Some perturbation results for non-linear problems
We discuss the existence of closed geodesic on a Riemannian manifold and the existence of periodic solution of second order Hamiltonian systems.
Some pinching deformations of the Fatou function
We are interested in deformations of Baker domains by a pinching process in curves. In this paper we deform the Fatou function , depending on the curves selected, to any map of the form , p/q a rational number. This process deforms a function with a doubly parabolic Baker domain into a function with an infinite number of doubly parabolic periodic Baker domains if p = 0, otherwise to a function with wandering domains. Finally, we show that certain attracting domains can be deformed by a pinching...
Some properties of cellular automata with equicontinuity points
Some properties of collision and non-collision orbits for a class of singular dynamical systems
We present some regularity properties of periodic solutions to a class of singular potential problems and we discuss the existence of a regular solution.
Some properties of integral curves in a neighbourhood of planar singular points
Si studia l'andamento delle traiettorie di un sistema dinamico piano rappresentato dalle equazioni (1) del testo, nell'intorno di un punto singolare isolato.
Some qualitative features of turbulent mixing for far from equilibrium phenomena.
Some Remarks Concerning an Example of a Minimal, Non-Uniquely Ergodic Interval Exchange Transformation.
Some remarks on -webs of complex surfaces, and a problem posed by D. Cerveau. (Quelques remarques sur les -webs des surfaces complexes et un problème proposé par D. Cerveau.)
Some remarks on Lie flows.
The first part of this paper is concerned with geometrical and cohomological properties of Lie flows on compact manifolds. Relations between these properties and the Euler class of the flow are given.The second part deals with 3-codimensional Lie flows. Using the classification of 3-dimensional Lie algebras we give cohomological obstructions for a compact manifold admits a Lie flow transversely modeled on a given Lie algebra.
Some remarks on recent results about S-unimodal maps
Some remarks on symplectic actions of compact groups.
Some remarks on the general theorem of the existence of iterative roots of homeomorphisms with a rational rotation number
We show that the theorem proved in [8] generalises the previous results concerning orientation-preserving iterative roots of homeomorphisms of the circle with a rational rotation number (see [2], [6], [10] and [7]).
Some remarks on the KP system of the Camassa-Holm hierarchy.
Some remarks on the metrical transitivity of invariant and quasi-invariant measures
Some results about dissipativity of Kolmogorov operators
Given a Hilbert space with a Borel probability measure , we prove the -dissipativity in of a Kolmogorov operator that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.
Some results on cascade discrete-time systems.
Some results on connecting orbits for a class of Hamiltonian systems.
Some results on dynamical systems and their generalization
Some results on Poincaré sets
It is known that a set of positive integers is a Poincaré set (also called intersective set, see I. Ruzsa (1982)) if and only if , where and denotes the Hausdorff dimension (see C. Bishop, Y. Peres (2017), Theorem 2.5.5). In this paper we study the set by replacing with . It is surprising that there are some new phenomena to be worthy of studying. We study them and give several examples to explain our results.
Some results on stability of difference systems.