Rotation sets for some non-continuous maps of degree one.
Rotation sets for subshifts of finite type
For a dynamical system (X,f) and a function the rotation set is defined. The case when (X,f) is a transitive subshift of finite type and φ depends on the cylinders of length 2 is studied. Then the rotation set is a convex polyhedron. The rotation vectors of periodic points are dense in the rotation set. Every interior point of the rotation set is a rotation vector of an ergodic measure.
R-torsion and zeta functions for locally symmetric manifolds.
Ruelle operator with nonexpansive IFS
The Ruelle operator and the associated Perron-Frobenius property have been extensively studied in dynamical systems. Recently the theory has been adapted to iterated function systems (IFS) , where the ’s are contractive self-maps on a compact subset and the ’s are positive Dini functions on X [FL]. In this paper we consider Ruelle operators defined by weakly contractive IFS and nonexpansive IFS. It is known that in such cases, positive bounded eigenfunctions may not exist in general. Our theorems...
Saddle-focus singular cycles and prevalence of hyperbolicity
Saddles for expansive flows with the pseudo orbits tracing property
Let F be an expansive flow with the pseudo orbits tracing property on a compact metric space X. Suppose X is connected, locally connected and contains at least two distinct orbits. Then any point is a saddle.
Sand pile automata
Šarkovského věta a diferenciální rovnice
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