Exploració per tema "Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics"
Ara es mostren els items 1-20 de 87
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A combined reduced order-full order methodology for the solution of 3D magneto-mechanical problems with application to magnetic resonance imaging scanners
(2020-01-01)
Article
Accés obertThe design of a new magnetic resonance imaging (MRI) scanner requires multiple numerical simulations of the same magneto-mechanical problem for varying model parameters, such as frequency and electric conductivity, in order ... -
A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold
(2020)
Article
Accés obertWe describe a recent method to show instability in Hamiltonian systems. The main hypothesis of the method is that some explicit transversality conditions – which can be verified in concrete systems by finite calculations ... -
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model.
(2003)
Article
Accés obertWe introduce a geometric mechanism for di?usion in a priori unstable nearly integrable dynamical systems. It is based on the observation that resonances, besides destroying the primary KAM tori, create secondary tori and ... -
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results
(2003)
Article
Accés obertWe present a geometric mechanism for diffusion in Hamiltonian systems. We also present tools that allow to verify it in a concrete model. In particular, we verify it in a system which presents the large gap problem. -
A robust updated lagrangian smooth particle hydrodynamics for fast solid dynamics
(Association for Computing Machinery (ACM), 2021)
Comunicació de congrés
Accés restringit per política de l'editorialThis paper introduces a new Incremental Updated Lagrangian Smooth Particle Hydrodynamics (SPH) computational framework in the form of a system of first order conservation laws. Specifically, the linear momentum conservation ... -
A summary on symmetries and conserved quantities of autonomous Hamiltonian systems
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2020)
Article
Accés obertA complete geometric classification of symmetries of autonomous Hamiltonian systems is established; explaining how to obtain their associated conserved quantities in all cases. In particular, first we review well-known ... -
Adiabatic invariant of the harmonic oscillator, complex matching and resurgence
(1997)
Article
Accés obertThe 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 ... -
Algebraic description of jacobians isogeneous to certain prym varieties with polarization (1,2)
(2018-01-01)
Article
Accés obertFor a class of non-hyperelliptic genus 3 curves C which are twofold coverings of elliptic curves E, we give an explicit algebraic description of all birationally nonequivalent genus 2 curves whose Jacobians are degree 2 ... -
An ellipsoidal billiard with a quadratic potential
(2003)
Article
Accés obertThere exists an in infite hierarchy of integrable generalizations of the geodesic flow on an n -di- mensional ellipsoid.hese generalizations describe the motion of a point in the force fields of certain polynomial potentials.In ... -
An overview of the Hamilton–Jacobi theory: the classical and geometrical approaches and some extensions and applications
(Multidisciplinary Digital Publishing Institute (MDPI), 2021-01-01)
Article
Accés obertThis work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations ... -
Arbitrary Lagrangian–Eulerian methods
(Wiley, 2017-12-15)
Capítol de llibre
Accés restringit per política de l'editorialThis chapter presents an overview of some computational methods for the analysis of problems in ship hydrodynamics. Attention is focused on the description of stabilized finite element formulations derived via a finite ... -
Asymptotic behaviour of the domain of analyticity of invariant curves of the standard map
(1999)
Article
Accés obertIn this paper we consider the standard map, and we study the invariant curve obtained by analytical continuation, with respect to the perturbative parameter E, of the invariant circle of rotation number the golden mean ... -
Bifurcation at complex instability
(1995)
Article
Accés obertIn an autonomous Hamiltonian system with three or more degrees of freedom, a family of periodic orbits may become unstable when two pairs of characteristic multipliers coallesce on the unit circle at points not equal to ... -
Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation
(2022-10-29)
Article
Accés obertThe Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies, called the primaries. If the primaries perform circular motions and the massless body ... -
Central configurations on the charged three-body problem
(1996)
Capítol de llibre
Accés obert -
Closed Geodesics and Billiards on Quadrics related to elliptic KdV solutions
(2004)
Article
Accés obertWe consider algebraic geometrical properties of the integrable billiard on a quadric Q with elastic impacts along another quadric confocal to Q. These properties are in sharp contrast with those of the ellipsoidal Birkho® ... -
Constraint algorithm for extremals in optimal control problems
(2007-07-27)
Article
Accés obertA characterization of different kinds of extremals of optimal control problems is given if we take an open control set. A well known constraint algorithm for implicit differential equations is adapted to the study of ... -
Constraint algorithm for k-presymplectic Hamiltonian systems. Application to singular field theories
(2009-03-10)
Working paper
Accés obertThe k-symplectic formulation of field theories is especially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic ... -
Constraint algorithm for k-presymplectic hamiltonian systems: application to singular field theories
(World Scientific and Engineering Academy and Society (WSEAS), 2009-08-01)
Article
Accés obertThe k-symplectic formulation of field theories is specially simple, since only tangent and cotangent bundles are needed in its description. Its defining elements show a close relationship with those in the symplectic formulation ... -
Constraint algorithm for singular field theories in the k-cosymplectic framework
(American Institute of Mathematical Sciences, 2020-03-15)
Article
Accés obertThe aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of k-cosymplectic geometry. Since these field theories are singular, we need to introduce the notion of ...