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Asymptotic analysis for a Vlasov-Fokker-Planck/Compressible Navier-Stokes system of equations
Asymptotic analysis Vlasov-Fokker-Planck Compressible Navier-Stokes system of equations
2015/10/15
This article is devoted to the asymptotic analysis of a system of coupled kinetic and fluid equations, namely the Vlasov-Fokker-Planck equation and a compressible Navier-Stokes equation. Such a system...
Dynamical system state need not have spectrum
Dynamic system nonlinear dynamical systems differential equation
2015/8/13
Recently there has been much study of nonlinear dynamical systems (differential equations) which have chaotic solutions. While there is not precise definition of what a chaotic solution is, it is gene...
A simple linear response closure approximation for slow dynamics of a multiscale system with linear coupling
closure approximation slow dynamics multiscale system linear coupling
2011/9/14
Abstract: Many applications of contemporary science involve multiscale dynamics, which are typically characterized by the time and space scale separation of patterns of motion, with fewer slowly evolv...
Quasi-stationary workload in a Lévy-driven storage system
L´ evy processes storage systems quasi-stationary distribution Laplace transforms
2011/1/21
In this paper we analyze the quasi-stationary workload of a L´evy-driven storage system.
More precisely, assuming the system is in stationarity, we study its behavior conditional on the event t...
Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2011/3/2
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
We study the well-posedness of the Hele-Shaw-Cahn-Hilliard system modeling binary fluid flow in porous media with arbitrary viscosity contrast but matched density between the components. For initial d...
Forced Nonlinear Resonance in a System of Coupled Oscillators
Forced Nonlinear Resonance System of Coupled Oscillators
2010/12/28
We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time t ∼ "−2 one component of ...
Dynamics of a rational system of difference equations in the plane
Dynamics difference equations
2010/11/15
We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the paramet...
On a p-curl system arising in electromagnetism
Electromagnetic problems variational methods variational inequali-ties superconductivity models
2010/11/29
We prove existence of solution of a p-curl type evolutionary system arising in electromagnetism with a power nonlinearity of order p, 1 < p < 1,assuming natural tangential boundary conditions. We cons...
This paper uses the geometric singular perturbationtheory to investigate dynamical behaviors and singularities in afundamental power system presented in a single-machineinfinite-bus formulation. The p...
A single-axis flux decay model including an excitationcontrol model proposed in [12,14,16] is studied. As thebifurcation parameter $P_{m}$ (input power to the generator)varies, the system exhibits dyn...