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dc.creatorDíaz Marín, Carlos D.
dc.creatorJenkins Villalobos, Alejandro
dc.date.accessioned2018-06-28T17:25:02Z
dc.date.available2018-06-28T17:25:02Z
dc.date.issued2017-12-01
dc.identifier.citationhttp://hdl.handle.net/11652/1759
dc.identifier.isbn978-83-935312-5-7
dc.identifier.urihttps://hdl.handle.net/10669/75112
dc.description.abstractThe literature on dynamical systems has, for the most part, considered self-oscillators (i.e., systems capable of generating and maintaining a periodic motion at the expense of an external energy source with no corresponding periodicity) either as applications of the concepts of limit cycle and Hopf bifurcation in the theory of differential equations, or else as instability problems in feedback control systems. Here we outline a complementary approach, based on physical considerations of work extraction and thermodynamic irreversibility. We illustrate the power of this method with two concrete examples: the mechanical instability of rotors that spin at super-critical speeds, and the hydrodynamic Kelvin-Helmholtz instability of the interface between fluid layers with different tangential velocities. Our treatment clarifies the necessary role of frictional or viscous dissipation (and therefore of irreversibility), while revealing an underlying unity to the physics of many irreversible processes that generate mechanical work and an autonomous temporal structure (periodic, quasi-periodic, or chaotic) in the presence of an out-of-equilibrium background.es_ES
dc.description.sponsorshipUniversidad de Costa Rica/[112-B6-509]/UCR/Costa Ricaes_ES
dc.language.isoen_USes_ES
dc.sourceVibration, Control and Stability of Dynamical Systems (127-139). Polonia: ARSA Druk i Reklamaes_ES
dc.subjectHopf bifurcationes_ES
dc.subjectflutteres_ES
dc.subjectshear flow instabilityes_ES
dc.subjectirreversible processeses_ES
dc.subject515.352 Ecuaciones diferenciales ordinariases_ES
dc.titleIrreversibility of mechanical and hydrodynamic instabilitieses_ES
dc.typecapítulo de libro
dc.description.procedenceUCR::Vicerrectoría de Docencia::Ingeniería::Facultad de Ingeniería::Escuela de Ingeniería Eléctricaes_ES
dc.description.procedenceUCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Físicaes_ES
dc.identifier.codproyecto112-B6-509


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