Bifurcation of Periodic Orbits of a Three-Dimensional Piecewise Smooth System

• Autores: Shenglan Xie, Maoan Han, Xuepeng Zhao
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 3, 2019, págs. 1077-1112
• Idioma: inglés
• DOI: 10.1007/s12346-019-00328-6
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• Resumen

  • We consider a three-dimensional piecewise smooth system having an invariant surface and a closed orbit of multiplicity k on the invariant surface. By using bifurcation techniques and analyzing the number of solutions of bifurcation equations, we study certain bifurcation phenomena near the multiple k closed orbit and obtain some conditions for the existence of periodic orbits bifurcated from it. Moreover, our partial analytical results are demonstrated by some examples.