Geodesic
The limit cycle as a result of global bifurcation in a class of symmetric systems with discontinuous right-hand side
Russian journal of nonlinear dynamics, Tome 12 (2016) no. 1, pp. 17-30

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We consider a class of symmetric planar Filippov systems. We find the interval of variation of the bifurcation parameter for which there is an unstable limit cycle. There exist stationary points into the domain, which has this cycle as a boundary. The type of points depends on the value of the bifurcation parameter. There is a redistribution of the area, bounded by this cycle, between the attraction domains of stationary points. The results of numerical simulations are presented for the most interesting values of the bifurcation parameter.
Keywords: limit cycle, planar system with a discontinuous right-hand side
Mots-clés : global bifurcation. 
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     author = {Yu. V. Morozov},
     title = {The limit cycle as a result of global bifurcation in a class of symmetric systems with discontinuous right-hand side},
     journal = {Russian journal of nonlinear dynamics},
     pages = {17--30},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2016_12_1_a1/}
}
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Yu. V. Morozov. The limit cycle as a result of global bifurcation in a class of symmetric systems with discontinuous right-hand side. Russian journal of nonlinear dynamics, Tome 12 (2016) no. 1, pp. 17-30. http://geodesic.mathdoc.fr/item/ND_2016_12_1_a1/