Displaying similar documents to “Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings”

The simplest shadowing

Jerzy Ombach (1993)

Annales Polonici Mathematici

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Two different and easy proofs are presented that a hyperbolic linear homeomorphism of a Banach space admits the shadowing.

Pseudo orbit tracing property and fixed points

Masatoshi Oka (1996)

Annales Polonici Mathematici

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If a continuous map f of a compact metric space has the pseudo orbit tracing property and is h-expansive then the set of all fixed points of f is totally disconnected.

One-parameter families of brake orbits in dynamical systems

Lennard Bakker (1999)

Colloquium Mathematicae

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We give a clear and systematic exposition of one-parameter families of brake orbits in dynamical systems on product vector bundles (where the fiber has the same dimension as the base manifold). A generalized definition of a brake orbit is given, and the relationship between brake orbits and periodic orbits is discussed. The brake equation, which implicitly encodes information about the brake orbits of a dynamical system, is defined. Using the brake equation, a one-parameter family of...

E -orbit functions.

Klimyk, Anatoliy U., Patera, Jiri (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Some families of pseudo-processes

J. Kłapyta (1994)

Annales Polonici Mathematici

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We introduce several types of notions of dis persive, completely unstable, Poisson unstable and Lagrange uns table pseudo-processes. We try to answer the question of how many (in the sense of Baire category) pseudo-processes with each of these properties can be defined on the space ℝ m . The connections are discussed between several types of pseudo-processes and their limit sets, prolongations and prolongational limit sets. We also present examples of applications of the above results to...

Saddles for expansive flows with the pseudo orbits tracing property

Jerzy Ombach (1991)

Annales Polonici Mathematici

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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.

Orbit functions.

Klimyk, Anatoliy, Patera, Jiri (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Weak pseudo-complementations on ADL’s

R. Vasu Babu, Ch. Santhi Sundar Raj, B. Venkateswarlu (2014)

Archivum Mathematicum

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The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U. M. Swamy and G. C. Rao [6] as a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebras and Boolean rings. In this paper, we introduce the concept of weak pseudo-complementation on ADL’s and discuss several properties of this.

Eight-shaped Lissajous orbits in the Earth-Moon system

Grégory Archambeau, Philippe Augros, Emmanuel Trélat (2011)

MathematicS In Action

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Euler and Lagrange proved the existence of five equilibrium points in the circular restricted three-body problem. These equilibrium points are known as the Lagrange points (Euler points or libration points) L 1 , ... , L 5 . The existence of families of periodic and quasi-periodic orbits around these points is well known (see [, , , , ]). Among them, halo orbits are 3-dimensional periodic orbits diffeomorphic to circles. They are the first kind of the so-called Lissajous orbits. To be selfcontained,...

Pseudo-categories.

Martins-Ferreira, N. (2006)

Journal of Homotopy and Related Structures

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