On the mulitplier of a repelling fixed point.
Displaying 81 – 100 of 140
On the primary orbits of star maps (second part: spiral orbits)
Lluís Alsedà, José Miguel Moreno (2002)
Applicationes Mathematicae
This paper is the second part of [2] and is devoted to the study of the spiral orbits of self maps of the 4-star with the branching point fixed, completing the characterization of the strongly directed primary orbits for such maps.
On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces
Marcin Mazur (2013)
Annales Polonici Mathematici
We give necessary and sufficient conditions for topological hyperbolicity of a homeomorphism of a metric space, restricted to a given compact invariant set. These conditions are related to the existence of an appropriate finite covering of this set and a corresponding cone-hyperbolic graph-directed iterated function system.
On the structure of minimal attraction centers of recurrent trajectories of continuous maps of the interval.
Sivak, A.G. (1994)
Acta Mathematica Universitatis Comenianae. New Series
On the topological dynamics and phase-locking renormalization of Lorenz-like maps
Lluis Alsedà, Antonio Falcó (2003)
Annales de l’institut Fourier
The aim of this paper is twofold. First we give a characterization of the set of kneading invariants for the class of Lorenz–like maps considered as a map of the circle of degree one with one discontinuity. In a second step we will consider the subclass of the Lorenz– like maps generated by the class of Lorenz maps in the interval. For this class of maps we give a characterization of the set of renormalizable maps with rotation interval degenerate to a rational number, that is, of phase–locking...
On time reparametrizations and isomorphisms of impulsive dynamical systems
Krzysztof Ciesielski (2004)
Annales Polonici Mathematici
We prove that for a given impulsive dynamical system there exists an isomorphism of the basic dynamical system such that in the new system equipped with the same impulse function each impulsive trajectory is global, i.e. the resulting dynamics is defined for all positive times. We also prove that for a given impulsive system it is possible to change the topology in the phase space so that we may consider the system as a semidynamical system (without impulses).
On top spaces.
Molaei, M.R., Khadekar, G.S., Farhangdost, M.R. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
One dimensional dynamics and factors of finite automata
P. Kúrka (1993)
Acta Universitatis Carolinae. Mathematica et Physica
Periodic billiard orbits in right triangles
Serge Troubetzkoy (2005)
Annales de l’institut Fourier
There is an open set of right triangles such that for each irrational triangle in this set (i) periodic billiards orbits are dense in the phase space, (ii) there is a unique nonsingular perpendicular billiard orbit which is not periodic, and (iii) the perpendicular periodic orbits fill the corresponding invariant surface.
Periodic orbits of certain Hénon-like maps
Michal Fečkan (1993)
Mathematica Slovaca
Periodic points and bifurcation of one-dimensional maps
J. Ombach (1985)
Applicationes Mathematicae
Periodic points for maps in
Pavla Šnyrychová (2003)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Periodic points, multiplicities, and dynamical units.
Joseph H. Silverman, Patrick Morton (1995)
Journal für die reine und angewandte Mathematik
Periods of periodic points for transitive degree one maps of the circle with a fixed point.
Hidalgo, M.C. (1992)
Acta Mathematica Universitatis Comenianae. New Series
Points périodiques des automorphismes affines.
Laurent Denis (1995)
Journal für die reine und angewandte Mathematik
⊗-product of Markov matrices.
J. P. Lampreia, A. Rica da Silva, J. Sousa Ramos (1988)
Stochastica
In this paper we introduce a ⊗-operation over Markov transition matrices, in the context of subshift of finite type, reproducing symbolic properties of the iterates of the critical point on a one-parameter family of unimodal maps. To the *-product between kneading sequences we associate a ⊗-product between the corresponding Markov matrices.
Progress of iteration theory since 1981.
György Targonski (1995)
Aequationes mathematicae
Propriétés arithmétiques et dynamiques du fractal de Rauzy
Ali Messaoudi (1998)
Journal de théorie des nombres de Bordeaux
Dans ce travail, nous construisons explicitement deux isomorphismes métriques partout continus. L’un entre le système dynamique symbolique associé à la substitution et une rotation sur le tore ; l’autre, entre le système adique stationnaire [33] associé à la matrice de la substitution et la même rotation. Pour cela, nous étudions les propriétés arithmétiques de la frontière d’un ensemble compact de appelé “fractal de Rauzy”. Les constructions se généralisent aux substitutions de la forme ...
P-sets and minimal right ideals in ℕ*
W. R. Brian (2015)
Fundamenta Mathematicae
Recall that a P-set is a closed set X such that the intersection of countably many neighborhoods of X is again a neighborhood of X. We show that if 𝔱 = 𝔠 then there is a minimal right ideal of (βℕ,+) that is also a P-set. We also show that the existence of such P-sets implies the existence of P-points; in particular, it is consistent with ZFC that no minimal right ideal is a P-set. As an application of these results, we prove that it is both consistent with and independent of ZFC that the shift...
Random permutations and unique fully supported ergodicity for the Euler adic transformation
Sarah Bailey Frick, Karl Petersen (2008)
Annales de l'I.H.P. Probabilités et statistiques
There is only one fully supported ergodic invariant probability measure for the adic transformation on the space of infinite paths in the graph that underlies the eulerian numbers. This result may partially justify a frequent assumption about the equidistribution of random permutations.