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Chaotic Dynamics papers — page 26

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Different routes to chaos via strange nonchaotic attractor in a quasiperiodically forced system
This paper focusses attention on the strange nonchaotic attractors (SNA) of a quasiperiodically forced dynamical system. Several routes, including the standard ones by which the appearance of strange…
A. Venkatesan, M. LakshmananJun 5, 1998
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Periodic Orbit theory for Resonant Tunneling Diodes : comparison with quantum and experimental results
We investigate whether the quantal and experimental amplitudes of current oscillations of Resonant Tunneling Diodes in tilted fields are obtainable from Periodic Orbit (PO) theories by considering…
D. S. Saraga, T. S. Monteiro, D. C. RoubenJun 4, 1998
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Kolmogorov-Sinai entropy-rate vs. physical entropy
This paper elucidates the connection between the KS entropy-rate kappa and the time evolution of the physical or statistical entropy S. For a large family of chaotic conservative dynamical systems…
Vito Latora, Michel BarangerJun 3, 1998
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Linear Stochastic Models of Nonlinear Dynamical Systems
We investigate in this work the validity of linear stochastic models for nonlinear dynamical systems. We exploit as our basic tool a previously proposed Rayleigh-Ritz approximation for the effective…
Gregory L. EyinkJun 3, 1998
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A Superstring Theory for Fractal Spacetime, Chaos and Quantumlike Mechanics in Atmospheric Flows
Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power law form for spectra of temporal…
A. M. Selvam, Suvarna FadnavisJun 3, 1998
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Renormalization group and anomalous scaling in a simple model of passive scalar advection in compressible flow
Field theoretical renormalization group methods are applied to a simple model of a passive scalar quantity advected by the Gaussian non-solenoidal (``compressible'') velocity field with the…
Loran Ts. Adzhemyan, Nikolaj V. AntonovJun 2, 1998
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Tunneling rate fluctuations induced by non-linear resonances: a quantitative treatment based on semiclassical arguments
We investigate the tunneling process between two symmetric stable islands of a forced pendulum Hamiltonian in the weak chaos regime. We show that when the tunneling doublet is quantized over a…
Luca Bonci, Andrea Farusi, Paolo Grigolini et al.Jun 1, 1998
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Quasicrystalline Pattern Formation in Fluid Substrates and Phyllotaxis
Phyllotactic patterns possess the quasicrystalline structure of the quasiperiodic Penrose tiling pattern. The author has shown that quasicrystalline structure of the quasiperiodic Penrose tiling…
A. Mary SelvamJun 1, 1998
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Time Delay Induced Death in Coupled Limit Cycle Oscillators
We investigate the dynamical behaviour of two limit cycle oscillators that interact with each other via time delayed coupling and find that time delay can lead to amplitude death of the oscillators…
D. V. Ramana Reddy, A. Sen, G. L. JohnstonMay 28, 1998
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Signatures of a Universal Spectrum for Atmospheric Interannual Variability in Some Disparate Climatic Regimes
Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power law form for power spectra of…
A. M. Selvam, S. FadnavisMay 28, 1998
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Strong Turbulence in d-Dimensions
In the limit d∞ the role of pressure gradients and that of the incompressibility constraint decreases, thus blurring the difference between transverse and longitudinal velocity correlation…
Victor YakhotMay 27, 1998
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Chaotic Interaction of Langmuir Solitons and Long Wavelength Radiation
In this work we analyze the interaction of isolated solitary structures and ion-acoustic radiation. If the radiation amplitude is small solitary structures persists, but when the amplitude grows…
R. Erichsen, G. I. de Oliveira, F. B. RizzatoMay 26, 1998
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Nonlinear projective filtering I: Application to real time series
We discuss applications of nonlinear filtering of time series by locally linear phase space projections. Noise can be reduced whenever the error due to the manifold approximation is smaller than the…
T. Schreiber, H. KantzMay 26, 1998
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Nonlinear projective filtering I: Background in chaos theory
We derive a locally projective noise reduction scheme for nonlinear time series using concepts from deterministic dynamical systems, or chaos theory. We will demonstrate its effectiveness with an…
H. Kantz, T. SchreiberMay 26, 1998
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On a Linear Chaotic Quantum Harmonic Oscillator
We show that a linear quantum harmonic oscillator is chaotic in the sense of Li-Yorke. We also prove that the weighted backward shift map, used as an infinite dimensional linear chaos model, in a…
Jinqiao Duan, Xin-Chu Fu, Pei-De Liu et al.May 25, 1998
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Infinite-Dimensional Linear Dynamical Systems with Chaoticity
The authors present two results on infinite-dimensional linear dynamical systems with chaoticity. One is about the chaoticity of the backward shift map in the space of infinite sequences on a general…
Xin-Chu Fu, Jinqiao DuanMay 25, 1998
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Passive Tracer Dispersion with Random or Periodic Source
In this paper, the author investigates the impact of external sources on the pattern formation and long-time behavior of concentration profiles of passive tracers in a two-dimensional shear flow. It…
Jinqiao DuanMay 25, 1998
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Quantum baker map on the sphere
We define a class of dynamical systems on the sphere analogous to the baker map on the torus. The classical maps are characterized by dynamical entropy equal to ln 2. We construct and investigate a…
Prot Pakonski, Andrzej Ostruszka, Karol ZyczkowskiMay 23, 1998
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An Approximate KAM-Renormalization-Group Scheme for Hamiltonian Systems
We construct an approximate renormalization scheme for Hamiltonian systems with two degrees of freedom. This scheme is a combination of Kolmogorov-Arnold-Moser (KAM) theory and renormalization-group…
C. Chandre, H. R. Jauslin, G. BenfattoMay 22, 1998
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WKB for a damped spin
The master equation for a damped spin well known from the theory of superradiance, is written as a finite-difference equation and solved by a WKB-like method. The propagator thus obtained looks like…
Petr A. Braun, Daniel Braun, Fritz HaakeMay 22, 1998
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Noise-induced Input Dependence in a Convective Unstable Dynamical System
Unidirectionally coupled dynamical system is studied by focusing on the input (or boundary) dependence. Due to convective instability, noise at an up-flow is spatially amplified to form an…
Koichi Fujimoto, Kunihiko KanekoMay 20, 1998
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Feigenbaum networks
We study dynamical systems composed of a set of linearly coupled quadratic maps which, if uncoupled, would be on the Feigenbaum accumulation point. For two units we prove the existence of an infinite…
Rui Carvalho, R. Vilela Mendes, Joao SeixasMay 20, 1998
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Analysis of Rayleigh-Plesset dynamics for sonoluminescing bubbles
Recent work on single bubble sonoluminescence (SBSL) has shown that many features of this phenomenon, especially the dependence of SBSL intensity and stability on experimental parameters, can be…
Sascha Hilgenfeldt, Michael P. Brenner, Siegfried Grossmann et al.May 18, 1998
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Globally coupled maps with asynchronous updating
We analyze a system of globally coupled logistic maps with asynchronous updating. We show that its dynamics differs considerably from that of the synchronous case. For growing values of the coupling…
Guillermo Abramson, Damian H. ZanetteMay 14, 1998
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Characteristic Relations of Type-III Intermittency in an Electronic Circuit
It is reported that the characteristic relations of type-II and type-III intermittencies, with respective local Poincare maps of xn+1= (1+ε)xn + a x3n and $xn+1= - (1+ε)xn - a…
Chil-Min Kim, Geo-Su Yim, Jung-Wan Ryu et al.May 14, 1998
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