dc.contributor.author |
Carmona, V.
|
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dc.contributor.author |
Fernández-García, S.
|
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dc.contributor.author |
Teruel, A.E.
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dc.date.accessioned |
2020-04-03T07:41:55Z |
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dc.identifier.uri |
http://hdl.handle.net/11201/151937 |
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dc.description.abstract |
[eng] In this article, we prove the existence of a saddle-node bifurcation of limit cycles in continuous piecewise linear systems with three zones. The bifurcation arises from the perturbation of a non-generic situation, where there exists a linear center in the middle zone. We obtain an approximation of the relation between the parameters of the system, such that the saddle-node bifurcation takes place, as well as of the period and amplitude of the non-hyperbolic limit cycle that bifurcates. We consider two applications, first a piecewise linear version of the FitzHugh-Nagumo neuron model of spike generation and second an electronic circuit, the memristor oscillator. |
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dc.format |
application/pdf |
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dc.relation.isformatof |
Reproducció del document publicat a: https://doi.org/10.3934/dcds.2019215 |
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dc.relation.ispartof |
Discrete and Continuous Dynamical Systems, 2019, vol. 39, num. 9, p. 5275-5299 |
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dc.subject.classification |
004 - Informàtica |
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dc.subject.classification |
51 - Matemàtiques |
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dc.subject.other |
004 - Computer Science and Technology. Computing. Data processing |
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dc.subject.other |
51 - Mathematics |
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dc.title |
Saddle-node of limit cycles in planar piecewise linear systems and applications |
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dc.type |
info:eu-repo/semantics/article |
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dc.type |
info:eu-repo/semantics/publishedVersion |
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dc.date.updated |
2020-04-03T07:41:56Z |
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dc.date.embargoEndDate |
info:eu-repo/date/embargoEnd/2026-12-31 |
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dc.embargo |
2026-12-31 |
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dc.subject.keywords |
Piecewise linear systems |
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dc.subject.keywords |
análisis cualitativo y bifurcaciones |
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dc.subject.keywords |
saddle-node bifurcation of limit cyles |
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dc.subject.keywords |
neurociencia |
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dc.rights.accessRights |
info:eu-repo/semantics/embargoedAccess |
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dc.identifier.doi |
https://doi.org/10.3934/dcds.2019215 |
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