Photosynthesis as a discrete biochemical process
It is shown that the existence of a multioscillatory and chaotic regime observed in the photosynthesis could be explained on the basis of logistic equations, i.e., using a discrete approach. Transforming known phenomenological differential equations describing the photosynthesis into the discrete fo...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022600000431 |
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| _version_ | 1832551056507142144 |
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| author | M. Štetina J. KrempaskÝ |
| author_facet | M. Štetina J. KrempaskÝ |
| author_sort | M. Štetina |
| collection | DOAJ |
| description | It is shown that the existence of a multioscillatory and chaotic regime observed in the photosynthesis could be explained on the basis of logistic equations, i.e., using a discrete approach. Transforming known phenomenological differential equations describing the photosynthesis into the discrete formalism it is possible to demonstrate that by change of control parameters such equations generate the very well known Feigenbaum‘s scenario of the duplication of states including the possibility of the transition into a chaotic regime. The multioscillatory states characterised by even, and what is surprising, also by odd number of “subcycles” are generated at some special combinations of values of control parameters. |
| format | Article |
| id | doaj-art-82c88b6a05054481a704e807dfa152a7 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-82c88b6a05054481a704e807dfa152a72025-02-03T06:05:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-0152818710.1155/S1026022600000431Photosynthesis as a discrete biochemical processM. Štetina0J. KrempaskÝ1Department of Physics, Faculty of Electrical Engineering and Information Technology, Slovak Technical University, Ilkovičova 3, Bratislava 812 19, SlovakiaDepartment of Physics, Faculty of Electrical Engineering and Information Technology, Slovak Technical University, Ilkovičova 3, Bratislava 812 19, SlovakiaIt is shown that the existence of a multioscillatory and chaotic regime observed in the photosynthesis could be explained on the basis of logistic equations, i.e., using a discrete approach. Transforming known phenomenological differential equations describing the photosynthesis into the discrete formalism it is possible to demonstrate that by change of control parameters such equations generate the very well known Feigenbaum‘s scenario of the duplication of states including the possibility of the transition into a chaotic regime. The multioscillatory states characterised by even, and what is surprising, also by odd number of “subcycles” are generated at some special combinations of values of control parameters.http://dx.doi.org/10.1155/S1026022600000431Photosynthesis; Multioscillatory regime; Chaos; Feigenbaum’s scenario. |
| spellingShingle | M. Štetina J. KrempaskÝ Photosynthesis as a discrete biochemical process Discrete Dynamics in Nature and Society Photosynthesis; Multioscillatory regime; Chaos; Feigenbaum’s scenario. |
| title | Photosynthesis as a discrete biochemical process |
| title_full | Photosynthesis as a discrete biochemical process |
| title_fullStr | Photosynthesis as a discrete biochemical process |
| title_full_unstemmed | Photosynthesis as a discrete biochemical process |
| title_short | Photosynthesis as a discrete biochemical process |
| title_sort | photosynthesis as a discrete biochemical process |
| topic | Photosynthesis; Multioscillatory regime; Chaos; Feigenbaum’s scenario. |
| url | http://dx.doi.org/10.1155/S1026022600000431 |
| work_keys_str_mv | AT mstetina photosynthesisasadiscretebiochemicalprocess AT jkrempasky photosynthesisasadiscretebiochemicalprocess |