Displaying similar documents to “The simplest 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.

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.

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...

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.

Pseudo-categories.

Martins-Ferreira, N. (2006)

Journal of Homotopy and Related Structures

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A note on dynamical zeta functions for S-unimodal maps

Gerhard Keller (2000)

Colloquium Mathematicae

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Let f be a nonrenormalizable S-unimodal map. We prove that f is a Collet-Eckmann map if its dynamical zeta function looks like that of a uniformly hyperbolic map.