Showing papers in "Physica D: Nonlinear Phenomena in 2008"

TL;DR: In this paper, a necessary condition is given to check the existence of 1-scroll, 2-scroll or multi-scroll chaotic attractors in a fractional order system, based on the stability theorems in fractional differential equations.

TL;DR: The three-dimensional Euler equations have been studied for a quarter of a millenium as a challenge to mathematicians and physicists as mentioned in this paper, and the nature of solutions is still largely a mystery.

TL;DR: This paper test an extensive range of network topology statistics, which have not been discussed in previous work, but which are capable of providing a comprehensive statistical characterization of the dynamics from different angles, and finds that the joint degree distribution appears to fundamentally characterize spatial organizations of cycles in phase space.

TL;DR: A novel secure cryptosystem for direct encryption of color images, based on chaotically coupled chaotic maps that guarantees strong cryptographic security, short encryption/decryption time, and robustness against noise and other external disturbances is presented.

TL;DR: In this paper, the role played in climate dynamics by fluid-dynamical models is reviewed and a novel approach is proposed to understand, and possibly reduce, these uncertainties, based on the concepts and methods of random dynamical systems theory.

TL;DR: In this article, the authors derived a general reduced-order equation for the asymptotic motion of finite-size particles in unsteady fluid flows, which is a small perturbation of passive fluid advection on a globally attracting slow manifold.

TL;DR: In this paper, the strongly modulated response (SMR) of a linear oscillator coupled to a nonlinear energy sink under harmonic forcing in the regime of 1:1:1 resonance is investigated.

TL;DR: In this paper, the problem of determining the spectrum for the linearization of an infinite-dimensional Hamiltonian system about a spatially periodic traveling wave was recast as determining the point spectra for a family of operators J γ L γ, where J ∆ is skew-symmetric with bounded inverse and L ∆ are symmetric with compact inverse.

TL;DR: In this paper, the multistability and multiperiodicity issues for Cohen-Grossberg neural networks (CGNNs) with time-varying delays and a general class of activation functions are discussed.

TL;DR: In this article, a modified Stokes number was proposed to take into account the effects from finite particle size and inertia, and the authors compared the performance of tracer and non-tracer particles in turbulent water flows between counter-rotating disks measured by three-dimensional Lagrangian particle tracking.

TL;DR: The results show that for time series generated by nonlinear dynamics that have long range correlation, a time delay equal to the first zero crossing or minimum of the autocorrelation function can provide additional information into the characteristics of the time series that may be useful in comparative analysis.

TL;DR: In this paper, the authors compare experimental data and numerical simulations for the dynamics of inertial particles with finite density in turbulent flow of water using an Extended Laser Doppler Velocimetry technique.

TL;DR: In this article, the stability of the standing wave solution for a nonlinear Schrodinger equation with a point defect and a power type nonlinearity was studied, and it was shown that the standing-wave solution is stable in H rad 1 (R ) and unstable in H 1 ( R ) under subcritical nonlinearities.

TL;DR: In this paper, the spatio-temporal dynamics of a generic integral-differential equation subject to additive random fluctuations are studied, and it is shown that the global fluctuations shift the Turing bifurcation threshold.

TL;DR: It is argued that attempting to force such novel approaches into the conventional Universal Turing computational framework will provide neither insights into theoretical questions of computation, nor more powerful computational machines.

TL;DR: In this paper, the fundamental problem of the biomagnetic (blood) fluid flow in a channel with stenosis under the influence of a steady localized magnetic field is studied, where the mathematical model used for the formulation of the problem is consistent with the principles of ferrohydrodynamics (FHD) and magnetohydrodynamic (MHD).

TL;DR: In this paper, a closely related class of discontinuity-induced bifurcations, those involving equilibria of n-dimensional piecewise-smooth flows, are studied, and transitions are studied which occur when a boundary equilibrium, that is one lying within a discontinuity manifold, is perturbed.

TL;DR: In this paper, Hou et al. presented the results from new calculations of interacting anti-parallel Euler vortices with the objective of understanding the origins of singular scaling presented by Kerr.

TL;DR: In this paper, a large scale computations of the 3D Euler equations on some of the most promising blowup candidates were performed and it was shown that there is tremendous dynamic depletion of vortex stretching.

TL;DR: It is envisioned that molecular computers that operate in a biological environment can be the basis of “smart drugs”, which are potent drugs that activate only if certain environmental conditions hold, and the research direction that set this vision and attempts to realize it are reviewed.

TL;DR: In this paper, the emergence and transitions of various spatiotemporal patterns of thickness oscillation were studied in the freshly isolated protoplasm of the Physarum plasmodium.

TL;DR: In this article, the authors studied the Cauchy problem for the Boussinesq system with partial viscosity in dimension N ≥ 3 and proved a global existence result for data in Lorentz spaces satisfying a smallness condition.

TL;DR: In this paper, a numerical continuation and analytical investigation of sliding bifurcations in Filippov systems is presented, where a dry-friction oscillator is investigated from a sliding-bifurcation point of view.

TL;DR: In this article, the derivative nonlinear Schrodinger equation (i.e., i q t + q x x = i ( | q | 2 q ) x on the half-line using the Fokas method was analyzed.

TL;DR: Onsager's conjecture that non-vanishing energy dissipation in high-Reynolds-number turbulence is associated to singular (distributional) solutions of the incompressible Euler equations is discussed in this article.

TL;DR: In this paper, a stochastic model of wave groups is presented to explain the occurrence of exceptionally large waves, usually referred to as rogue waves, which leads to the description of the non-Gaussian statistics of large waves in oceanic turbulence and to a new asymptotic distribution of their crest heights in a form that generalizes the Tayfun model.

TL;DR: In this article, Chen, Goldenfeld, and Oono used the renormalization group (RG) method for singular perturbation problems and showed that the reduced or amplitude equations generated by the RG method are equivalent to the classical Poincare-Birkhoff normal forms for these systems up to and including terms of O ( ϵ 2 ), where ϵ is the perturbations parameter.

TL;DR: In this paper, for the two-parameter second-order Henon map, the shapes and locations of the periodic windows are found by a random searching procedure and displayed graphically.

TL;DR: The theory of systems of BDEs is reviewed and systems with an infinite number of variables distributed in space are introduced and connections with other types of discrete dynamical systems, including cellular automata and Boolean networks are discussed.

TL;DR: In this paper, an existence theory for small-amplitude Stokes and solitary-wave solutions to the classical water-wave problem in the absence of surface tension and with an arbitrary distribution of vorticity is presented.