On the Periods of Parallel Dynamical Systems
In this work, we provide conditions to obtain fixed point theorems for parallel dynamical systems over graphs with (Boolean) maxterms and minterms as global evolution operators. In order to do that, we previously prove that periodic orbits of different periods cannot coexist, which implies that Shar...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/7209762 |
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| _version_ | 1849412611911712768 |
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| author | Juan A. Aledo Luis G. Diaz Silvia Martinez Jose C. Valverde |
| author_facet | Juan A. Aledo Luis G. Diaz Silvia Martinez Jose C. Valverde |
| author_sort | Juan A. Aledo |
| collection | DOAJ |
| description | In this work, we provide conditions to obtain fixed point theorems for parallel dynamical systems over graphs with (Boolean) maxterms and minterms as global evolution operators. In order to do that, we previously prove that periodic orbits of different periods cannot coexist, which implies that Sharkovsky’s order is not valid for this kind of dynamical systems. |
| format | Article |
| id | doaj-art-5eed3aa46beb44e0a3dd67ad76427bb1 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5eed3aa46beb44e0a3dd67ad76427bb12025-08-20T03:34:22ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/72097627209762On the Periods of Parallel Dynamical SystemsJuan A. Aledo0Luis G. Diaz1Silvia Martinez2Jose C. Valverde3Research Institute of Applied Mathematics in Science and Engineering, Ciudad Real, SpainResearch Institute of Applied Mathematics in Science and Engineering, Ciudad Real, SpainResearch Institute of Applied Mathematics in Science and Engineering, Ciudad Real, SpainResearch Institute of Applied Mathematics in Science and Engineering, Ciudad Real, SpainIn this work, we provide conditions to obtain fixed point theorems for parallel dynamical systems over graphs with (Boolean) maxterms and minterms as global evolution operators. In order to do that, we previously prove that periodic orbits of different periods cannot coexist, which implies that Sharkovsky’s order is not valid for this kind of dynamical systems.http://dx.doi.org/10.1155/2017/7209762 |
| spellingShingle | Juan A. Aledo Luis G. Diaz Silvia Martinez Jose C. Valverde On the Periods of Parallel Dynamical Systems Complexity |
| title | On the Periods of Parallel Dynamical Systems |
| title_full | On the Periods of Parallel Dynamical Systems |
| title_fullStr | On the Periods of Parallel Dynamical Systems |
| title_full_unstemmed | On the Periods of Parallel Dynamical Systems |
| title_short | On the Periods of Parallel Dynamical Systems |
| title_sort | on the periods of parallel dynamical systems |
| url | http://dx.doi.org/10.1155/2017/7209762 |
| work_keys_str_mv | AT juanaaledo ontheperiodsofparalleldynamicalsystems AT luisgdiaz ontheperiodsofparalleldynamicalsystems AT silviamartinez ontheperiodsofparalleldynamicalsystems AT josecvalverde ontheperiodsofparalleldynamicalsystems |