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
Asymptotic stability of switching systems.
Asymptotic Vassiliev invariants for vector fields
We analyse the asymptotical growth of Vassiliev invariants on non-periodic flow lines of ergodic vector fields on domains of . More precisely, we show that the asymptotics of Vassiliev invariants is completely determined by the helicity of the vector field.
Asymptotic windings over the trefoil knot.
Consider the group G:=PSL2(R) and its subgroups Γ:= PSL2(Z) and Γ':=DSL2(Z). G/Γ is a canonical realization (up to an homeomorphism) of the complement S3T of the trefoil knot T, and G/Γ' is a canonical realization of the 6-fold branched cyclic cover of S3T, which has a 3-dimensional cohomology of 1-forms.Putting natural left-invariant Riemannian metrics on G, it makes sense to ask which is the asymptotic homology performed by the Brownian motion in G/Γ', describing thereby in an intrinsic way part...
Asymptotical behaviors of nonautonomous discrete Kolmogorov system with time lags.
Asymptotically Brownian skew products give non-loosely Bernoulli K-automorphisms.
Asymptotics of the partition function of a random matrix model
We prove a number of results concerning the large asymptotics of the free energy of a random matrix model with a polynomial potential. Our approach is based on a deformation of potential and on the use of the underlying integrable structures of the matrix model. The main results include the existence of a full asymptotic expansion in even powers of of the recurrence coefficients of the related orthogonal polynomials for a one-cut regular potential and the double scaling asymptotics of the free...
Asynchronous sliding block maps