Attractors for maps with fractional inverse

Attractors for maps with fractional inverse

In this work, we consider some dynamical properties and specific contact bifurcations of two-dimensional maps having an inverse with vanishing denominator. We introduce new concepts and notions of focal points and prefocal curves which may cause and generate new dynamic phenomena. We put in evidence...

Full description

Bibliographic Details
Main Authors: M. R. Ferchichi, I. Djellit
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS.2005.343
id doaj-9991b177944a4d39bb0a177855bcd868
record_format Article
spelling doaj-9991b177944a4d39bb0a177855bcd8682020-11-24T23:52:07ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2005-01-012005334335510.1155/DDNS.2005.343Attractors for maps with fractional inverseM. R. Ferchichi0I. Djellit1Department of Mathematics, Faculty of Sciences, University of Annaba, BP 12, Annaba 23000, AlgeriaDepartment of Mathematics, Faculty of Sciences, University of Annaba, BP 12, Annaba 23000, AlgeriaIn this work, we consider some dynamical properties and specific contact bifurcations of two-dimensional maps having an inverse with vanishing denominator. We introduce new concepts and notions of focal points and prefocal curves which may cause and generate new dynamic phenomena. We put in evidence a link existing between basin bifurcation of a map with fractional inverse and the prefocal curve of this inverse.http://dx.doi.org/10.1155/DDNS.2005.343
collection DOAJ
language English
format Article
sources DOAJ
author M. R. Ferchichi
I. Djellit
spellingShingle M. R. Ferchichi
I. Djellit
Attractors for maps with fractional inverse
Discrete Dynamics in Nature and Society
author_facet M. R. Ferchichi
I. Djellit
author_sort M. R. Ferchichi
title Attractors for maps with fractional inverse
title_short Attractors for maps with fractional inverse
title_full Attractors for maps with fractional inverse
title_fullStr Attractors for maps with fractional inverse
title_full_unstemmed Attractors for maps with fractional inverse
title_sort attractors for maps with fractional inverse
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2005-01-01
description In this work, we consider some dynamical properties and specific contact bifurcations of two-dimensional maps having an inverse with vanishing denominator. We introduce new concepts and notions of focal points and prefocal curves which may cause and generate new dynamic phenomena. We put in evidence a link existing between basin bifurcation of a map with fractional inverse and the prefocal curve of this inverse.
url http://dx.doi.org/10.1155/DDNS.2005.343
work_keys_str_mv AT mrferchichi attractorsformapswithfractionalinverse
AT idjellit attractorsformapswithfractionalinverse
_version_ 1725474872043241472

Similar Items