On the Existence and Uniqueness of Limit Cycles in Planar Piecewise Linear Systems without Symmetry

نویسندگان

  • JAUME LLIBRE
  • MANUEL ORDÓÑEZ
  • Jaume Llibre
  • Manuel Ordóñez
  • Enrique Ponce
چکیده

Some techniques to show the existence and uniqueness of limit cycles, typically stated for smooth vector fields, are extended to continuous piecewise-linear differential systems. New results are obtained for systems with three linearity zones without symmetry and having one equilibrium point in the central region. We also revisit the case of systems with only two linear zones giving shorter proofs of known results.

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تاریخ انتشار 2015