Punts d'equilibri globalment atractors
Abstract
An equilibrium point of a continuous or discrete dynamical system is a global attractor if the orbit of any point tends to the equilibrium when time tends to infinity. In this article we deal with the problem of giving sufficient conditions for an equilibrium point of a dynamical system to be a global attractor. In particular, we deal with continuous and discrete Markus-Yamabe problems and Lasalle conditions. We obtain some affirmative answers to the existence of a global attractor and we find some examples that do not exhibit it. Lastly, we detail a case in which the problem is not solved. The presented results have been obtained in collaboration with Armengol Gasull and Francesc Mañosas, and have been taken from the common articles cited in the bibliography.
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Published
2022-02-14
How to Cite
Cima, A. (2022). Punts d’equilibri globalment atractors. Butlletí De La Societat Catalana De Matemàtiques, 36(2), 121–152. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/112388.003
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