The effects of large scales on the inertial range in high-Reynolds-number turbulenceThe effects of removing large scales external to the inertial range on the properties of scales within the inertial range are studied in a high-Reynolds-number turbulent flow. Structure functions of…Katepalli R. Sreenivasan, Brindesh Dhruva, Inigo San Gil·Jun 24, 1999SaveLearn
Kinetic Theory of Dynamical SystemsIt is generally believed that the dynamics of simple fluids can be considered to be chaotic, at least to the extent that they can be modeled as classical systems of particles interacting with short…R. van Zon, H. van Beijeren, J. R. Dorfman·Jun 24, 1999SaveLearn
Evolution of Multispecificity in an Immune NetworkDivergence in antigen response of the immune network is discussed, based on shape-space modelling. The present model extends the shape-space model by introducing the evolution of specificity of…K. Harada, T. Ikegami·Jun 24, 1999SaveLearn
The Scaling Structure of the Velocity Statistics in Atmospheric Boundary LayerThe statistical objects characterizing turbulence in real turbulent flows differ from those of the ideal homogeneous isotropic model.They containcontributions from various 2d and 3d aspects, and from…Susan Kurien, Victor S. L'vov, Itamar Procaccia et al.·Jun 24, 1999SaveLearn
Aubry-Mather theory and idempotent eigenfunctions of the Bellman operatorWe establish a connection between the Aubry-Mather theory of invariant sets of a 1D dynamical system described by a Lagrangian with potential periodic in space and time, on the one hand, and…Andrei Sobolevskii·Jun 23, 1999SaveLearn
Random dynamical systems, entropies and informationPrediction of events is the challenge in many different disciplines, from meteorology to finance; the more this task is difficult, the more a system is complex. Nevertheless, even according to…Maurizio Serva·Jun 23, 1999SaveLearn
Determination of the proper embedding parameters for noisy time seriesWe suggest an algorithm for determining the proper delay time and the minimum embedding dimension for Takens' delay-time embedding procedure. This method resorts to the rate of change of the…Jeong-No Lee, Kwang-Sup Soh·Jun 23, 1999SaveLearn
Chaotic Oscillations in Finite Quantum Systems: Trapped Bose-Einstein CondensatesWe discuss the recently achieved Bose-Einstein condensation for alkali-metal atoms in magnetic traps. The theoretically predicted low-energy collective oscillations of the condensate have been…Luca Salasnich·Jun 22, 1999SaveLearn
Controlling a leaky tapWe apply the Ott, Grebogy and Yorke mechanism for the control of chaos to the analytical oscillator model of a leaky tap obtaining good results. We exhibit the robustness of the control against both…Aquiles Ilarraza-Lomelí, C. M. Arizmendi, A. L. Salas-Brito·Jun 21, 1999SaveLearn
Experimental vs. Numerical Eigenvalues of a Bunimovich Stadium Billiard -- A ComparisonWe compare the statistical properties of eigenvalue sequences for a gamma=1 Bunimovich stadium billiard. The eigenvalues have been obtained by two ways: one set results from a measurement of the…H. Alt, C. Dembowski, H. -D. Graef et al.·Jun 21, 1999SaveLearn
Hamiltonian for a restricted isoenergetic thermostatNonequilibrium molecular dynamics simulations often use mechanisms called thermostats to regulate the temperature. A Hamiltonian is presented for the case of the isoenergetic (constant internal…C. P. Dettmann·Jun 17, 1999SaveLearn
Small-scale turbulent dynamoKinematic dynamo theory is presented here for turbulent conductive fluids. We describe how inhomogeneous magnetic fluctuations are generated below the viscous scale of turbulence where the spatial…M. Chertkov, G. Falkovich, I. Kolokolov et al.·Jun 17, 1999SaveLearn
Chaotic advection of reacting substances: Plankton dynamics on a meandering jetWe study the spatial patterns formed by interacting populations or reacting chemicals under the influence of chaotic flows. In particular, we have considered a three-component model of plankton…Cristobal Lopez, Zoltan Neufeld, Emilio Hernandez-Garcia et al.·Jun 17, 1999SaveLearn
