Driven Maps and the Emergence of Ordered Collective Behavior in Globally Coupled MapsA method to predict the emergence of different kinds of ordered collective behaviors in systems of globally coupled chaotic maps is proposed. The method is based on the analogy between globally…A. Parravano, M. G. Cosenza·Jan 7, 1998SaveLearn
Hamilton-Jacobi equation, heteroclinic chains and Arnol'd diffusion in three time scales systemsInteracting systems consisting of two rotators and a point mass near a hyperbolic fixed point are considered, in a case in which the uncoupled systems have three very different characteristic time…Giovanni Gallavotti, Guido Gentile, Vieri Mastropietro·Jan 2, 1998SaveLearn
Transport properties of kicked and quasi-periodic HamiltoniansWe study transport properties of Schrödinger operators depending on one or more parameters. Examples include the kicked rotor and operators with quasi-periodic potentials. We show that the mean…S. De Bièvre, G. Forni·Dec 31, 1997SaveLearn
Turbulence and Multiscaling in the Randomly Forced Navier Stokes EquationWe present an extensive pseudospectral study of the randomly forced Navier-Stokes equation (RFNSE) stirred by a stochastic force with zero mean and a variance k4-d-y, where k is the…Anirban Sain, Manu, Rahul Pandit·Dec 29, 1997SaveLearn
Nonperturbative renormalization group approach to turbulenceWe suggest a new, renormalization group (RG) based, nonperturbative method for treating the intermittency problem of fully developed turbulence which also includes the effects of a finite boundary of…Alexander Esser, Siegfried Grossmann·Dec 28, 1997SaveLearn
Stochastic Responses of the Stable Period-p Orbits in One-Dimensional Noisy Map SystemsWe analytically derive the correlation functions of the stochastic response of period-p orbits in a generic one-dimensional map system under the influence of weak external, additive white noise. Two…Tian-Nan Wang, Rue-Ron Hsu, Han-Tzong Su et al.·Dec 23, 1997SaveLearn
Failure of linear control in noisy coupled map latticesWe study a 1D ring of diffusively coupled logistic maps in the vicinity of an unstable, spatially homogeneous fixed point. The failure of linear controllers due to additive noise is discussed with…David A. Egolf, Joshua E. S. Socolar·Dec 21, 1997SaveLearn
Recurrence Quantification Analysis and Principal Components in the Detection of Short Complex SignalsRecurrence plots were introduced to help aid the detection of signals in complicated data series. This effort was furthered by the quantification of recurrence plot elements. We now demonstrate the…J. P. Zbilut, A. Giuliani, C. L. Webber,·Dec 21, 1997SaveLearn
Random perturbations of chaotic dynamical systems. Stability of the spectrumFor piecewise expanding one-dimensional maps without periodic turning points we prove that isolated eigenvalues of small (random) perturbations of these maps are close to isolated eigenvalues of the…Michael Blank, Gerhard Keller·Dec 18, 1997SaveLearn
Quantum Mechanics and Semiclassics of Hyperbolic n-Disk Scattering SystemsThe scattering problems of a scalar point particle from a finite assembly of n>1 non-overlapping and disconnected hard disks, fixed in the two-dimensional plane, belong to the simplest realizations…Andreas Wirzba·Dec 17, 1997SaveLearn
Review on 'Integrability of the S-Matrix vs Integrability of the Hamiltonian' by C. Jung and T.H. SeligmanWe review the paper 'Integrability of the S-Matrix vs Integrability of the Hamiltonian' by C. Jung and T.H. Seligman (Phys. Rep. 285, 77-141 (1997)). This paper deals with the connection…Luca Salasnich·Dec 16, 1997SaveLearn
Quantum-Classical Correspondence in Energy Space: Two Interacting Spin-ParticlesThe Hamiltonian conservative system of two interacting particles has been considered both in classical and quantum description. The quantum model has been realized using a symmetrized two-particle…Fausto Borgonovi, Italo Guarneri, Felix Izrailev·Dec 16, 1997SaveLearn
