Linear fractional recurrences: periodicities and integrability

DOI10.5802/afst.1304zbMath1267.37052arXiv0910.4409OpenAlexW2963699982MaRDI QIDQ639727

Kyounghee Kim, Eric Bedford

Publication date: 11 October 2011

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4409

zbMATH Keywords

birational mapsnon-periodicitylinear fractional recurrences

Mathematics Subject Classification ID

Rational and birational maps (14E05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems over complex numbers (37F99)

Related Items (6)

Some dynamical properties of pseudo-automorphisms in dimension 3 ⋮ Different Approaches to the Global Periodicity Problem ⋮ Entropy of real rational surface automorphisms: actions on the fundamental groups ⋮ Linear fractional recurrences: periodicities and integrability ⋮ Extensions and their minimizations on the Sierpinski gasket ⋮ Dynamics of the birational maps arising from \(F_0\) and \(dP_3\) quivers

Cites Work

• Linear fractional recurrences: periodicities and integrability
• Periodicities in linear fractional recurrences: degree growth of birational surface maps
• Some invariants for \(k\)th-order Lyness equation.
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• Dynamics of bimeromorphic maps of surfaces
• How to find the conserved quantities of nonlinear discrete equations
• DYNAMICS OF SOME RATIONAL DISCRETE DYNAMICAL SYSTEMS VIA INVARIANTS
• Some properties of thek-dimensional Lyness' map
• Invariant Curves and Focal Points in a Lyness Iterative Process
• Dynamics of the third order Lyness' difference equation
• Some periodic and non-periodic recursions
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