Hyperchaos in the generalized R"ossler systemIntroduced as a model for hyperchaos, the generalized R"ossler system of dimension N is obtained by linearly coupling N-3 additional degrees of freedom to the original R"ossler equation.…Th. Meyer, M. J. Bünner, A. Kittel et al.·Jun 15, 1999SaveLearn
A Tool to Recover Scalar Time-Delay Systems from Experimental Time SeriesWe propose a method that is able to analyze chaotic time series, gained from exp erimental data. The method allows to identify scalar time-delay systems. If the dynamics of the system under…M. J. Bünner, M. Popp, Th. Meyer et al.·Jun 15, 1999SaveLearn
On the Field Theoretical Approach to the Anomalous Scaling in TurbulenceAnomalous scaling problem in the stochastic Navier-Stokes equation is treated in the framework of the field theoretical approach, successfully applied earlier to the Kraichnan rapid advection model.…Anton V. Runov·Jun 15, 1999SaveLearn
Dynamics near Resonance Junctions in Hamiltonian SystemsAn approximate Poincare map near equally strong multiple resonances is reduced by means the method of averaging. Near the resonance junction of three degrees of freedom, we find that some homoclinic…Shin-itiro Goto, Kazuhiro Nozaki·Jun 15, 1999SaveLearn
Fluctuations and Ergodicity of the Form Factor of Quantum Propagators and Random Unitary MatricesWe consider the spectral form factor of random unitary matrices as well as of Floquet matrices of kicked tops. For a typical matrix the time dependence of the form factor looks erratic; only after a…Fritz Haake, Hans-Juergen Sommers, Joachim Weber·Jun 14, 1999SaveLearn
Resource Letter TF-1: Turbulence in FluidsThis Resource Letter provides a guide to the literature on fully developed turbulence in fluids. It is restricted to mechanically driven turbulence in an incompressible fluid described by the…Mark Nelkin·Jun 14, 1999SaveLearn
Characteristic distributions of finite-time Lyapunov exponentsWe study the probability densities of finite-time or Lyapunov exponents (LLEs) in low-dimensional chaotic systems. While the multifractal formalism describes how these densities behave in the…Awadhesh Prasad, Ramakrishna Ramaswamy·Jun 14, 1999SaveLearn
The Intersection Angles between N-Dimensional Stable and Unstable Manifolds in 2N-Dimensional Symplectic MappingsWe asymptotically compute the intersection angles between N-dimensional stable and unstable manifolds in 2N-dimensional symplectic mappings. There exist particular 1-dimensional stable and unstable…Yoshihiro Hirata, Kazuhiro Nozaki, Tetsuro Konishi·Jun 14, 1999SaveLearn
The Bispectral Aliasing Test: A Clarification and Some Key ExamplesControversy regarding the correctness of a test for aliasing proposed by Hinich and Wolinsky has been surprisingly long-lived. Two factors have prolonged this controversy. One factor is the presence…Kevin R. Vixie, Murray Wolinsky, David Sigeti·Jun 11, 1999SaveLearn
Smooth-filamental transition of active tracer fields stirred by chaotic advectionThe spatial distribution of interacting chemical fields is investigated in the non-diffusive limit. The evolution of fluid parcels is described by independent dynamical systems driven by chaotic…Zoltan Neufeld, Cristobal Lopez, Peter H. Haynes·Jun 10, 1999SaveLearn
Quantum Algorithmic Integrability: The Metaphor of Polygonal BilliardsAn elementary application of Algorithmic Complexity Theory to the polygonal approximations of curved billiards-integrable and chaotic-unveils the equivalence of this problem to the procedure of…Giorgio Mantica·Jun 10, 1999SaveLearn
Escape orbits and Ergodicity in Infinite Step BilliardsIn a previous paper we defined a class of non-compact polygonal billiards, the infinite step billiards: to a given decreasing sequence of non-negative numbers \pn, there corresponds a table…Mirko Degli-Esposti, Gianluigi Del Magno, Marco Lenci·Jun 9, 1999SaveLearn