Hopf bifurcations in electrochemical, neuronal, and semiconductor systems analysis by impedance spectroscopy
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INVESTIGACIONMetadatos
Título
Hopf bifurcations in electrochemical, neuronal, and semiconductor systems analysis by impedance spectroscopyAutoría
Fecha de publicación
2022-03-16Editor
American Institute of PhysicsISSN
1931-9401Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Spontaneous 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 ... [+]
Spontaneous 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. [-]
Publicado en
Appl. Phys. Rev. 9, 011318 (2022); https://doi.org/10.1063/5.0085920Datos relacionados
https://aip.scitation.org/doi/suppl/10.1063/5.0085920/suppl_file/22_02_23_si_hopf_bifurcation_impedance.pdfEntidad financiadora
Ministerio de Ciencia, Innovación y Universidades (Spain)
Código del proyecto o subvención
PID2019-107348GB-100
Derechos de acceso
© 2022 Author(s)
Published under an exclusive license by AIP Publishing
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info:eu-repo/semantics/openAccess
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