Denis de Carvalho Braga, Luis Fernando Mello
Abstract:
For any given positive integer n we show the existence of a class of
discontinuous piecewise linear differential systems with two zones in the
plane having exactly n hyperbolic limit cycles. Moreover, all the points
on the separation boundary between the two zones are of sewing type,
except the origin which is the only equilibrium point.
Submitted April 28, 2015. Published September 02, 2015.
Math Subject Classifications: 34C05, 34C25, 37G10.
Key Words: Piecewise linear differential system; limit cycle;
non-smooth differential system.
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Denis de Carvalho Braga Instituto de Matemática e Computação Universidade Federal de Itajubá Avenida BPS 1303, Pinheirinho, CEP 37.500-903 Itajubá, MG, Brazil email: braga@unifei.edu.br |
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Luis Fernando Mello Instituto de Matemática e Computação Universidade Federal de Itajubá Avenida BPS 1303, Pinheirinho, CEP 37.500-903 Itajubá, MG, Brazil Tel: 00-55-35-36291217, Fax: 00-55-35-36291140 email: lfmelo@unifei.edu.br |
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