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BOSE-EINSTEIN CONDENSATION AT FINITE TEMPERATURES:MEAN FIELD LAWS WITH PERIODIC MICROSTRUCTURE
quantum dynamics Bose-Einstein condensation periodic homogenization finite temperatures two-scale expansion mean field limit
2015/10/16
At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the lang...
The Poincare map of randomly perturbed periodic motion
Poincare map random perturbations limit cycle Dynamical Systems
2012/6/15
A system of autonomous differential equations with a stable limit cycle and perturbed by small white noise is analyzed in this work. In the vicinity of the limit cycle of the unperturbed deterministic...
Solitary and periodic wave solutions in quadratic nonlinear media
solitary waves periodic waves the theory of dynamical systems
2011/10/20
By using the theory of dynamical systems, solitary and periodic wave solutions for a coupled quadratic nonlinear system are studied.
The Existence of Periodic Solution and Periodic Attractors
Non-autonomous Nonclassical Periodic Galerkin approximate
2011/10/19
This paper is concerned with the dynamical behavior of a class of nonclassical diffusion equations Firstly, the existence of periodic solutions is established by using the Galerkin approximate method ...
Rabinowitz＇s Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems
Rabinowitz＇s Saddle Point Theorem Singular Hamiltonian systems without any symmetry
2011/10/18
Using Rabinowitz＇s Saddle Point Theorem ,we get new periodic solutions for singular Hamiltonian systems without any symmetry
Quasi-periodic Solutions for 2k Order Wave Equations
2k order wave equations KAM theory Quasi-periodic solutions Partial Birkhoff normal form
2011/10/18
In this paper, we consider one-dimensional (1D) nonlinear 2k order wave equations under the Dirichlet boundary conditions, weher the nonlinearity f is an analytic, odd function. It is proved that for ...
Almost periodic structures and the semiconjugacy problem
periodic structures semiconjugacy problem Dynamical Systems
2011/9/20
Abstract: The description of almost periodic or quasiperiodic structures has a long tradition in mathematical physics, in particular since the discovery of quasicrystals in the early 80's. Frequently,...
Periodic solutions of o.d.e. systems with a lipchitz non linearity
o.d.e. systems lipchitz non linearity Periodic solutions Dynamical Systems
2011/9/5
Abstract: In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stres...
Periodic solutions of o.d.e. systems with a lipchitz non linearity
Periodic solutions o.d.e. systems lipchitz non linearity
2011/8/17
Abstract: In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stres...
Divergent directions in some periodic wind-tree models
Divergent directions periodic wind-tree models Dynamical Systems
2011/9/5
Abstract: The periodic wind-tree model is a family T(a,b) of billiards in the plane in which identical rectangular scatterers of size axb are disposed at each integer point. It was proven by P. Hubert...
Diffusion for the periodic wind-tree model
Billiards diffusion translations surfaces Lyapunov exponents ergodic averages
2011/8/31
Abstract: The periodic wind-tree model is an infinite billiard in the plane with identical rectangular scatterers disposed at each integer point. We prove that independently of the size of the scatter...
Synchronization of forced quasi-periodic coupled oscillators
synchronization coupled van der Pol oscillators phase equations torus Lyapunov’s exponents
2011/7/6
The problem of synchronization of coupled self-oscillators by external force is studied. The charts of Lyapunov's exponents in the "frequency - amplitude" parameter plane are obtained within the frame...
The existence conditions for periodic motions of the Kowalevski gyrostat in double force field
existence conditions periodic motions Kowalevski gyrostat double force field
2011/3/3
Изучаются особые периодические движения (критические точки ранга 1 интегрально-
го отображения), найденные в работе М.П.Харламова (Механика твердого тела, вып. 37,
2007) в интегрируемой задаче о дви...
The existence conditions for periodic motions of the Kowalevski gyrostat in double force field
periodic motions Kowalevski gyrostat double force field
2010/12/28
Изучаются особые периодические движения (критические точки ранга 1 интегрально-
го отображения), найденные в работе М.П.Харламова (Механика твердого тела, вып. 37,
2007) в интегрируемой задаче о дви...
A mathematical framework for reducing the domain in the mechanical analysis of periodic structures
A mathematical framework mechanical analysis of periodic structures
2011/1/21
A theoretical framework is developped leading to a sound derivation of Periodic Boundary Conditions (PBCs) for the analysis of domains smaller then the Unit Cells (UCs), named reduced Unit Cells (rUCs...