Search Results - Classificació AMS::39 Difference and functional equations::39A Difference equations

Bifurcation of 2-periodic orbits from non-hyperbolic fixed points by Cima, Anna, Gasull, Armengol, Mañosa, Víctor

“…We introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of…”
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Boundary value problems for second order linear difference equations: application to the computation of the inverse of generalized Jacobi matrices by Encinas, A. M., Jiménez, M. J.

“…We have named generalized Jacobi matrices to those that are practically tridiagonal, except for the two final entries and the two first entries of its first…”
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Non-integrability of measure preserving maps via Lie symmetries by Cima, Anna, Gasull, Armengol, Mañosa, Víctor

“… The obtained criterion can be applied to prove the local non-integrability of the Cohen map and of several rational maps coming from second order difference equations…”
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Floquet theory for second order linear homogeneous difference equations by Encinas, A.M., Jiménez, M.J.

“…In this paper we provide a version of the Floquet's theorem to be applied to any second order difference equations with quasi-periodic coefficients…”
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Lie symmetries of birational maps preserving genus 0 fibrations by Llorens, Mireia, Mañosa, Víctor

“…We prove that any planar birational integrable map, which preserves a fibration given by genus 0 curves has a Lie symmetry and some associated invariant…”
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Combinatorial Recurrences and Linear Difference Equations by Jiménez, M. José, Encinas, Andrés M.

“…In this work we introduce the triangular arrays of depth greater than 1 given by linear recurrences, that generalize some well-known recurrences that appear in…”
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On 2- and 3-periodic Lyness difference equations by Cima, Anna, Gasull, Armengol, Mañosa, Víctor

“…We describe the sequences given by the non-autonomous second-order Lyness difference equations , where is either a 2-periodic or a 3-periodic sequence of positive values and the initial conditions are also positive…”
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Basin of attraction of triangular maps with applications by Cima, Anna, Gasull, Armengol, Mañosa, Víctor

“…We consider planar triangular maps . These maps preserve the fibration of the plane given by . We assume that there exists an invariant attracting fibre for…”
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Integrability and non-integrability of periodic non-autonomous Lyness recurrences by Cima, Anna, Gasull, Armengol, Mañosa, Víctor

“…This paper studies non-autonomous Lyness-type recurrences of the form x n+2 = (a n + x n+1 )/x n , where {a n } is a k-periodic sequence of positive numbers…”
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