Showing papers in "Physica D: Nonlinear Phenomena in 2003"

TL;DR: A phase field model for the mixture of two incompressible fluids is presented in this article, which is based on an energetic variational formulation, consisting of a Navier-Stokes system coupled with a Cahn-Hilliard equation through an extra stress term and the transport term.

TL;DR: In this paper, the scale-free topology of the input connections and that of the output connections of a Boolean network has been studied and the existence of a phase transition from ordered to chaotic dynamics, governed by the value of the scale free exponent of the network, is shown analytically by analyzing the overlap between two distinct trajectories.

TL;DR: Cincotta et al. as discussed by the authors, Pablo Miguel, and Pablo Cincotta, Pablo Miguel. Facultad de Ciencias Astronomicas and Geofisicas; Argentina

TL;DR: In this paper, a microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced, and it is shown that cohesion can be maintained, even in the zero-density limit of an arbitrarily large flock in an infinite space.

TL;DR: An opinion dynamics model in which agents reach compromise via pairwise interactions is studied, in which major and minor parties emerge, and these are organized in alternating pattern.

TL;DR: In this article, a model reduction procedure is implemented for three-dimensional finite-element models of elasticity, and the standard Newmark implicit integrator is used to reduce the computational costs of simulation.

TL;DR: In this article, the authors consider a firing rate model of a neuronal network continuum that incorporates axo-dendritic synaptic processing and the finite conduction velocities of action potentials.

TL;DR: In this paper, a van der Pol-Duffing oscillator with excitation was used as a variable parameter to investigate its effect on the dynamics of the system such as the stability and bifurcation of an equilibrium point, phase locked (periodic) and phase shifting solution, period-doubling, quasi-periodic motion and chaos.

TL;DR: In this paper, a ring of neurons with self-feedback and delays is considered and the linear stability of the Hopf bifurcation model is investigated by analyzing the associated characteristic transcendental equation.

TL;DR: In this article, Bouchaud et al. used photoelastic particles to determine forces at the grain scale and obtained ensembles of responses for the following particle types, packing geometries and conditions: monodisperse ordered hexagonal packings of disks, bidisperse packings with different amounts of disorder, disks packed in a regular rectangular lattice with different frictional properties, Packings of pentagonal particles, systems with forces applied at an arbitrary angle at the surface, and systems prepared with shear deformation, hence with texture or anisotropy

TL;DR: In this article, the authors introduce and justify a computational scheme for the continuation of periodic orbits in systems with one or more first integrals, and in particular in Hamiltonian systems having several independent symmetries.

TL;DR: In this paper, a wavelet decomposition of a trajectory using wavelets is proposed to detect resonance trappings and transitions and allow a characterization of the notion of weak and strong chaos.

TL;DR: In this article, the topology of point vortices in the infinite plane, in singly periodic arrays, in doubly periodic lattices, and in a single-dimensional lattice is analyzed.

TL;DR: In this article, the authors show that laminar-turbulence coexistence dynamics (turbulent spots, spiral turbulence, etc.) can be seen as the ultimate stage of a modulation of the turbulent flows present at higher Reynolds number leading to regular, long-wavelength, inclined stripes.

TL;DR: In this article, a sharp-interface theory is proposed to characterize the coarsening dynamics associated with a convective Cahn-Hilliard equation (cCH) in one space dimension, where two types of phase boundaries (kink and anti-kink) arise, due to the presence of convection, and their motions are governed to leading order by a nearest-neighbors interaction co-arsening dynamical system.

TL;DR: This paper develops two accurate and fast algorithms for the computation of the stable and unstable manifolds of hyperbolic trajectories of two-dimensional, aperiodically time-dependent vector fields and describes the computational requirements of all of these methods.

TL;DR: In this paper, the authors proposed a Weberized nonlinear TV restoration model, making use of the direct method in the space of functions with bounded variations, and also proposed an iterative algorithm based on the linearization technique for the associated nonlinear Euler-Lagrange equation.

TL;DR: It is shown that different techniques of resampling the data in the wavelet domain may optimize the construction of surrogate data according to the properties of the experimental time series and computational constraints.

TL;DR: In this article, the authors compare two different techniques to obtain the multi-phase solutions for the Schrodinger equation in the semiclassical limit: Whitham's averaging method and the Wigner transform.

TL;DR: In this paper, a simple step function heterogeneity in a kinetic parameter can lead to spatial pattern formation outside the classical Turing space parameter regime for patterning, which reduces the constraints on the model parameters, and highlights the potential importance of boundaries during pattern formation.

TL;DR: In this paper, the amplitude death in networks of weakly nonlinear oscillators with diffusive and time-delayed coupling was investigated. But the amplitude deaths can be observed regardless of the precise nature of the nonlinearities and under very general coupling conditions.

TL;DR: In this article, the existence of a global attractor for first order dissipative lattice dynamical systems (1-order DLDSs) arising in many applications was proved and the finite-dimensional approximations of attractors for the lattice systems which can be regarded as spatial discretization of reactiondiffusion equations in Rk.

TL;DR: In this article, the ground-state solitary waves of the critical nonlinear Schrodinger equation were shown to be orbitally stable in dimension d ≥ 2, where Gd is a constant that depends only on d.

TL;DR: In this article, a model for the interaction dynamics of lymphocytes-tumor cells population was presented, which reproduces all known states for the tumor. And the model was developed taking into account periodical immunotherapy treatment with cytokines alone.

TL;DR: In this paper, a linear stability analysis of a Newtonian liquid film flowing down an inclined wavy plane is carried out and it is found that on a large scale the critical Reynolds number for the onset of surface waves is higher than that for a flat bottom.

TL;DR: In this paper, the authors study a partial integro-differential equation defined on a spatially extended domain that arises in the modeling of pattern formation in neuronal networks and develop criteria for the existence and stability of equal-width 2-bump solutions under the assumption that the firing rate function is the Heaviside function.

TL;DR: In this paper, the authors detect diffusion along resonances in a quasi-integrable system at small values of the perturbing parameter, and the diffusion coefficient goes to zero, as the perturbation parameter goes to 0, faster than a power law.

TL;DR: In this article, the authors performed numerical simulation of the kinetic equation describing behavior of an ensemble of random-phase, spatially homogeneous gravity waves on the surface of the infinitely deep ocean.

TL;DR: In this article, the rotational Euler equation admits global smooth solutions for a subset of generic initial configurations, but only if the velocity field remains smooth if and only if it is periodic.

TL;DR: In this paper, the authors studied the front propagation of reactive fields in systems whose diffusive behavior is anomalous (both superdiffusive and subdiffusive), and they showed that the probability distribution of the transport process follows the scaling relation given by the Flory argument even in the presence of super (or sub) diffusion.