Exploració per tema "Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics"
Ara es mostren els items 1-20 de 23
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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 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 ... -
Effective stability for periodically perturbed hamiltonian systems
(1994)
Article
Accés obertIn this work we present a method to bound the diffusion near an elliptic equilibrium point of a periodically time-dependent Hamiltonian system. The method is based on the computation of the normal form (up to a certain ... -
Exponentially small splitting of separatrices under fast quasiperiodic forcing
(1997)
Article
Accés obertWe consider fast quasiperiodic perturbations with two frequencies $(1/\varepsilon,\gamma/\varepsilon)$ of a pendulum, where $\gamma$ is the golden mean number. The complete system has a two-dimensional invariant ... -
Fault detection in hysteretic base-isolation systems via a seismic disturbance observer
(2010)
Comunicació de congrés
Accés obert -
Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems
(2004)
Article
Accés obertIn this paper a method for finding homoclinic and heteroclinic connections between Lyapunov orbits using invariant manifolds in a given energy surface of the planar restricted circular three body problem is developed. Moreover, ... -
Horseshoe periodic orbits for saturn coorbital satellites
(2000)
Article
Accés obertWe consider the motion of coorbital satellites in the framework of the Restricted Three-Body problem for u=6.5*10^(-9). We show a mechanism to generate horsehoe periodic orbits and we compute some families of horseshoe ... -
Horseshoe periodic orbits in the restricted three body problem
(2001)
Article
Accés obert -
Lagrangian coherent structures
(Universitat Politècnica de Catalunya, 2015-05)
Treball Final de Grau
Accés obertReal-life mechanical systems can usually be modeled as non-linear, non-periodic and non-autonomous dynamical systems. It is very important to have different tools to study these systems, and there are many classical ... -
Limit cycles for piecewise linear differential systems via Poincaré–Miranda theorem
(Birkhäuser, 2019)
Capítol de llibre
Accés restringit per política de l'editorialIn Gasull and Mañosa (Periodic orbits of discrete and continuous dynamical systems via Poincaré–Miranda theorem, Preprint 2018 Ref [2]), we develop an effective procedure to prove the existence, determine the number, and ... -
Lindstedt series for lower dimensional tori
(1995)
Article
Accés obertWe consider the existence and effective computation of low-dimensional (less independent frequencies than degrees of freedom) invariant tori of a near-integrable system. Lindstedt method is a systematic procedure to compute ... -
Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach
(2003)
Article
Accés obertWe perform a bifurcation analysis of normal–internal resonances in parametrised families of quasi–periodically forced Hamiltonian oscillators, for small forcing. The unforced system is a one degree of freedom oscillator, ... -
Numerical exploration of the limit ring problem
(2013-04)
Article
Accés obertThe aim of this work is to provide an insight of an idealized model of a planetary ring. The model is a limit case of the planar circular restricted 1 + n body problem, where an infinitesimal particle moves under the ... -
On co-orbital quasi-periodic motion in the three-body problem
(2019-01-01)
Article
Accés obertWithin the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM $4$-tori related to the co-orbital motion of two small moons about a large planet where the moons move in ... -
On the analysis of the quasi-static regime
(2010)
Comunicació de congrés
Accés obertHysteresis is a nonlinear phenomenon exhibited by systems stemming from various science and engineering areas. To detect experimentally the presence of hysteresis in a system, the graph output versus input of the system ... -
Optimum short-term hydrothermal scheduling with spinning reserve through network flows
(1995-08)
Article
Accés obertOptimizing the thermal production of electricity in the short term in an integrated power system when a thermal unit commitment has been decided means coordinating hydro and thermal generation in order to obtain the minimum ... -
Parallel computation of normal forms
(2004)
Article
Accés obertThe time to compute normal forms numerically grows very fast with respect to the degree of the normal form and the dimension of the system. We design and implement a parallel algorithm based on the parallel computation ... -
Periodic orbits of horseshoe type in the planar restricted three-body problem
(2002)
Article
Accés obert -
Phase portraits of separable Hamiltonian systems
(Universidad de Sevilla, 2007-09)
Text en actes de congrés
Accés obertWe study some generalizations of potential Hamiltonian systems $(H(x, y) = y^2 + F(x))$ with one degree of freedom. In particular, we are interested in Hamiltonian systems with Hamiltonian functions of type $H(x, y) = ...