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Adiabatic invariant of the harmonic oscillator, complex matching and resurgence
dc.contributor.author | Bonet Revés, Carles |
dc.contributor.author | Sauzin, D. |
dc.contributor.author | Martínez-Seara Alonso, M. Teresa |
dc.contributor.author | València Guitart, Marta |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-05-03T17:23:13Z |
dc.date.available | 2007-05-03T17:23:13Z |
dc.date.issued | 1997 |
dc.identifier.uri | http://hdl.handle.net/2117/857 |
dc.description.abstract | The linear oscillator equation with a frequency depending slowly on time is used to test a method to compute exponentially small quantities. This work present the matching method in the complex plane as a tool to obtain rigorously the asymptotic variation of the action of the associated hamiltonian beyond all orders. The solution in the complex plane is aproximated by a series in which all terms present a singularity at the same point. Following matching techniques near this singularity one is led to an equation which does not depend on any parameter, the so-called inner equation, of a Riccati type. This equation is studied by resurgence methods. |
dc.format.extent | 31 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Differential equations |
dc.subject.other | Equacions diferencials ordinàries |
dc.title | Adiabatic invariant of the harmonic oscillator, complex matching and resurgence |
dc.type | Article |
dc.subject.lemac | Equacions diferencials ordinàries |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34C Qualitative theory |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34A General theory |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34E Asymptotic theory |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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