Analytical solutions to one-dimensional dissipative and discrete chaotic dynamicsAnalytical solutions to the chaotic and ergodic motion of a certain class of one-dimensional dissipative and discrete dynamical systems are derived. This allows us to obtain exact expressions for…D. Pingel, P. Schmelcher, F. K. Diakonos·Dec 12, 1997SaveLearn
Chaotic dynamics, fluctuations, nonequilibrium ensemblesA review of some recent results and ideas about the expected behaviour of large chaotic systems and fluids.Giovanni Gallavotti·Dec 12, 1997SaveLearn
Collectivity Embedded in Complex Spectra of Finite Interacting Fermi Systems: Nuclear ExampleThe mechanism of collectivity coexisting with chaos in a finite system of strongly interacting fermions is investigated. The complex spectra are represented in the basis of two-particle two-hole…S. Drozdz, S. Nishizaki, J. Speth et al.·Dec 10, 1997SaveLearn
The Dynamical Dimension of Defects in Spatiotemporal ChaosUsing a new time-dependent measure, we demonstrate for the first time that each defect in a representative defect-mediated spatiotemporally chaotic system is associated with one to two degrees of…David A. Egolf·Dec 10, 1997SaveLearn
Spatial Correlations in Chaotic EigenfunctionsAt short distances, energy eigenfunctions of chaotic systems have spatial correlations that are well described by assuming a microcanonical density in phase space for the corresponding Wigner…Mark Srednicki·Dec 9, 1997SaveLearn
New approach to the correlation spectrum near intermittency: a quantum mechanical analogyThe correlation spectrum of fully developed one-dimensional mappings are studied near and at a weakly intermittent situation. Using a suitable infinite matrix representation, the eigenvalue equation…J. Bene, Z. Kaufmann, H. Lustfeld·Dec 7, 1997SaveLearn
Almost-Hermitian Random Matrices: Applications to the Theory of Quantum Chaotic Scattering and BeyondIt is generally accepted that statistics of energy levels in closed chaotic quantum systems is adequately described by the theory of Random Hermitian Matrices. Much less is known about properties of…Yan V. Fyodorov·Dec 5, 1997SaveLearn
Deterministic Chaos and the Foundations of the Kinetic Theory of GasesRecent work in dynamical systems theory has shown that many properties that are associated with irreversible processes in fluids can be understood in terms of the dynamical properties of reversible,…J. R. Dorfman·Dec 4, 1997SaveLearn
Synchronization Defects and Broken Symmetry in Spiral WavesSpiral waves are investigated in oscillatory media exhibiting period-doubling bifurcations. In the period-doubled and chaotic regimes, the rotational symmetry of the spiral wave is broken. The loss…Andrei Goryachev, Hugues Chate, Raymond Kapral·Dec 3, 1997SaveLearn
Beyond the periodic orbit theoryThe global constraints on chaotic dynamics induced by the analyticity of smooth flows are used to dispense with individual periodic orbits and derive infinite families of exact sum rules for several…Predrag Cvitanovic, Kim Hansen, Juri Rolf et al.·Dec 2, 1997SaveLearn
Density-Density Correlators in Infinite Random MatricesUsing the BRM theory developed recently by Fyodorov and Mirlin we calculate the density-density correlators for Banded Random Matrix of infinite size. Within the accuracy of 1/b2 (b is the…O. V. Zhirov·Dec 2, 1997SaveLearn
Controlling frictionTwo different controlling methods are proposed to stabilize unstable continuous-sliding states of a dry-friction oscillator. Both methods are based on a delayed-feedback mechanism well-known for…Franz-Josef Elmer·Nov 27, 1997SaveLearn
Computing the diffusion coefficient for intermittent maps: Resummation of stability ordered cycle expansionsWe compute the diffusion coefficient and the Lyapunov exponent for a diffusive intermittent map by means of cycle expansion of dynamical zeta functions. The asymptotic power law decay of the…Carl P. Dettmann, Per Dahlqvist·Nov 27, 1997SaveLearn