Abstract
Recently, some upper bounds were found for the maximum number of limit cycles for some non-generic classes of planar piecewise linear differential systems with two zones separated by a straight line. However, many distinct cases were considered. Here the main properties of those classes are identified, this allows us to unify the approach and to extend the results. We also study a new class of differential systems.
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Acknowledgements
The author would like to thank the referee for her/his helpful comments and suggestions. He is supported by the FAPESP grants 2015/02517-6 and 2015/24841-0 and by the European Community grants FP7-PEOPLE-2012-IRSES-316338 and FP7-PEOPLE-2012-IRSES-318999.
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Novaes, D.D. (2017). Number of Limit Cycles for Some Non-generic Classes of Piecewise Linear Differential Systems. In: Colombo, A., Jeffrey, M., Lázaro, J., Olm, J. (eds) Extended Abstracts Spring 2016. Trends in Mathematics(), vol 8. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-55642-0_24
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DOI: https://doi.org/10.1007/978-3-319-55642-0_24
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