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dc.contributor.authorBisquert, Juan
dc.date.accessioned2022-03-18T08:38:14Z
dc.date.available2022-03-18T08:38:14Z
dc.date.issued2022-03-16
dc.identifier.issn1931-9401
dc.identifier.urihttp://hdl.handle.net/10234/197066
dc.description.abstractSpontaneous oscillations in a variety of systems, including neurons, electrochemical, and semiconductor devices, occur as a consequence of Hopf bifurcation in which the system makes a sudden transition to an unstable dynamical state by the smooth change of a parameter. We review the linear stability analysis of oscillatory systems that operate by current–voltage control using the method of impedance spectroscopy. Based on a general minimal model that contains a fast-destabilizing variable and a slow stabilizing variable, a set of characteristic frequencies that determine the shape of the spectra and the associated dynamical regimes are derived. We apply this method to several self-sustained rhythmic oscillations in the FitzHugh–Nagumo neuron, the Koper–Sluyters electrocatalytic system, and potentiostatic oscillations of a semiconductor device. There is a deep and physically grounded analogy between different oscillating systems: neurons, electrochemical, and semiconductor devices, as they are controlled by similar fundamental processes unified in the equivalent circuit representation. The unique impedance spectroscopic criteria for widely different variables and materials across several fields provide insight into the dynamical properties and enable the investigation of new systems such as artificial neurons for neuromorphic computation.ca_CA
dc.format.extent20 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherAmerican Institute of Physicsca_CA
dc.relation.isPartOfAppl. Phys. Rev. 9, 011318 (2022); https://doi.org/10.1063/5.0085920ca_CA
dc.relation.urihttps://aip.scitation.org/doi/suppl/10.1063/5.0085920/suppl_file/22_02_23_si_hopf_bifurcation_impedance.pdfca_CA
dc.rights© 2022 Author(s) Published under an exclusive license by AIP Publishingca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/ca_CA
dc.subjectHopf bifurcationsca_CA
dc.subjectimpedance spectroscopyca_CA
dc.titleHopf bifurcations in electrochemical, neuronal, and semiconductor systems analysis by impedance spectroscopyca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1063/5.0085920
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA
project.funder.nameMinisterio de Ciencia, Innovación y Universidades (Spain)ca_CA
oaire.awardNumberPID2019-107348GB-100ca_CA


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