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Dynamics of poles with position-dependent strengths and its optical analogues
Vortex dynamics complex variable strengths Snell’s law geometric optics hybrid systems
2010/12/3
Dynamics of point vortices is generalized in two ways: first by making the strengths complex, which allows for sources and sinks in superposition with the usual vortices, second by making them functio...
We present a model problem for benchmarking codes that investigate magma migration in the Earth's interior. This system retains the essential features of more sophisticated models, yet has the advanta...
Strong Semiclassical Approximation of Wigner Functions for the Hartree Dynamics
Strong Semiclassical Approximation Wigner Functions Hartree Dynamics
2010/11/29
We consider the Wigner equation corresponding to a nonlinear Schr¨odinger evolution of the Hartree type in the semiclassical limit ~ → 0.
Molecular Distributions in Gene Regulatory Dynamics
Stochastic modelling；inducible/repressible operon
2010/12/16
We show how one may analytically compute the stationary density of the distribution of molecular constituents in populations of cells in the presence of noise arising from either bursting transcriptio...
Effective dynamics for $N$-solitons of the Gross-Pitaevskii equation
Effective dynamics $N$-solitons Gross-Pitaevskii equation
2010/12/13
We consider several solitons moving in a slowly varying external eld. We show that the e ective dynamics obtained by restricting the full Hamiltonian to the nite dimensional manifold of N-solitons (...
Dynamics of soliton-like solutions for slowly varying, generalized gKdV equations: refraction vs. reflection
gKdV equations integrability theory soliton dynamics slowly varying medium
2010/12/13
In this work we continue our study of the description of the soliton-like solutions of the variable coecients, subcritical gKdV equation ut + (uxx u + a("x)um)x = 0; in Rt Rx; m = 2; 3 ...
Tangent bundles to regular basic sets in hyperbolic dynamics
Tangent bundles hyperbolic dynamics
2010/11/26
Given a locally maximal compact invariant hyperbolic set for a C1 flow or diffeomorphism on a Riemann manifold with C1 unstable laminations, we construct an invariant continuous bundle of tangent ve...
Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics
Numerical Discontinuities Computational Fluid Dynamics
2010/12/10
Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computat...
Mass media and repulsive interactions in continuous-opinion dynamics
Mass media repulsive interactions continuous-opinion dynamics
2010/4/6
This letter focus on the effect of repulsive interactions on the adoption of an external message in an opinion model. With a simple change in the rules, we modify the Deffuant \emph{et al.} model to i...
The Problem of Modeling of Economic Dynamics (new version)
Economic Dynamics exponential growth
2010/4/27
The correctness of Harrods model in the differential form is studied. The inadequacy of exponential growth of economy is shown; an alternative result is obtained. By example of Phillips model, an appr...
3D Dune Dynamics as a Coupled Dynamics of 2D Cross-Sections
2D Cross-Sections 3D Dune Dynamics wind direction
2010/4/2
To analyze theoretically the stability of the shape and the migration process of transverse dunes and barchans, we propose a {\it skeleton model} of 3D dunes described with coupled dynamics of 2D cros...
The Non-linear Dynamics of Sociological Reflections
Non-linear Dynamics Sociological Reflections
2010/4/2
Actors are embedded in networks of communication: the relations of the actors can be represented as the rows of a matrix, while the column vectors represent their communications. The two systems are s...
Magnetic Field Control of the Quantum Chaotic Dynamics of Hydrogen Analogues in an Anisotropic Crystal Field
Magnetic Field Control Quantum Chaotic Dynamics Hydrogen Analogues
2010/4/2
We report magnetic field control of the quantum chaotic dynamics of hydrogen analogues in an anisotropic solid state environment. The chaoticity of the system dynamics was quantified by means of energ...
Dynamics of a compact operator
compact operator dynamic of linear operator average iterate
2011/1/17
Let T : X ! X be a compact linear (or more generally affine) operator from a Banach space into itself. For each x 2 X, the sequence of iterates T nx, n = 0, 1, · · · and its averages 1 k Pn k=0 T k...
The dynamics of laser droplet generation
laser droplet generation underlying dynamics laser pulse
2010/4/2
We propose an experimental setup allowing for the characterization of laser droplet generation in terms of the underlying dynamics, primarily showing that the latter is deterministically chaotic by me...