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Chaotic Dynamics papers — page 71

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Resummation of classical and semiclassical periodic orbit formulas
The convergence properties of cycle expanded periodic orbit expressions for the spectra of classical and semiclassical time evolution operators have been studied for the open three disk billiard. We…
Bruno Eckhardt, Gunnar RussbergMar 11, 1993
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Flame Propagation Through Swirling Eddys, A Recursive Pattern
Computed flame motion through and between swirling eddys exhibits a maximum advancement rate which is related to the time duration of flame motion between eddys. This eddy spatial structure effect…
Wm. T. AshurstMar 11, 1993
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Phase shift in experimental trajectory scaling functions
For one dimensional maps the trajectory scaling functions is invariant under coordinate transformations and can be used to compute any ergodic average. It is the most stringent test between theory…
Ronnie Mainieri, Robert E. EckeMar 10, 1993
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Continued-fraction expansion of eigenvalues of generalized evolution operators in terms of periodic orbits
A new expansion scheme to evaluate the eigenvalues of the generalized evolution operator (Frobenius-Perron operator) Hq relevant to the fluctuation spectrum and poles of the order-q power…
Hirokazu Fujisaka, Hideto Shigematsu, Bruno EckhardtMar 9, 1993
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Chaotic Traveling Waves in a Coupled Map Lattice
Traveling waves triggered by a phase slip in coupled map lattices are studied. A local phase slip affects globally the system, which is in strong contrast with kink propagation. Attractors with…
Kunihiko KanekoMar 8, 1993
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S-matrix Fluctuations in a model with Classical Diffusion and Quantum Localization
The statistics of S-matrix fluctuations are numerically investigated on a model for irregular quantum scattering in which a classical chaotic diffusion takes place within the interaction region.…
Fausto Borgonovi, Italo GuarneriMar 8, 1993
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Hypersensitivity to Perturbations in the Quantum Baker's Map
We analyze a randomly perturbed quantum version of the baker's transformation, a prototype of an area-conserving chaotic map. By numerically simulating the perturbed evolution, we estimate the…
R. Schack, C. M. CavesMar 6, 1993
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Far Dissipation Range of Turbulence
The very small scales of isotropic, Navier-Stokes turbulence at Reynolds number Rλ≈ 15 are studied by high-resolution direct numerical simulation (DNS) and by integration of the…
Shiyi Chen, Gary Doolen, Jackson R. Herring et al.Mar 4, 1993
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On the equality of Hausdorff and box counting dimensions
By viewing the covers of a fractal as a statistical mechanical system, the exact capacity of a multifractal is computed. The procedure can be extended to any multifractal described by a scaling…
Ronnie MainieriMar 3, 1993
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Teardrop and heart orbits of a swinging Atwood's Machine
An exact solution is presented for a swinging Atwood's machine. This teardrop-heart orbit is constructed using Hamilton-Jacobi theory. The example nicely illustrates the utility of the…
Nicholas B. TufillaroFeb 23, 1993
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Cycles and Circles in Roundoff Errors
When a series of measurements is performed with increasingly coarse (or increasingly fine) precision, consecutive observations seem to be erratically distributed at first, and then organize…
George G. SzpiroFeb 23, 1993
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Can averaged orbits be used to extract scaling functions?
Trajectory scaling functions are the basic element in the study of chaotic dynamical systems, from which any long time average can be computed. It has never been extracted from an experimental time…
Ronnie MainieriFeb 17, 1993
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Steady-State Electrical Conduction in the Periodic Lorentz Gas
We study nonequilibrium steady states in the Lorentz gas of periodic scatterers when an external field is applied and the particle kinetic energy is held fixed by a ``thermostat'' constructed…
N. I. Chernov, G. L. Eyink, J. L. Lebowitz et al.Feb 8, 1993
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Periodic Orbit Theory of Anomalous Diffusion
We introduce a novel technique to find the asymptotic time behaviour of deterministic systems exhibiting anomalous diffusion. The procedure is tested for various classes of simple but physically…
Roberto Artuso, Giulio Casati, Roberto LombardiFeb 5, 1993
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Topological organization of (low-dimensional) chaos
Recent progress toward classifying low-dimensional chaos measured from time series data is described. This classification theory assigns a template to the time series once the time series is embedded…
Nicholas B. TufillaroFeb 3, 1993
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Symbolic dynamics III. Bifurcations in billiards and smooth potentials
The singular bifurcations in a dispersive billiard are discussed in terms of symbolic dynamics and is compared to an example of a bifurcation tree in a smooth potential. Possible generalizations to…
Kai T. HansenJan 19, 1993
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Symbolic dynamics II. The stadium billiard
We construct a well ordered symbolic dynamics plane for the stadium billiard. In this symbolic plane the forbidden and the allowed orbits are separated by a monotone pruning front, and allowed orbits…
Kai T. HansenJan 19, 1993
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Symbolic dynamics I. Finite dispersive billiards
Orbits in different dispersive billiard systems, e.g. the 3 disk system, are mapped into a topological well ordered symbol plane and it is showed that forbidden and allowed orbits are separated by a…
Kai T. HansenJan 19, 1993
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An alternative to Plemelj-Smithies formulas on infinite determinants
An alternative to Plemelj - Smithies formulas for the p -regularized quantities d(p)(K) and D(p)(K) is presented which generalizes previous expressions with p=1 due to Grothendieck and…
Domingos H. U. MarchettiJan 11, 1993
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Zeta function for the Lyapunov exponent of a product of random matrices
A cycle expansion for the Lyapunov exponent of a product of random matrices is derived. The formula is non-perturbative and numerically effective, which allows the Lyapunov exponent to be computed to…
Ronnie MainieriJan 11, 1993
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