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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS.2005.343 |
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| _version_ | 1832563169816477696 |
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| author | M. R. Ferchichi I. Djellit |
| author_facet | M. R. Ferchichi I. Djellit |
| author_sort | M. R. Ferchichi |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-9991b177944a4d39bb0a177855bcd868 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9991b177944a4d39bb0a177855bcd8682025-02-03T01:20:53ZengWileyDiscrete 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 |
| spellingShingle | M. R. Ferchichi I. Djellit Attractors for maps with fractional inverse Discrete Dynamics in Nature and Society |
| title | 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_short | Attractors for maps with fractional inverse |
| title_sort | attractors for maps with fractional inverse |
| url | http://dx.doi.org/10.1155/DDNS.2005.343 |
| work_keys_str_mv | AT mrferchichi attractorsformapswithfractionalinverse AT idjellit attractorsformapswithfractionalinverse |