Dynamic properties of cellular neural networks.
Dynamical systems and the homology norm of a 3-manifold II.
Dynamical systems arising from elliptic curves
We exhibit a family of dynamical systems arising from rational points on elliptic curves in an attempt to mimic the familiar toral automorphisms. At the non-archimedean primes, a continuous map is constructed on the local elliptic curve whose topological entropy is given by the local canonical height. Also, a precise formula for the periodic points is given. There follows a discussion of how these local results may be glued together to give a map on the adelic curve. We are able to give a map whose...
Dynamical zeta functions and Kummer congruences
Dynamical zeta functions, congruences in Nielsen theory and Reidemeister torsion
In this paper we prove trace formulas for the Reidemeister numbers of group endomorphisms and the rationality of the Reidemeister zeta function in the following cases: the group is finitely generated and the endomorphism is eventually commutative; the group is finite; the group is a direct sum of a finite group and a finitely generated free Abelian group; the group is finitely generated, nilpotent and torsion free. We connect the Reidemeister zeta function of an endomorphism of a direct sum of a...
Dynamically defined Cantor sets under the conditions of McDuff's conjecture
We prove that if the Cantor set K, dynamically defined by a function , satisfies the conditions of McDuff’s conjecture then it cannot be C¹-minimal.
Dynamické systémy s regulární pravou stranou. I
Dynamické systémy s regulární pravou stranou. II
Dynamics in binary neural networks with a finite number of patterns. I: General picture of the asynchronous zero temperature dynamics.
Dynamics of an artificial slope
The slope shape is replaced by a 3D regression function which corresponds with high precision to the position of several hundred points which were determined on the surface of the slope body. The position of several points was repeatedly measured for several years. The time changes in the position of these points were used to create regression functions that describe vertical movements, slope settlement and horizontal movements, slope movement. The model results are presented in the form of mathematical...
Dynamics of delayed piecewise linear systems.
Dynamics of logistic equations with non-autonomous bounded coefficients.
Dynamics of out on the boundary of outer space
Dynamics of symmetric holomorphic maps on projective spaces.
We consider complex dynamics of a critically finite holomorphic map from Pk to Pk, which has symmetries associated with the symmetric group Sk+2 acting on Pk, for each k ≥1. The Fatou set of each map of this family consists of attractive basins of superattracting points. Each map of this family satisfies Axiom A.
Dynamics of the continued fraction map and the spectral theory of SL (2, Z).
Dynamics of the radix expansion map.
Dynamics on Thurston's sphere of projective measured foliations.
Dynamique des échanges d’intervalles des groupes de Higman-Thompson
Dans cet article, nous étudions la dynamique des échanges d’intervalles affines dont les pentes sont des puissances d’un même entier et dont les coupures et leurs images sont des rationnels. Nous montrons qu’une telle application a une dynamique très simple : toutes ses orbites sont propres et elle possède au moins une orbite périodique ou un cycle périodique. Comme corollaire de ce résultat, nous montrons que les éléments de distortion dans les groupes de Higman-Thompson sont ceux d’ordre...
Dynamique des homéomorphismes du plan au voisinage d'un point fixe
Dynamique générique des feuilletages transversalement affines des surfaces