Exploració per autor "Martínez-Seara Alonso, M. Teresa"
Ara es mostren els items 12-31 de 72
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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 ... -
Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results
(2011)
Report de recerca
Accés obertIn this paper we study the problem of exponentially small splitting of separatrices of one degree of freedom classical Hamiltonian systems with a non-autonomous perturbation which is fast and periodic in time. We provide ... -
Exponentially small splitting of separatrices in the perturbed McMillan map
(2009-12)
Report de recerca
Accés obertThe McMillan map is a one-parameter family of integrable symplectic maps of the plane, for which the origin is a hyperbolic fixed point with a homoclinic loop, with small Lyapunov exponent when the parameter is small. ... -
Exponentially small splitting of separatrices in the perturbed McMillan map
(2011-10)
Article
Accés obertThe McMillan map is a one-parameter family of integrable symplectic maps of the plane, for which the origin is a hyperbolic xed point with a homoclinic loop, with small Lyapunov exponent when the parameter is small. ... -
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 ... -
Generalized analytical results on n-ejection–collision orbits in the RTBP: analysis of bifurcations
(Springer Nature, 2023-02-01)
Article
Accés obertIn the planar circular restricted three-body problem and for any value of the mass parameter µ¿(0,1) and n=1 , we prove the existence of four families of n-ejection–collision (n-EC) orbits, that is, orbits where the particle ... -
Generic bifurcations of low codimension of planar Filippov Systems
(2011-02)
Article
Accés restringit per política de l'editorialIn this article some qualitative and geometric aspects of non-smooth dynamical systems theory are discussed. The main aim of this article is to develop a systematic method for studying local(and global) bifurcations in ...
