Displaying similar documents to “On Computer-Assisted Proving The Existence Of Periodic And Bounded Orbits”

On the C⁰-closing lemma

Anna A. Kwiecińska (1996)

Annales Polonici Mathematici

Similarity:

A proof of the C⁰-closing lemma for noninvertible discrete dynamical systems and its extension to the noncompact case are presented.

Dynamical systems with Newtonian type potentials

Marco Degiovanni, Fabio Giannoni, Antonio Marino (1987)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

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.