Analytical investigation of the onset of bifurcation cascade in two logistic-like maps
Two modifications of the classical one-dimensional logistic map are proposed, which permitted analytical study of the onset of the bifurcation (period doubling) cascade. The modified maps are two-parametric ones. This introduces new features in their behaviour and makes them more flexible. The resu...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022601000036 |
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| _version_ | 1832553233161125888 |
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| author | S. Panchev |
| author_facet | S. Panchev |
| author_sort | S. Panchev |
| collection | DOAJ |
| description | Two modifications of the classical one-dimensional logistic map are proposed, which permitted analytical study of the onset of the bifurcation (period doubling) cascade. The modified maps are two-parametric ones. This introduces new features in their behaviour
and makes them more flexible. The results can prove to be useful in the ecological (population dynamics) modeling, where the logistic map is a basic model and also in other fields of application. |
| format | Article |
| id | doaj-art-f4cf6e51f59c42fca00f323b9990259f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f4cf6e51f59c42fca00f323b9990259f2025-02-03T05:55:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2001-01-0161313510.1155/S1026022601000036Analytical investigation of the onset of bifurcation cascade in two logistic-like mapsS. Panchev0Department of Meteorology and Geophysics, Faculty of Physics, University of Sofia, BulgariaTwo modifications of the classical one-dimensional logistic map are proposed, which permitted analytical study of the onset of the bifurcation (period doubling) cascade. The modified maps are two-parametric ones. This introduces new features in their behaviour and makes them more flexible. The results can prove to be useful in the ecological (population dynamics) modeling, where the logistic map is a basic model and also in other fields of application.http://dx.doi.org/10.1155/S1026022601000036Fixed points; Stability; Bifurcation cascade; Chaos. |
| spellingShingle | S. Panchev Analytical investigation of the onset of bifurcation cascade in two logistic-like maps Discrete Dynamics in Nature and Society Fixed points; Stability; Bifurcation cascade; Chaos. |
| title | Analytical investigation of the onset of bifurcation cascade in two logistic-like maps |
| title_full | Analytical investigation of the onset of bifurcation cascade in two logistic-like maps |
| title_fullStr | Analytical investigation of the onset of bifurcation cascade in two logistic-like maps |
| title_full_unstemmed | Analytical investigation of the onset of bifurcation cascade in two logistic-like maps |
| title_short | Analytical investigation of the onset of bifurcation cascade in two logistic-like maps |
| title_sort | analytical investigation of the onset of bifurcation cascade in two logistic like maps |
| topic | Fixed points; Stability; Bifurcation cascade; Chaos. |
| url | http://dx.doi.org/10.1155/S1026022601000036 |
| work_keys_str_mv | AT spanchev analyticalinvestigationoftheonsetofbifurcationcascadeintwologisticlikemaps |