Non-integrability of measure preserving maps via Lie symmetries

We consider the problem of characterizing, for certain natural number m, the local Cm-non-integrability near elliptic fixed points of smooth planar measure preserving maps. Our criterion relates this non-integrability with the existence of some Lie Symmetries associated to the maps, together with th...

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Vydáno v:	Journal of Differential Equations Ročník 259; číslo 10; s. 5115 - 5136
Hlavní autoři:	Cima, Anna, Gasull, Armengol, Mañosa, Víctor
Médium:	Journal Article Publikace
Jazyk:	angličtina
Vydáno:	Elsevier Inc 15.11.2015
Témata:	34 Ordinary differential equations 34C Qualitative theory 37 Dynamical systems and ergodic theory 37C Smooth dynamical systems: general theory 37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems 39 Difference and functional equations 39A Difference equations Classificació AMS Cohen map difference equations Differentiable dynamical systems Differential equations Equacions diferencials i integrals Equacions diferencials ordinàries Integrability and non-integrability of maps Integrable vector fields isochronous centers Lie symmetries Matemàtiques i estadística Measure preserving maps Period function Sistemes dinàmics diferenciables Àrees temàtiques de la UPC Integrability and non-integrability of maps 34C14 Integrable vector fields Lie symmetries Measure preserving maps 39A05 Period function 37C25 Cohen map 37J30
ISSN:	0022-0396, 1090-2732
On-line přístup:	Získat plný text
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