Ciclos limite e singularidades típicas de sistemas de equações diferenciais suaves por partes

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Cespedes, Oscar Alexander Ramírez
تاريخ النشر: 2017
التنسيق: Doctoral thesis
اللغة: por
المصدر: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/6989
الملخص: In this work, we analize the version of Hilbert’s 16th problem for a piecewise linear differential system, PWLS, in R2. More precisely,we determinete the maximum number of certain types of limit cycles when the system is define in two zones separated by a straight line. Some results on the maximum number of cycles of a PWLS defined in two sectors were established. In addition, we classify typical singularities of a piecewise smooth systemin R3, taking into account the behavior of the associated sliding field.