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Chaotic Dynamics papers — page 13

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Quantization of a billiard model for interacting particles
We consider a billiard model of a self-bound, interacting three-body system in two spatial dimensions. Numerical studies show that the classical dynamics is chaotic. The corresponding quantum system…
Thomas Papenbrock, Tomaz ProsenMay 6, 1999
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Intermittency corrections to the mean square particle acceleration in high Reynolds number turbulence
The mean square particle acceleration in high Reynolds number turbulence is dominated by the mean square pressure gradient. Recent experiments by Voth et al [Phys. Fluids 10, 2268 (1998)]…
Mark Nelkin, Shiyi ChenMay 5, 1999
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Correlations of electromagnetic fields in chaotic cavities
We consider the fluctuations of electromagnetic fields in chaotic microwave cavities. We calculate the transversal and longitudinal correlation function based on a random wave assumption and compare…
B. Eckhardt, U. Dörr, U. Kuhl et al.May 5, 1999
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Stationarity and Redundancy of Multichannel EEG Data Recorded During Generalized Tonic-Clonic Seizures
A prerequisite for applying some signal analysis methods to electroencephalographic (EEG) data is that the data be statistically stationary. We have investigated the stationarity of 21-electrode…
Scott M. Zoldi, Andrew Krystal, Henry S. GreensideMay 4, 1999
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The Control of high-dimensional Chaos in Time-Delay Systems
We present the control of the high-dimensional chaos, with possibly a large number of positive Lyapunov-exponents, of unknown time-delay systems to an arbitrary goal dynamics. We give an…
M. J. BünnerMay 3, 1999
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Stability Exponents, Separation of Variables, and Lyapunov Transforms
The problem of formulating self-consistent local and global stability exponents is shown to require global separation of variables. Posing the separation of variable problem, we see that many such…
William E. WieselMay 3, 1999
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Deciphering Secure Chaotic Communication
A simple technique for decoding an unknown modulated chaotic time-series is presented. We point out that, by fitting a polynomial model to the modulated chaotic signal, the error in the fit gives…
C. MathiazhaganMay 3, 1999
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Non Asymptotic Properties of Transport and Mixing
We study relative dispersion of passive scalar in non-ideal cases, i.e. in situations in which asymptotic techniques cannot be applied; typically when the characteristic length scale of the Eulerian…
G. Boffetta, A. Celani, M. Cencini et al.Apr 29, 1999
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Transition to turbulence in a shear flow
We analyze the properties of a 19 dimensional Galerkin approximation to a parallel shear flow. The laminar flow with a sinusoidal shape is stable for all Reynolds numbers Re. For sufficiently large…
Bruno Eckhardt, Alois MersmannApr 28, 1999
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Distribution of Husimi Zeroes in Polygonal Billiards
The zeroes of the Husimi function provide a minimal description of individual quantum eigenstates and their distribution is of considerable interest. We provide here a numerical study for pseudo-…
Debabrata Biswas, Sudeshna SinhaApr 26, 1999
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Random Roughness of Boundary Increases Turbulent Convection Scaling Exponent
The influence of the boundary layer properties on the heat transport in turbulent thermal convection is experimentally investigated in a cell with a rough bottom plate.It is shown that the standard…
S. Ciliberto, C. LarocheApr 26, 1999
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Extracting and Stabilizing the Unstable State of Hysteresis Loop
A novel perturbation method for the stabilization of unstable intermediate states of hysteresis loop (i.e. S-shaped curve) is proposed. This method only needs output signals of the system to…
Liu Yaowen, Ping Huican, Zhao Hong et al.Apr 25, 1999
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Self-similarity in a system with short-time delayed feedback
Using the Poincaré section technique, we study in detail the dynamical behaviors of delay differential system and find a new type of solutions Si in short-time delay feedback. Our numerical…
Liu Yaowen, Li Haibin, Zhao Hong et al.Apr 25, 1999
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Power Laws in Solar Flares: Self-Organized Criticality or Turbulence?
We study the time evolution of Solar Flares activity by looking at the statistics of quiescent times τL between successive bursts. The analysis of 20 years of data reveals a power law…
Guido Boffetta, Vincenzo Carbone, Paolo Giuliani et al.Apr 23, 1999
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Microscopic chaos from Brownian motion?
A recent experiment on Brownian motion has been interpreted to exhibit direct evidence for microscopic chaos. In this note we demonstrate that virtually identical results can be obtained numerically…
C. P. Dettmann, E. G. D. Cohen, H. van BeijerenApr 22, 1999
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Quantization of multidimensional cat maps
In this work we study cat maps with many degrees of freedom. Classical cat maps are classified using the Cayley parametrization of symplectic matrices and the closely associated center and chord…
A. M. F. Rivas, M. Saraceno, A. M. Ozorio de AlmeidaApr 22, 1999
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Semiclassical Non-Trace Type Formulas for Matrix Element Fluctuations and Weighted Densities of States
Densities of states weighted with the diagonal matrix elements of two operators A and B, i.e., rho(A,B)(E) = sumn <n|A|n><n|B|n> delta(E-En) cannot, in general, be written as a trace formula, and…
J. Main, G. WunnerApr 22, 1999
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Semiclassical quantization with short periodic orbits
We apply a recently developed semiclassical theory of short peridic orbits to the stadium billiard. We give explicit expresions for the resonances of periodic orbits and for the application of the…
Eduardo G. Vergini, Gabriel CarloApr 22, 1999
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Semiclassical Theory of Short Periodic Orbits in Quantum Chaos
We have developed a semiclassical theory of short periodic orbits to obtain all quantum information of a bounded chaotic Hamiltonian system. If T1 is the period of the shortest periodic orbit, T2…
Eduardo G. VerginiApr 22, 1999
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Chaos as a basis of new principle for detecting the gravitational waves
A particular example of chaos can be conceived in the interaction of non-linear oscillator with a harmonic gravitational wave. When we replace the linear potential forces by the therm SIN(x), the…
G. V. VlasovApr 22, 1999
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Influence of Friction on the Direct Cascade of the 2d Forced Turbulence
We discuss two possible scenario for the direct cascade in two dimensional turbulent systems in presence of friction which differ by the presence or not of enstrophy dissipation in the inviscid…
Denis BernardApr 20, 1999
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Porosities and dimensions of measures satisfying the doubling condition
Summary of a talk at the conference The Chaotic Universe in Rome, Feb, 1999
Jean-Pierre Eckmann, Esa Jarvenpaa, Maarit JarvenpaaApr 20, 1999
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KAM Tori for 1D Nonlinear Wave Equations with Periodic Boundary Conditions
In this paper, one-dimensional (1D) nonlinear wave equations utt -uxx+V(x)u =f(u), with periodic boundary conditions are considered; V is a periodic smooth or analytic function and the…
Luigi Chierchia, Jaingong YouApr 20, 1999
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Birth of resonances in the spin-orbit problem of Celestial Mechanics
The behaviour of resonances in the spin-orbit coupling in Celestial Mechanics is investigated. We introduce a Hamiltonian nearly-integrable model describing an approximation of the spin-orbit…
Alessandra Celletti, Luigi ChierchiaApr 20, 1999
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Helicoidal model for DNA opening
We present a new dynamical model of DNA. This model has two degrees of freedom per base-pair: one radial variable related to the opening of the hydrogen bonds and an angular one related to the…
Maria Barbi, Simona Cocco, Michel PeyrardApr 19, 1999
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