M. Selvam, D. Sen, S. M. S. ModyOct 14, 1998
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Chaos in coplanar classical collisions with particles interacting through 1/r2 forces
The scattering among three particles interacting through 1/r2 forces, with opposite charges and widely different masses, is studied in a coplanar geometry. The present work shows that at low…
F. Sattin, L. SalasnichOct 13, 1998
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The color-flavor transformation and a new approach to quantum chaotic maps
The color-flavor transformation is a mathematical result that has applications to problems as diverse as lattice gauge theory, random network models, and dynamical systems. Several variants are…
Martin R. ZirnbauerOct 13, 1998
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Is Weather Chaotic?
The correlation dimension and K2-entropy are estimated from meteorological time- series. The results lead us to claim that seasonal variability of weather is under influence of low dimensional…
Ales RaidlOct 13, 1998
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Recent Developments in the Theory of Scarring
We review recent progress in attaining a quantitative understanding of the scarring phenomenon, the non-random behavior of quantum wavefunctions near unstable periodic orbits of a classically chaotic…
L. KaplanOct 10, 1998
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Constructing transportable behavioural models for nonlinear electronic devices
We use radial basis functions to model the input--output response of an electronic device. A new methodology for producing models that accuratly describe the response of the device over a wide range…
David M. Walker, R. Brown, N. B. TufillaroOct 9, 1998
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Cantorian Fractal Patterns, Quantum-Like Chaos and Prime Numbers in Atmospheric Flows
Atmospheric flows exhibit cantorian fractal space-time fluctuations signifying long-range spatiotemporal correlations. A recently developed cell dynamical system model shows that such non-local…
A. M. Selvam, Suvarna FadnavisOct 9, 1998
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Canonical structure of renormalization group equations and separability of Hamiltonian systems
We investigate perturbed Hamiltonian systems with two degrees of freedom by renormalization group method, which derives a reduced equation called renormalization group equation (RGE) by handling…
Yoshiyuki Y. Yamaguchi, Yasusada NambuOct 7, 1998
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KAM--renormalization-group for Hamiltonian systems with two degrees of freedom
We review a formulation of a renormalization-group scheme for Hamiltonian systems with two degrees of freedom. We discuss the renormalization flow on the basis of the continued fraction expansion of…
C. Chandre, H. R. JauslinOct 2, 1998
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Discrimination between Healthy and Sick Cardiac Autonomic Nervous System by Detrended Heart Rate Variability Analysis
Multiresolution Wavelet Transform and Detrended Fluctuation Analysis have been recently proven as excellent methods in the analysis of Heart Rate Variability, and in distinguishing between healthy…
Y. Ashkenazy, M. Lewkowicz, J. Levitan et al.Oct 1, 1998
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Phenomenology of Globally Coupled Map Lattice and its Extension
We revisit the globally coupled map lattice (GCML) and also propose a new extended globally coupled map lattice (EGCML) with an inverse power law interaction. In GCML we clarify the mechanism of the…
Tokuzo ShimadaOct 1, 1998
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Topological aspects of chaotic scattering in higher dimensions
We investigate the topological properties of invariant sets associated with the dynamics of scattering systems with three or more degrees of freedom. We show that the asymptotic separation of one…
Zoltan Kovacs, Laurent WiesenfeldSep 30, 1998
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Practical implementation of nonlinear time series methods: The TISEAN package
Nonlinear time series analysis is becoming a more and more reliable tool for the study of complicated dynamics from measurements. The concept of low-dimensional chaos has proven to be fruitful in the…
Rainer Hegger, Holger Kantz, Thomas SchreiberSep 30, 1998
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H atom in elliptically polarized microwaves: Semiclassical versus quantum resonant dynamics
The dynamics of Rydberg states of atomic hydrogen illuminated by resonant elliptically polarized microwaves is investigated both semiclassically and quantum mechanically in a simplified…
Krzysztof Sacha, Jakub ZakrzewskiSep 29, 1998
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Quantum weak chaos in a degenerate system
Quantum weak chaos is studied in a perturbed degenerate system --- a charged particle interacting with a monochromatic wave in a transverse magnetic field. The evolution operator for an arbitrary…
V. Ya. Demikhovskii, D. I. Kamenev, G. A. Luna-AcostaSep 27, 1998
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