New periodic recurrences with applications |
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Authors: | Anna Cima Francesc Mañosas |
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Institution: | Dept. de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain |
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Abstract: | We develop two methods for constructing several new and explicit m-periodic difference equations. Then we apply our results to two different problems. Firstly we show that two simple natural conditions appearing in the literature are not necessary conditions for the global periodicity of the difference equations. Secondly we present the first explicit non-linear analytic potential differential system having a global isochronous center. |
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Keywords: | Globally periodic difference equations Recurrences Involutions Centers Isochronous potential systems |
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