Arithmetic properties of periodic points of quadratic maps
Arithmetic properties of periodic points of quadratic maps, II
Arithmétique des rapports de similitudes symplectiques
Arnold diffusion: a variational construction.
Aspects of uniformity in recurrence
We analyze and cite applications of various, loosely related notions of uniformity inherent to the phenomenon of (multiple) recurrence in ergodic theory. An assortment of results are obtained, among them sharpenings of two theorems due to Bourgain. The first of these, which in the original guarantees existence of sets x,x+h, in subsets E of positive measure in the unit interval, with lower bounds on h depending only on m(E), is expanded to the case of arbitrary finite polynomial configurations...
Assessing local turbulence strength from a time series.
Asset price dynamics in a financial market with fundamentalists and chartists.
Asymmetric bound states of differential equations in nonlinear optics
Asymptotic behavior for second order lattice dynamical systems.
Asymptotic behaviors of complex analytic dynamical systems.
Asymptotic behaviour of a discrete dynamical system generated by a simple evolutionary process
A simple model of phenotypic evolution is introduced and analysed in a space of population states. The expected values of the population states generate a discrete dynamical system. The asymptotic behaviour of the system is studied with the use of classical tools of dynamical systems. The number, location and stability of fixed points of the system depend on parameters of a fitness function and the parameters of the evolutionary process itself. The influence of evolutionary process parameters on...
Asymptotic expansions of canards with poles. Application to the stationary unidimensional Schrödinger equation.
Asymptotic flag of an orientable measured foliation
Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps
We consider a large class of non compact hyperbolic manifolds with cusps and we prove that the winding process generated by a closed -form supported on a neighborhood of a cusp , satisfies a limit theorem, with an asymptotic stable law and a renormalising factor depending only on the rank of the cusp and the Poincaré exponent of . No assumption on the value of is required and this theorem generalises previous results due to Y. Guivarc’h, Y. Le Jan, J. Franchi and N. Enriquez.
Asymptotic period in dynamical systems in metric spaces
We introduce the notions of asymptotic period and asymptotically periodic orbits in metric spaces. We study some properties of these notions and their connections with ω-limit sets. We also discuss the notion of growth rate of such orbits and describe its properties in an extreme case.
Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three
Asymptotic solutions for large time of Hamilton–Jacobi equations in euclidean n space
Asymptotic stability for perturbed hamiltonian systems, II
Asymptotic stability of a system of randomly connected transformations on Polish spaces
We give sufficient conditions for the existence of a matrix of probabilities such that a system of randomly chosen transformations , k = 1,...,N, with probabilities is asymptotically stable.
Asymptotic stability of dynamical systems with multiplicative perturbations