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On the limit cycles of a class of piecewise linear differential systems in ℝ4 with two zones

Author

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  • Buzzi, C.A.
  • Llibre, J.
  • Medrado, J.C.

Abstract

We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the number of limit cycles that bifurcate from a center, up to first order expansion of the displacement function. Moreover, this upper bound is reached. The main technique used is the averaging method.

Suggested Citation

  • Buzzi, C.A. & Llibre, J. & Medrado, J.C., 2011. "On the limit cycles of a class of piecewise linear differential systems in ℝ4 with two zones," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(4), pages 533-539.
    • Handle: RePEc:eee:matcom:v:82:y:2011:i:4:p:533-539
    DOI: 10.1016/j.matcom.2011.08.006
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    Cited by:

    1. Wang, Yanqin & Han, Maoan & Constantinescu, Dana, 2016. "On the limit cycles of perturbed discontinuous planar systems with 4 switching lines," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 158-177.

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