Browsing by Author "Bonet Revés, Carles"
Now showing items 1-10 of 10
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A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
(2017-09-01)
Article
Open AccessPiecewise 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
Open AccessThe 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 ... -
Ageing of an oscillator due to frequency switching
(2021-11-01)
Article
Open AccessIf an oscillator is driven by a force that switches between two frequencies, the dynamics it exhibits depends on the precise manner of switching. Here we take a one-dimensional oscillator and consider scenarios in which ... -
Càlcul integral per a enginyers
(Universitat Politècnica de Catalunya, 2002)
Book
Restricted access to the UPC academic communityEl càlcul integral és una matèria bàsica dins els plans d'estudis de les enginyeries i les llicenciatures científiques. Aquest llibre és una introducció a la teoria de la integració de diverses variables i la integració ... -
Càlcul numèric
(Edicions UPC, 1994)
Book
Restricted access to the UPC academic communityEl 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 ... -
Chaos in the hysteretic grazing-sliding codimension-one saddle-node bifurcation of piecewise dynamical systems
(UP4, Institute of Sciences, S.L., 2017)
Conference lecture
Open AccessWe 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 ... -
Regularization around a generic codimension one fold-fold singularity
(2018-09-05)
Article
Open AccessThis paper is devoted to study the generic fold-fold singularity of Filippov systems on the plane, its unfoldings and its Sotomayor–Teixeira regularization. We work with general Filippov systems and provide the bifurcation ... -
Regularization of sliding global bifurcations derived from the local fold singularity of filippov systems
(2016-07-01)
Article
Open AccessIn this paper we study the Sotomayor-Teixeira regularization of a general visible fold singularity of a planar Filippov system. Extending Geometric Fenichel Theory beyond the fold with asymptotic methods, we determine the ... -
Traveling waves in a model for cortical spreading depolarization with slow-fast dynamics
(American Institute of Physics (AIP), 2023-08-29)
Article
Open AccessCortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain activity. They are associated with various ... -
Two regularizations of the grazing-sliding bifurcation giving non equivalent dynamics
(Elsevier, 2022-09-25)
Article
Restricted access - publisher's policyWe present two ways of regularizing a one parameter family of piece-wise smooth dynamical systems undergoing a codimension one grazing-sliding global bifurcation of periodic orbits. First we use the Sotomayor-Teixeira ...
