Exploració per autor "Martínez-Seara Alonso, M. Teresa"
Ara es mostren els items 6-25 de 72
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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 unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
(2017-09-01)
Article
Accés obertPiecewise smooth dynamical systems make use of discontinuities to model switching between regions of smooth evolution. This introduces an ambiguity in prescribing dynamics at the discontinuity: should the dynamics be given ... -
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 ... -
An analytical approach to codimension-2 sliding bifurcations in the dry friction oscillator
(2010)
Article
Accés restringit per política de l'editorialIn this paper, we analytically consider sliding bifurcations of periodic orbits in the dry-friction oscillator. The system depends on two parameters: F, which corresponds to the intensity of the friction, and ω, the ... -
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 ... -
Asymptotic size of Herman rings of the complex standard family by quantitative quasiconformal surgery
(2003)
Article
Accés obertIn this paper we consider the complexification of the Arnold standard family of circle maps given by $\widetilde F_{\alpha,\ep}(u)=u{\rm e}^{{\rm i}\alpha} {\rm e}^{\frac{\ep}{2}(u-\frac{1}{u})}$, with $\alpha=\alpha( ... -
Breakdown of a 2D heteroclinic connection in the hopf-zero singularity (I)
(2018-10-01)
Article
Accés obertIn this paper we study a beyond all orders phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional heteroclinic surface which exists in the truncated ... -
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity (II): The generic case
(2018-04-17)
Article
Accés obertIn this paper, we prove the breakdown of the two-dimensional stable and unstable manifolds associated to two saddle-focus points which appear in the unfoldings of the Hopf-zero singularity. The method consists in obtaining ... -
Breakdown of heteroclinic connections in the analytic Hopf-zero singularity: rigorous computation of the stokes constant
(2023-04-01)
Article
Accés obertConsider analytic generic unfoldings of the three- dimensional conservative Hopf-zero singularity. Under open conditions on the parameters determining the singularity, the unfolding possesses two saddle-foci when the ... -
Breakdown of heteroclinic orbits for analytic unfoldings of the hopf-zero singularity. The singular case
(2011)
Report de recerca
Accés obertIn this paper we prove the breakdown of an heteroclinic connection in the analytic versal unfoldings of the generic Hopf-Zero singularity. This heteroclinic orbit appears at any order if one performs the normal form around ... -
Breakdown of heteroclinic orbits for some analytic unfoldings of the Hopf-zero singularity
(2004)
Article
Accés obertIn this paper we study the exponentially small splitting of a heteroclinic orbit in some unfoldings of the central singularity also called Hopf-zero singularity. The fields under consideration are of the form: dx dτ = ... -
Càlcul numèric
(Edicions UPC, 1994)
Llibre
Accés restringit a la comunitat UPCEl llibre Càlcul numèric conté les eines i bases fonamentals dels algotimes de computació. La seva presentació, exempta de formalismes excessivament teòrics, el fa molt adequat per al lector que, sense voler aprofundir ... -
Cálculos numéricos de la Hopf zero
(2009)
Comunicació de congrés
Accés obertConsideramos la siguiente familia de campos X en R3 : dx dt = − xz − y( + c z) + p+1f( x, y, z, ) dy dt = − yz + x( + c z) + p+1g( x, y, z, ) dz dt = (−1 + b(x2 + y2) + z2) + p+1h( x, y, z, ... -
Chaos in the hysteretic grazing-sliding codimension-one saddle-node bifurcation of piecewise dynamical systems
(UP4, Institute of Sciences, S.L., 2017)
Comunicació de congrés
Accés obertWe present two ways of regularizing a parameter family of piecewise smooth dynamical systems undergoing a grazing- sliding bifurcation. We use the Sotomayor-Teixeira regularization and prove that the bifurcation is a ... -
Computation of invariant curves in the analysis of periodically forced neural oscillators
(Springer, 2018)
Capítol de llibre
Accés obertBackground oscillations, reflecting the excitability of neurons, are ubiq- uitous in the brain. Some studies have conjectured that when spikes sent by one population reach the other population in the peaks of excitability, ... -
Critical velocity in kink-defect interaction models: rigorous results
(2020-01-01)
Article
Accés obertIn this work we study a model of interaction of kinks of the sine-Gordon equation with a weak defect. We obtain rigorous results concerning the so-called critical velocity derived in [7] by a geometric approach. More ... -
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation
(2011-07)
Report de recerca
Accés obertIn this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic and meromorphic in the state variables ... -
Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity
(2013)
Article
Accés restringit per política de l'editorialIn this paper we prove the breakdown of a heteroclinic connection in the analytic versal unfoldings of the generic Hopf-zero singularity in an open set of the parameter space. This heteroclinic orbit appears at any order ... -
Exponentially small splitting for the pendulum: a classical problem revisited
(2010)
Article
Accés restringit per política de l'editorialIn this paper, we study the classical problem of the exponentially small splitting of separatrices of the rapidly forced pendulum. Firstly, we give an asymptotic formula for the distance between the perturbed invariant ... -
Exponentially small splitting for whiskered tori in Hamiltonian systems: Flow-box coordinates and upper bounds
(2003)
Article
Accés obertWe consider a singular or weakly hyperbolic Hamiltonian, with $n+1$ degrees of freedom, as a model for the behaviour of a nearly-integrable Hamiltonian near a simple resonance. The model consists of an integrable Hamiltonian ...
