Artículo
Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator
Autor/es | Freire Macías, Emilio
Ponce Núñez, Enrique Ros Padilla, Francisco Javier Vela Felardo, Elisabet Amador, A. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 2020-08 |
Fecha de depósito | 2024-01-30 |
Publicado en |
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Resumen | In this work, a Hopf bifurcation at infinity in three-dimensional symmetric continuous piecewise linear systems with three zones is analyzed. By adapting the so-called closing equations method, which constitutes a suitable ... In this work, a Hopf bifurcation at infinity in three-dimensional symmetric continuous piecewise linear systems with three zones is analyzed. By adapting the so-called closing equations method, which constitutes a suitable technique to detect limit cycles bifurcation in piecewise linear systems, we give for the first time a complete characterization of the existence and stability of the limit cycle of large amplitude that bifurcates from the point at infinity. Analytical expressions for the period and amplitude of the bifurcating limit cycles are obtained. As an application of these results, we study the appearance of a large amplitude limit cycle in a Bonhoeffer–van der Pol oscillator. © 2020 Elsevier Ltd |
Agencias financiadoras | Pontificia Universidad Javeriana Cali-Colombia Ministerio de Economía y Competitividad (MINECO). España Consejería de Economía y Conocimiento, Junta de Andalucía |
Identificador del proyecto | MTM2015-65608-P
MTM-2014-56272-C2-1-P PGC2018-096265-B-I00 P12-FQM-1658 |
Cita | Freire, E., Ponce, E., Ros, F.J., Vela, E. y Amador, A. (2020). Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator. Nonlinear Analysis: Real World Applications, 544, 103112. https://doi.org/10.1016/j.nonrwa.2020.103112. |
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