Exploració per tema "Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems"
Ara es mostren els items 1-20 de 92
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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 approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of T<sup>2</sup>
(1999)
Article
Accés obertWe give a proof based in geometric perturbation theory of a result proved by J.N. Mather using variational methods. Namely, the existence of orbits with unbounded energy in perturbations of a generic geodesic flow in T^2 ... -
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 KAM theorem without action-angle variables for elliptic lower dimensional tori
(2010-02-15)
Report de recerca
Accés obertWe study elliptic lower dimensional invariant tori of Hamiltonian systems via parameterizations. The method is based in solving iteratively the functional equations that stand for invariance and reducibility. In contrast ... -
A new approach to the parameterization method for Lagrangian tori of hamiltonian systems
(2016-10-18)
Article
Accés obertWe compute invariant Lagrangian tori of analytic Hamiltonian systems by the parameterization method. Under Kolmogorov’s non-degeneracy condition, we look for an invariant torus of the system carrying quasi-periodic motion ... -
A new averaging-extrapolation method for quasi-periodic frequency refinement
(2022-10)
Article
Accés restringit per política de l'editorialIn a recent work, we presented an averaging-extrapolation approach for the numerical computa- tion of frequencies and amplitudes of a discrete-time quasi-periodic signal. This approach assumes analyticity of the signal and ... -
A new Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity
(2022-03-15)
Article
Accés obertThis paper presents a new Updated Reference Lagrangian Smooth Particle Hydrodynamics (SPH) algorithm for the analysis of large deformation isothermal elasticity and elasto-plasticity. Taking as point of departure a Total ... -
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 ... -
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 ... -
Backlund transformations on coadjoint orbits of the loop algebra gl(n)
(2003)
Article
Accés obertThere is a wide class of integrable Hamiltonian systems on finite-dimensional coadjoint orbits of the loop algebra ˜ gl(r) which are represented by r × r Lax equations with a rational spectral parameter.A reduced complex ... -
Bi-asymptotic billiard orbits inside perturbed ellipsoids
(2001)
Article
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® ... -
Conservació de l'estructura PHS en reduccions d'ordre per truncament equilibrat
(2008-01-16)
Report de recerca
Accés obert -
Constrained Lagrangian dissipative contact dynamics
(2021-12-28)
Article
Accés obertWe show that the contact dynamics obtained from the Herglotz variational principle can be described as a constrained nonholonomic or vakonomic ordinary Lagrangian system depending on a dissipative variable with an adequate ... -
Contact structures with singularities: from local to global
(Elsevier, 2023-10-01)
Article
Accés obertIn this article we introduce and analyze in detail singular contact structures, with an emphasis on bm -contact structures, which are tangent to a given smooth hypersurface Z and satisfy certain transversality conditions. ... -
Continuous and discrete neumann systems on stiefel varieties as matrix generalizations of the jacobi-mumford systems
(2021-06-01)
Article
Accés obertWe study geometric and algebraic geometric properties of the continuous and discrete Neumann systems on cotangent bundles of Stiefel varieties Vn,r. The systems are integrable in the non-commutative sense, and by applying ... -
Correction to: exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies
(2023-04)
Article
Accés obert -
Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma
(2000)
Article
Accés obertWe consider differentiable maps having an invariant torus with normal behavior having a central part. We prove the existence and regularity of pseudostable manifolds and regularity with respect to parameters. Then we ... -
Discrete nonholonomic LL systems on Lie groups
(2003)
Article
Accés obertThis paper applies the recently developed theory of discrete nonholonomic mechanics to the study of discrete nonholonomic left-invariant dynamics on Lie groups. The theory is illustrated with the discrete versions of two ...