On a Bernoulli Property of some Piecewise C2-Diffeomorphisms in ...d.
On a shadowing lemma in metric spaces
In the present paper conditions are studied, under which a pseudo-orbit of a continuous map , where is a metric space, is shadowed, in a more general sense, by an accurate orbit of the map .
On boundaries of parallelizable regions of flows of free mappings.
On factorizing meromorphic functions.
On iterations of Misiurewicz's rational maps on the Riemann sphere
On maximizing measures of homeomorphisms on compact manifolds
We prove that given a compact n-dimensional connected Riemannian manifold X and a continuous function g: X → ℝ, there exists a dense subset of the space of homeomorphisms of X such that for all T in this subset, the integral , considered as a function on the space of all T-invariant Borel probability measures μ, attains its maximum on a measure supported on a periodic orbit.
On negative escape time in semidynamical systems.
On Picard-Fuchs type equations related to integrable Hamiltonian systems.
On Semicontinuity in Impulsive Dynamical Systems
In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown in this paper....
On some dynamical properties of S-unimodal maps on an interval
On Stability in Impulsive Dynamical Systems
Several results on stability in impulsive dynamical systems are proved. The first main result gives equivalent conditions for stability of a compact set. In particular, a generalization of Ura's theorem to the case of impulsive systems is shown. The second main theorem says that under some additional assumptions every component of a stable set is stable. Also, several examples indicating possible complicated phenomena in impulsive systems are presented.
On systems governed by two alternating vector fields
We investigate the nonautonomous periodic system of ODE’s of the form , where is a -periodic function defined by for , for and the vector fields and are related by an involutive diffeomorphism.
On the dynamics of polynomial-like mappings
On the dynamics of in a local field
Let be a local field, and where denotes the characteristic of the residue field. We prove that the minimal subsets of the dynamical system are cycles and describe the cycles of this system.
On the existence of homoclinic points
On the group of isometries on a locally compact metric space.
On the Hausdorff dimension of Julia sets of meromorphic functions. II
On the Hausdorff dimension of Julia sets of meromorphic functions. I
On the instability of Herman rings.
On the mulitplier of a repelling fixed point.