搜索结果: 76-90 共查到“知识库 动力系统”相关记录396条 . 查询时间(3.194 秒)
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...
What make them all so turbulent
turbulent maps chain recurrent points densely chaotic maps omegalimit sets
2012/6/9
We give a unified proof of the existence of turbulence for some classes of continuous interval maps which include, among other things, maps with periodic points of odd periods > 1, some maps with dens...
A nilpotent IP polynomial multiple recurrence theorem
ergodic Ramsey theory IP-sets nilpotent Hales-Jewett theorem nilpotent Szemeredi theorem
2012/6/14
We generalize the IP-polynomial Szemer\'edi theorem due to Bergelson and McCutcheon and the nilpotent Szemer\'edi theorem due to Leibman. Important tools in our proof include a generalization of Leibm...
We establish certain topological properties of rank understood as a function on the set of invariant measures on a topological dynamical system. To be exact, we show that rank is of Young class LU (i....
Existence d'un feuilletage positivement transverse a un homeomorphisme de surface
Surface homeomorphism topological foliation transverse to the dynamics equivariant version of Brouwer's plane translation theorem
2012/6/14
Let F be a homeomorphism of an oriented surface M that is isotopic to the identity. Le Calvez proved that if F admits a lift without fixed points to the universal covering of M, then there exists a to...
基于哈密顿动力系统新变分原理的保辛算法之二：算法保辛性质证明
保辛 哈密顿系统 变分原理 作用量
2014/5/16
给出了哈密顿系统的一个新的变分原理,并基于此变分原理,通过选择一个时间步长两端不同广义位移或广义动量为独立变量,给出了四种不同类型的求解哈密顿动力系统的数值方法。本文将分别证明这四类数值方法都是保辛的数值方法。
Diophantine approximation with restricted numerators and denominators on semisimple groups
Diophantine approximation restricted numerators and denominators semisimple groups Dynamical Systems
2012/5/25
We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numera- tors and denominators and establish a quantitative approximation result f...
The aim of the present paper is to show a simple family of nonlinear analytic functions $g: R\to R$ such that the origin is a global isochronous center for the scalar equation $\ddot x=-g(x)$.
The omega-limit sets of quadratic Julia sets
omega-limit sets of quadratic Julia sets Dynamical Systems
2012/5/9
In this paper we characterize $\w$-limit sets of dendritic Julia sets for quadratic maps. We use Baldwin's symbolic representation of these spaces as a non-Hausdorff itinerary space and prove that qua...
Singularities and nonhyperbolic manifolds do not coincide
Semi-dispersing billiards hyperbolicity ergodicity local ergodicity invariant manifolds Chernov–Sinai Ansatz
2012/5/9
We consider the billiard flow of elastically colliding hard disks on the flat 2-torus and prove that no singularity manifold can locally coincide with a manifold describing future non-hyperbolicity of...
Asymptotic expansion of smooth interval maps
Asymptotic expansion smooth interval maps Dynamical Systems
2012/4/16
We show that several different ways to quantify the asymptotic expansion of a non-degenerate smooth interval map coincide. A consequence is an extension to multimodal maps of the remarkable result of ...
On superintegrable Stackel systems: elliptic and parabolic coordinates
superintegrable Stackel systems elliptic and parabolic coordinates Dynamical Systems
2012/4/26
Recently we proposed a generic construction of the additional integrals of motion for the Stackel systems applying addition theorems to the angle variables. In this note we show some trivial examples ...
Liouville-Arnold integrability for scattering under cone potentials
Liouville-Arnold integrability scattering cone potentials Dynamical Systems
2012/4/26
The problem of scattering of particles on the line with repulsive interactions, gives rise to some well-known integrable Hamiltonian systems, for example, the nonperiodic Toda lattice or Calogero's sy...
A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
class of integrable Hamiltonian systems scattering of particles line repulsive interactions
2012/4/26
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the as...
Etude d'un modele de dynamique des populations
Etude d'un modele dynamique des populations Dynamical Systems
2012/4/23
We study an infinite dimensional dynamical system that was proposed by J.C. Yoccoz and N.G. Yoccoz for modeling the population dynamics of some small rodents. We show an attractor exist in a large dom...