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Continuous Piecewise Analytic Planar Systems with an Arbitrary Finite Number of Switching Lines

  • Hebai Chen,
  • Dehong Dai,
  • Zhaosheng Feng

摘要

Much attention has been devoted to piecewise analytic systems with a single switching line. In this paper we are concerned with continuous piecewise analytic planar systems of a more general nature, allowing for an arbitrarily finite number of switching lines, and obtain the exact order of weak focus and establish sufficient conditions of the existence of limit cycles for continuous piecewise analytic planar systems.