Nonautonomous HamiltoniansWe present a theory of resonances for a class of non-autonomous Hamiltonians to treat the structural instability of spatially localized and time-periodic solutions associated with an unperturbed…A. Soffer, M. I. Weinstein·Jun 29, 1998SaveLearn
Resonances, Radiation Damping and Instability in Hamiltonian Nonlinear Wave EquationsWe consider a class of nonlinear Klein-Gordon equations which are Hamiltonian and are perturbations of linear dispersive equations. The unperturbed dynamical system has a bound state, a spatially…A. Soffer, M. I. Weinstein·Jun 29, 1998SaveLearn
The human ECG - nonlinear deterministic versus stochastic aspectsWe discuss aspects of randomness and of determinism in electrocardiographic signals. In particular, we take a critical look at attempts to apply methods of nonlinear time series analysis derived from…Holger Kantz, Thomas Schreiber·Jun 29, 1998SaveLearn
Interdisciplinary application of nonlinear time series methodsThis paper reports on the application to field measurements of time series methods developed on the basis of the theory of deterministic chaos. The major difficulties are pointed out that arise when…Thomas Schreiber·Jun 26, 1998SaveLearn
Fractal Nature of TOGA Surface Pressure Time SeriesThe variability of temporal (or spatial) fluctuations of any variable is represented in conventional statistical theory by the relative dispersion equal to the standard deviation divided by the mean…A. M. Selvam, Suvarna Fadnavis, S. U. Athale·Jun 25, 1998SaveLearn
Universal Spectrum for Interannual Variability of Rainfall Over India and Scotland: Implication for PredictionAtmospheric flows exhibit fluctuations of all scales (space -time) ranging from turbulence (millimeters-seconds) to climate (thousands of kilometers-years). The apparently random fluctuations however…Suvarna Fadnavis, A. M. Selvam·Jun 25, 1998SaveLearn
Bridge relations in Navier-Stokes turbulenceThe correlation between inertial range velocity fluctuations and energy dissipation in fully developed turbulence is studied using high resolution direct numerical simulation. Runs with microscale…A. Celani, D. Biskamp·Jun 24, 1998SaveLearn
Topological entropy and complexity for discrete dynamical systemsTo test a possible relation between the topological entropy and the Arnold complexity, and to provide a non trivial example of a rational dynamical zeta function, we introduce a two-parameter family…N. Abarenkova, J. -Ch. Anglès d'Auriac, S. Boukraa et al.·Jun 24, 1998SaveLearn
A Scanned Perturbation Technique For Imaging Electromagnetic Standing Wave Patterns of Microwave CavitiesWe have developed a method to measure the electric field standing wave distributions in a microwave resonator using a scanned perturbation technique. Fast and reliable solutions to the Helmholtz…Ali Gokirmak, Dong-Ho Wu, J. S. A. Bridgewater et al.·Jun 24, 1998SaveLearn
Applied Symbolic DynamicsSymbolic dynamics is a coarse-grained description of dynamics. By taking into account the ``geometry'' of the dynamics, it can be cast into a powerful tool for practitioners in nonlinear…Bai-lin Hao·Jun 23, 1998SaveLearn
On the Special Role of Symmetric Periodic Orbits in a Chaotic SystemAfter early work of Henon it has become folk knowledge that symmetric periodic orbits are of particular importance. We reinforce this belief by additional studies and we further find that invariant…L. Benet, C. Jung, T. Papenbrock et al.·Jun 23, 1998SaveLearn
ROC Analysis and a Realistic Model of Heart Rate VariabilityWe have carried out a pilot study on a standard collection of electrocardiograms from patients who suffer from congestive heart failure, and subjects without cardiac pathology, using…Stefan Thurner, Markus C. Feurstein, Malvin C. Teich·Jun 19, 1998SaveLearn
