Showing papers in "Physica D: Nonlinear Phenomena in 1998"

TL;DR: Bounds on information processing rates implied by the bound on the speed of dynamical evolution are discussed, which suggests that adding 1 J of energy to a given computer can never increase its processing rate by more than about 3 × 1033 operations per second.

TL;DR: A survey of time-reversal symmetry in dynamical systems can be found in this paper, where the relation of time reversible dynamical sytems to equivariant and Hamiltonian systems is discussed.

TL;DR: In this article, the authors demonstrate that nuclear magnetic resonance spectroscopy is capable of emulating many of the capabilities of quantum computers, including unitary evolution and coherent superpositions, but without attendant wave-function collapse.

TL;DR: In this article, a multiphase field model was used to model the phase transition of a binary alloy within N different phases with varying solubilities and different diffusion coefficients, and the phase-field/diffusion model was compared with the previous WBM model in a limiting case.

TL;DR: The theory and application of homoclinic orbits to equilibria in reversible continuous-time dynamical systems, where the homOClinic orbit and the equilibrium are both reversible, are reviewed, including even-order reversible systems in four or more dimensions.

TL;DR: In this paper, it was shown that Alice can almost always cheat successfully by using an EPR type of attack and delaying her measurements, and that such a cheating strategy generally requires a quantum computer.

TL;DR: In this article, a review of fluxon dynamics in Josephson circuits is presented, including the classic quasi-one-dimensional junctions, stacked junctions (Josephson superlattices), and discrete Josephson transmission lines.

TL;DR: This paper examines the issues of how to use multiple data streams most effectively for modeling and prediction, and describes some numerical experiments which show that using multivariate time series can significantly improve predictability.

TL;DR: In this paper, the authors studied the transport of particles in a general, two-dimensional, incompressible flow in the presence of a transient eddy, i.e., a bounded set of closed streamlines with a finite time of existence.

TL;DR: It is shown that the standard gaits of a quadruped, including walk, trot and pace, cannot all be realized by a single four-cell network without introducing unwanted conjugacies that imply a dynamic equivalence between these gaits that seems inconsistent with observations.

TL;DR: In this article, the spectrum for bright solitary-wave solutions to various perturbed nonlinear Schrodinger equations, and precise conditions on parameters for which the waves are stable were determined.

TL;DR: In this paper, a new model for calculation of the crystalliztation and impingement of many particles with differing orientations is proposed, where a vector order parameter is introduced, and thus orientation of crystal/disordered interfaces can be determined relative to a crystalline frame.

TL;DR: In this article, Doelman et al. analyzed the linear stability of singular homoclinic stationary solutions and spatially periodic stationary solutions in the one-dimensional Gray-Scott model.

TL;DR: In this paper, a simple implementation of quantum teleportation in terms of primitive operations in quantum computation is presented, where primitive operations are defined as primitive operations on the quantum code and primitive operations of the quantum computer.

TL;DR: In this paper, two frequency forcing at very large aspect ratio is utilized in order to obtain superlattice wave patterns at the interface of a fluid layer driven vertically, which are described most naturally in terms of two interacting hexagonal sublattices.

TL;DR: In this article, a pair of biophysically modeled neurons are analyzed and the rates of onset and decay of inhibition interact with the timescales of the intrinsic oscillators to determine when stable synchrony is possible.

TL;DR: A numerical algorithm is presented for the approximation of solutions of the system (∗) and it is proved the algorithm is fourth-order accurate both in time and in space, is unconditionally stable, and has optimal computational complexity.

TL;DR: For a general class of diffuse anisotropic multi-phase order parameter (or phase-field) models, this paper used formally matched asymptotic expansions to determine the asymPTotic limit when a small parameter related to the thickness of the interface tends to zero.

TL;DR: In this paper, a new model of Laplacian stochastic growth is formulated using conformal mappings, which describes two growth regimes, stable and turbulent, separated by a sharp phase transition.

TL;DR: In this article, the evolution of the β-FPU chain is studied considering as initial condition the highest frequency mode, and the lifetime of the chaotic breather is related to the time necessary for the system to reach equipartition.

TL;DR: A class of algorithms for simulating the Schrodinger equation for interacting many-body systems are presented, which would make it possible to simulate nonrelativistic quantum systems on a quantum computer with an exponential speedup compared to simulations on classical computers.

TL;DR: A modified procedure, non-uniform embedding, is presented, which overcomes problems in many cases when there are multiple timescales in the dynamics and variable embedding is introduced for more complex nonlinear dynamics.

TL;DR: In this article, the authors show that at any instability threshold, there is a marginal mode, which is a solution of the linearized (Hill) equation of the breather which grows linearly in time.

TL;DR: In this article, the relative motion of three point vortices of arbitrary strength moving on the surface of a sphere of radius R is studied. But instead of using spherical coordinates, we use cartesian coordinates in which the vector χi points from the center of the sphere to the vortex with strength Γi.

TL;DR: In this paper, a weakly nonlinear analysis of the Saffman-Taylor viscous fingering instability is presented, in which a less viscous fluid displaces a more viscous one between narrowly spaced parallel plates in a Hele-Shaw cell.

TL;DR: In this article, a quantum information theory that allows for a consistent description of entanglement is presented. But it is based entirely on density matrices rather than probability distributions for the description of quantum ensembles.

TL;DR: In this article, the authors provide an analysis of the motion of diffuse interfaces in the order-parameter (phase field) formulation which includes nondifferentiable and non-convex gradient energy terms.

TL;DR: In this article, the authors consider solidification into a hypercooled melt in which kinetic undercooling and anisotropic surface energy are present, and track the unstable evolution of an initially planar front to a facetted front.

TL;DR: In this article, the authors studied propagation failure of traveling waves in a discrete scalar reaction-diffusion equation with a piecewise linear, bistable reaction function, and the critical points of the pinning transition and the wavefront profile at the onset of propagation were calculated exactly.

TL;DR: In this paper, an exact criterion for partitioning the fluid into regions with different dynamical properties, from both the points of view of particle dispersion and tracer gradient evolution, was found.