Published: 1999-09-30

Unbounded not diverging trajectories in maps with a vanishing denominator

Gian-Italo Bischi , Laura Gardini , Christian Mira

Abstract

Maps with a denominator which vanishes in a subset of the phase space may generate unbounded trajectories which are not divergent, i.e. trajectories involving arbitrarily large values of the dynamic variables but which are not attracted to infinity. In this paper we propose some simple one-dimensional and two-dimensional recurrences which generate unbounded chaotic sequences, and through these examples we try to explain the basic mechanisms and bifurcations leading to the creation of unbounded sets of attraction.

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Citation rules

Bischi, G.-I., Gardini, L., & Mira, C. (1999). Unbounded not diverging trajectories in maps with a vanishing denominator. Annales Mathematicae Silesianae, 13, 91–102. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14140

Domyślna okładka

Vol. 13 (1999)
Published: 1999-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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