Molaei, M. and Karami, M. (2013) Chaotic behavior based on discontinuous maps. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 29 (1). pp. 43-49. ISSN 0866-0174
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Abstract
In this paper a class of chaotic vector fields in R3 is considered. We prove its chaotic behavior by using of the topological entropy of a class of interval maps with finite number of discontinuities. Semi-Lorenz maps from the viewpoint of topological entropy are studied and it is proved that they have positive topological entropies. A kind of bifurcation by presenting a class of one parameter families of interval maps is studied.
| Item Type: | Article |
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| Uncontrolled Keywords: | Topological entropy; Interval maps; Semi-Lorenz map; Chaotic vector fields |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 05 Feb 2024 09:42 |
| Last Modified: | 05 Feb 2024 09:42 |
| URI: | http://real.mtak.hu/id/eprint/187574 |
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