Abstract
In this paper we study the existence of limit cycles in a one-parameter family of discontinuous piecewise linear differential systems with two zones in the plane. It is characterized for all the parameter values the number of non-sliding limit cycles of the family studied, detecting a rather non-generic bifurcation leading to the simultaneous generation of three limit cycles.
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Acknowledgements
The second author is partially supported by CNPq grant 301758/2012-3 and by FAPEMIG grant PPM-00204-11.
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de Carvalho Braga, D., Mello, L.F. Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane. Nonlinear Dyn 73, 1283–1288 (2013). https://doi.org/10.1007/s11071-013-0862-3
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DOI: https://doi.org/10.1007/s11071-013-0862-3