Showing papers in "Communications in Nonlinear Science and Numerical Simulation in 2003"

TL;DR: In this article, a fractional non-Markov Poisson stochastic process has been developed based on fractional generalization of the Kolmogorov-Feller equation.

TL;DR: In this paper, the role of the fractional derivative term to the normal diffusion term in a LFE is compared and the dominant role of power tails in the long time asymptotics is shown.

TL;DR: In this article, the Jacobi elliptic function expansion (JEFE) method is applied to construct the exact periodic solutions to two kinds of nonlinear wave equations, such as BBM equation, fifth-order dispersive equation, Kawahara equation, modified Kawaha equation, second-order BO equation and symmetrical-regular long wave equation.

TL;DR: In this article, coherent vortex simulation (CVS) filtering is applied to study mixing in 2D homogeneous isotropic turbulent flows, and the Eulerian and Lagrangian dynamics of the flow are studied by comparing the evolution of a passive scalar and of particles advected by the coherent and incoherent velocity fields.

TL;DR: In this article, the authors studied the geostrophic adjustment of rectilinear jets and showed that the adjustment process can lead to a state where the jet traps the fast oscillations.

TL;DR: In this article, the authors considered the problem of increasing the collision rate of a beam of particles guided by a transversely confining potential by using a constriction or tilting the guide.

TL;DR: In this paper, the diffusion of test particles in anisotropic two-dimensional turbulence was investigated and it was shown that the particle dispersion in the zonal direction is much larger than the diffusion in the direction parallel to the background density gradient.

TL;DR: In this paper, a model of globally coupled conservative oscillators is investigated and the stability of highly clustered states appearing in the low temperature/energy region is studied both analytically and numerically for the / 4 -model.

TL;DR: In this paper, a Lagrangian-generalized capillary number CL number based on finite-time Lyapunov exponents is proposed to describe the advection of a drop between regions of the flow with varying velocity gradient.

TL;DR: In this paper, the Hamilton-Schrodinger equations for probability amplitudes and averaged position and momentum of a point-like atom interacting with the quantized field in a standing-wave ideal cavity were derived.

TL;DR: In this paper, the authors investigate the self-excited non-linear responses of bowed bars, using a time-domain modal approach, coupled with an explicit model for the frictional forces, which is able to emulate stick-slip behavior.

TL;DR: In this article, the quantum behavior of laser-cooled atoms in a pulsed standing wave was investigated experimentally, showing that it may display the well-known phenomenon of "dynamical localization", when the standing wave is driven periodically.

TL;DR: In this article, the suppression of flow-induced vibration using a simple control algorithm with an assumption that the disturbance as well as the system parameters are bounded variables is presented. But the authors do not consider the effect of variable parameters.

TL;DR: In this article, a wave propagation in a periodically corrugated waveguide is studied, where the control parameter of the problem is characterized by the corrugation amplitude and the SWA parameter.

TL;DR: In this paper, the Poincare map associated to a periodic perturbation, both in space and time, of a linear Hamiltonian system was studied and it was shown that this map is an area preserving one with an oscillating rotation number function.

TL;DR: In this article, the authors study the periodic forced response of a system of two limit cycle oscillators that interact with each other via a time delayed coupling and show that synchronization can occur with infinitesimal forcing amplitudes even at off-resonant driving.

TL;DR: In this article, strongly nonlinear oscillators described by x +g(x)=λf(μ,x, x ) x, in which λ is a parameter of arbitrary magnitude, were used to predict bifurcation of homoclinic orbits.

TL;DR: In this paper, a spectroscopic investigation of turbulence in the Tore-Supra edge plasma is presented, where deuterium spectral lines are found to exhibit a power-law behavior in their wings.

TL;DR: In this article, a non-Markovian characteristic functional for Levy stable noise with temporal correlations is proposed, which is inferred from a physical model that describes a particle interacting with an inhomogeneous environment.

TL;DR: In this article, the authors consider deterministic transport of particles in an asymmetric periodic ratchet potential of the rocking type and calculate the bifurcation diagram as a function of the amplitude of forcing.

TL;DR: In this article, the velocity diffusion of particles in a field of randomly phased waves is experimentally investigated, where an arbitrary waveform generator is used to launch a prescribed discrete spectrum of waves along the helix of a traveling wave tube, and a cold test electron beam propagates along the axis of the tube and interacts with the waves without self-consistently perturbing their amplitudes.

TL;DR: In this article, a distributed, nonlinear dynamic vibration neutralizer is presented to improve vibration suppression characteristics of harmonically excited structures, where the positions of the moving masses are adjustable along the beam in order to comply with the desired optimal performance.

TL;DR: In this article, the dynamics of cables with concentrated loads are studied using a direct perturbation method (DPM) combined with multiple time scales, where a general cable model is assumed to have complex loads, including nonlinear aerodynamic force and concentrated masses.

TL;DR: In this paper, a theoretical model is developed to investigate the dynamic characteristics of a healthy and an occluded asymmetric respiratory system, taking the elastance and inertance of the airway walls into consideration.

TL;DR: In this article, a Fokker-Planck-type kinetic equation for weakly interacting with an electrostatic plasma, in the presence of a magnetic field B, is analytically solved.

TL;DR: In this paper, the authors consider families of periodically forced Hamiltonian systems for which the appropriately scaled frequency ω(ν) is spanned, namely it covers the semi-infinite line [0,∞).

TL;DR: In this paper, the transport properties for chaotic dynamical systems may be studied through cycle expansions, and anomalies can be quantitatively described by hierarchical sequences of periodic orbits, which are then used to model the system dynamics.

TL;DR: In this paper, it was shown that the S-matrix of the Dirac operator L generated by the solutions of this system rapidly decreasing as x→±∞ is described by ordinary differential equations if and only if the system of equations for the potentials u and v under consideration has the Lax representation with the operator A differential with respect to x.

TL;DR: In this article, the authors review three-dimensional numerical simulations of field line transport in anisotropic magnetic turbulence and find anomalous transport, featuring both subdiffusion, corresponding to trapping in cantori structures, and superdiffusion in the stochastic layer.

TL;DR: In this article, the authors consider ray propagation in a waveguide with the sound speed profile that corresponds to the dynamics of a nonlinear oscillator and present an analytical consideration of the dependence of the travel time on the initial conditions.