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Title:
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Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version)
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Author:
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Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
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Abstract:
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Preprint. Versió revisada i augmentada d'un anterior report homònim. |
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Abstract:
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This paper studies non-autonomous Lyness type recurrences of the form xn+2 = (an+xn+1)=xn, where fang is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k 2 f1; 2; 3; 6g the behavior of the sequence fxng is simple (integrable) while for the remaining cases satisfying this behavior can be much more complicated (chaotic). We also show that the cases where k is a multiple of 5 present some di erent features. |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
-Differential equations
-Differentiable dynamical systems
-Integrability and non-integrability of discrete systems
-Numerical chaos
-Periodic difference equations
-QRT maps
-Rational and meromorphic first integrals
-Equacions diferencials
-Sistemes dinàmics diferenciables
-Classificació AMS::39 Difference and functional equations::39A Difference equations
-Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory |
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Rights:
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Document type:
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Article - Draft
Other |
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