Bifurcations in 2D Spatiotemporal Maps
| Autor: | Abdel-Kaddous Taha, Louis Randriamihamison, Mohamed Lamine Sahari |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | International Journal of Bifurcation and Chaos. 31:2150091 |
| ISSN: | 1793-6551 0218-1274 |
| DOI: | 10.1142/s0218127421500917 |
| Popis: | In this work, we give theoretical and numerical analyses for local bifurcations of 2D spatiotemporal discrete systems of the form [Formula: see text] where [Formula: see text] is a real nonlinear function, [Formula: see text] and [Formula: see text] are two independent integer variables, representing respectively a spatial coordinate and the time. On the basis of the spectral theory, we derive the conditions under which the local bifurcations such as flip and fold occur at the fixed points for some parameter values. As a case-study, a quite complex system, [Formula: see text]D spatiotemporal dynamic given by two coupled logistic maps, named [Formula: see text]D logistic coupled maps ([Formula: see text]D-LCM) is considered. The proposed map provides a reliable experimental and theoretical basis for identifying some cases of local bifurcations. |
| Databáze: | OpenAIRE |
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