Dynamical systems on Riemannian manifolds. (Systèmes dynamiques sur des espaces de Riemann.)
Dynamical systems on vector bundles.
Dynamical systems -- past and present.
Dynamical systems with multiplicative perturbations: the strong convergence of measures
We give sufficient conditions for the strong asymptotic stability of the distributions of dynamical systems with multiplicative perturbations. We apply our results to iterated function systems.
Dynamical systems with Newtonian type potentials
We study the existence of regular periodic solutions to some dynamical systems whose potential energy is negative, has only a singular point and goes to zero at iniìnity. We give sufficient conditions to the existence of periodic solutions of assigned period which do not meet the singularity.
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 in the moduli space of Abelian differentials.
Dynamics of a certain sequence of powers.
Dynamics of a Lotka-Volterra map
Given the plane triangle with vertices (0,0), (0,4) and (4,0) and the transformation F: (x,y) ↦ (x(4-x-y),xy) introduced by A. N. Sharkovskiĭ, we prove the existence of the following objects: a unique invariant curve of spiral type, a periodic trajectory of period 4 (given explicitly) and a periodic trajectory of period 5 (described approximately). Also, we give a decomposition of the triangle which helps to understand the global dynamics of this discrete system which is linked with the behavior...
Dynamics of a nonautonomous Leslie-Gower type food chain model with delays.
Dynamics of a predator-prey system concerning biological and chemical controls.
Dynamics of a stage structure pest control model with impulsive effects at different fixed time.
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 certain nonconformal degree-two maps of the plane.
Dynamics of circle maps with flat spots
We study a certain class of weakly order preserving, non-invertible circle maps with irrational rotation numbers and exactly one flat interval. For this class of circle maps we explain the geometric and dynamic structure of orbits. In particular, we formulate the so called upper and lower scaling rules which show an asymmetric and double exponential decay of geometry.