Integrability and level crossing manifolds in a quantum Hamiltonian systemWe consider a two-spin model, represented classically by a nonlinear autonomous Hamiltonian system with two degrees of freedom and a nontrivial integrability condition, and quantum mechanically by a…Vyacheslav V. Stepanov, Gerhard Muller·Jun 17, 1998SaveLearn
Dynamical tunneling in optical cavitiesThe lifetime of whispering gallery modes in a dielectric cavity with a metallic inclusion is shown to fluctuate by orders of magnitude when size and location of the inclusion are varied. We ascribe…Gregor Hackenbroich, Jens U. Noeckel·Jun 17, 1998SaveLearn
Enstrophy and dissipation must have the same scaling exponent in the high Reynolds number limit of fluidturbulenceWriting the Poisson equation for the pressure in the vorticity-strain form, we show that the pressure has a finite inertial range spectrum for high Reynolds number isotropic turbulence only if the…Mark Nelkin·Jun 16, 1998SaveLearn
Traces and determinants of strongly stochastic operatorsPeriodic orbit theory allows calculations of long time properties of chaotic systems from traces, dynamical zeta functions and spectral determinants of deterministic evolution operators, which are in…C. P. Dettmann·Jun 16, 1998SaveLearn
Ray and wave chaos in asymmetric resonant optical cavitiesOptical resonators are essential components of lasers and other wavelength-sensitive optical devices. A resonator is characterized by a set of modes, each with a resonant frequency omega and…Jens U. Noeckel, A. Douglas Stone·Jun 16, 1998SaveLearn
Delayed Dynamics toward ApplicationsWe propose two dynamical models with delay taking advantage of their complex dynamics for information processing tasks. The first model incorporates coupled delayed dynamics of multiple bits, which…Toru Ohira·Jun 15, 1998SaveLearn
Chemical or Biological Activity in Open Chaotic FlowsWe investigate the evolution of particle ensembles in open chaotic hydrodynamical flows. Active processes of the type A+B --> 2B and A+B --> 2C are considered in the limit of weak diffusion. As an…Gy. Karolyi, A. Pentek, Z. Toroczkai et al.·Jun 13, 1998SaveLearn
Possible Solar Influence On Atmospheric Electric FieldA cell dynamical system model for the troposphere - ionosphere coupling is proposed . Vertical mass exchange in the troposphere-ionosphere-magnetosphere takes place through a chain of eddy systems.…Poonam Sikka, A. Mary Selvam, A. S. Ramachandra Murty et al.·Jun 12, 1998SaveLearn
Lagrangian Dynamics in High-Dimensional Point-Vortex SystemsWe study the Lagrangian dynamics of systems of N point vortices and passive particles in a two-dimensional, doubly periodic domain. The probability distribution function of vortex velocity, pN, has…Jeffrey B. Weiss, Antonello Provenzale, James C. McWilliams·Jun 9, 1998SaveLearn
Quantum chaos with non-periodic, complex orbits in the Resonant Tunneling DiodeWe show that a special type of orbits, which are non-periodic and complex, 'Saddle Orbits' (SOs) describe accurately the quantal and experimental current oscillations in the Resonant…D. S. Saraga, T. S. Monteiro·Jun 9, 1998SaveLearn
Confined chaotic behavior in collective motion for populations of globally coupled chaotic elementsThe Lyapunov exponent for collective motion is defined in order to characterize chaotic properties of collective motion for large populations of chaotic elements. Numerical computations for this…Naoko Nakagawa, Teruhisa S. Komatsu·Jun 8, 1998SaveLearn
Stochastic Coherence in Coupled Map LatticesWe report in details the observations of structures in coupled map lattice during its chaotic evolution, both in one and two dimension, driven by identical noise on each site (by a structure we mean…Manojit Roy, R. E. Amritkar·Jun 6, 1998SaveLearn
Effect of noise on coupled chaotic systemsEffect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that…Manojit Roy, R. E. Amritkar·Jun 6, 1998SaveLearn