Abstract
In this work, we consider a family of symmetric piecewise linear systems in three dimensions. By using the analysis done in Ponce et al. (Physica D 250:34–46, 2013), in which the authors detect and characterize the appearance of limit cycles for the bifurcation parameter passing through its critical value, we show that Hopf-zero bifurcation takes place for a certain range of parameters in an extended version of Bonhoeffer-van der Pol oscillator.
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Acknowledgements
Authors are partially supported by the Ministerio de Ciencia y Tecnología, Plan Nacional I+D+I, in the frame of projects MTM2010-20907 and MTM2012-31821, and by the Consejería de Educación y Ciencia de la Junta de Andalucía under grants TIC-0130.
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Ponce, E., Ros, J., Vela, E. (2014). Piecewise Linear Analogue of Hopf-Zero Bifurcation in an Extended BVP Oscillator. In: Casas, F., Martínez, V. (eds) Advances in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-06953-1_12
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DOI: https://doi.org/10.1007/978-3-319-06953-1_12
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