The structure of iteration groups of continuous functions.
The topology of holomorphic flows with singularity
Topological pressure for geodesic flows
Trajectories of polynomial vector fields and ascending chains of polynomial ideals
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in and an algebraic hypersurface. The answer is polynomial in the height (the magnitude of coefficients) of the equation and the size of the curve in the space-time, with the exponent depending only on the degree and the dimension.The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned...
Transitive flows on manifolds.
In this paper we characterize manifolds (topological or smooth, compact or not, with or without boundary) which admit flows having a dense orbit (such manifolds and flows are called transitive) thus fully answering some questions by Smith and Thomas. Name
Triple Collision in the Planar Isosceles Three Body Problem.
Une classe de systèmes dynamiques monotones génériquement Morse-Smale
Dans cet article, nous généralisons les résultats de Fusco et Oliva [8], qui ont montré la transversalité de l’intersection des variétés stable et instable associées à des orbites périodiques hyperboliques, pour un système dynamique de la forme (sur un ouvert de ) où est une matrice de Jacobi cyclique. Dans [8], cette propriété est obtenue en utilisant le nombre de changements de signe de qui est une fonctionnelle monotone le long des orbites. Tout d’abord, nous étendons ce résultat de transversalité...
Uniform stability and semi-stability of motions in dynamical systems on metric spaces
Some stability properties of motions in pseudo-dynamical systems and semi-systems are studied.
Uniformely distributed orbits of certain flows on homogeneous spaces.
Vector fields and flows on differentiable stacks.
Vector fields generating more than one flow.
Which electric fields are realizable in conducting materials?
In this paper we study the realizability of a given smooth periodic gradient field ∇u defined in Rd, in the sense of finding when one can obtain a matrix conductivity σ such that σ∇u is a divergence free current field. The construction is shown to be always possible locally in Rd provided that ∇u is non-vanishing. This condition is also necessary in dimension two but not in dimension three. In fact the realizability may fail for non-regular gradient fields, and in general the conductivity cannot...
Zig-zag dynamical systems and the Baker-Campbell-Hausdorff formula
Внутреннее описание инвариантных подрасслоений в теореме Перрона-Винограда-Былова
Динамические системы
Интегралы потоков идеальной баротропной жидкости
О повадении траекторий рассеивающих бильярдов на плоском торе
О реализации потоков непрерывными кусочно-аффинными системами.
О редукции гладкой линейной по управлению системы
Разрешимые однородные потоки