Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems

• Jaume Llibre ^[1] ; Douglas Duarte Novaes ^[2] ; Iris de Oliveira Zeli ^[3]
  1. [1] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     
  2. [2] Universidade Estadual de Campinas

     Universidade Estadual de Campinas

     Brasil

     
  3. [3] Instituto Tecnológico de Aeronáutica

     Instituto Tecnológico de Aeronáutica

     Brasil

     

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 1, 2020, págs. 291-318
• Idioma: inglés
• DOI: 10.4171/rmi/1131
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• Resumen

  • The averaging theory has been extensively employed for studying periodic solutions of smooth and nonsmooth differential systems. Here, we extend the averaging theory for studying periodic solutions a class of regularly perturbed non-autonomous n-dimensional discontinuous piecewise smooth differential system.