Šarkovského věta a diferenciální rovnice. II
Šarkovského věta a diferenciální rovnice III
Článek je pokračováním našich dřívějších stejnojmenných příspěvků, v nichž jsme vyšetřovali možnosti aplikace různých variant Šarkovského věty o koexistenci periodických bodů a orbit pro intervalová zobrazení na diferenciální rovnice a inkluze. I tentokrát se budeme zabývat stejným problémem, avšak pro zobrazení na kružnici. Na rozdíl od intervalových zobrazení zde totiž mj. nemusí periodické orbity implikovat existenci pevných bodů, což představuje největší překážku. Na druhé straně lze takto rozšířit...
Scalar-flat Kähler metrics with SU (2) symmetry.
Scaling in a map of the two-torus.
Scaling properties of a hybrid Fermi-Ulam-bouncer model.
Scattered homoclinics to a class of time-recurrent Hamiltonian systems
A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.
Scattering matrix for asymptotically euclidean manifolds
Schwarzian derivatives of topologically finite meromorphic functions.
Second order linear differential systems
Second order superintegrable systems in three dimensions.
Sector estimates for Kleinian groups.
Secure communications based on discrete time chaotic systems
Selection Theorem for Systems with Inheritance
The problem of finite-dimensional asymptotics of infinite-dimensional dynamic systems is studied. A non-linear kinetic system with conservation of supports for distributions has generically finite-dimensional asymptotics. Such systems are apparent in many areas of biology, physics (the theory of parametric wave interaction), chemistry and economics. This conservation of support has a biological interpretation: inheritance. The finite-dimensional asymptotics demonstrates effects of “natural”...
Self-affine fractals of finite type
In the class of self-affine sets on ℝⁿ we study a subclass for which the geometry is rather tractable. A type is a standardized position of two intersecting pieces. For a self-affine tiling, this can be identified with an edge or vertex type. We assume that the number of types is finite. We study the topology of such fractals and their boundary sets, and we show how new finite type fractals can be constructed. For finite type self-affine tiles in the plane we give an algorithm which decides whether...
Self-consistent-field method and -functional method on group manifold in soliton theory: a review and new results.
Self-organization in interface dynamics and urban development.
Self-organized criticality and urban development.
Self-similar centralizers of circle maps.
Self-Similar Sets 3. Constructions with Sofic Systems.
Semi-classical formula beyond the Ehrenfest time in quantum chaos. (I) Trace formula
We consider a nonlinear area preserving Anosov map on the torus phase space, which is the simplest example of a fully chaotic dynamics. We are interested in the quantum dynamics for long time, generated by the unitary quantum propagator . The usual semi-classical Trace formula expresses for finite time , in the limit , in terms of periodic orbits of of period . Recent work reach time where is the Ehrenfest time, and is the Lyapounov coefficient. Using a semi-classical normal form...