On the Bifurcation of Periodic Orbits in Discontinuous Systems
Fečkan , Michal ; Pospíšil , Michal
Commun. Math. Anal., Tome 8 (2010) no. 1, p. 87-108 / Harvested from Project Euclid
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WWe study behaviour of $T$--periodic trajectories in time-perturbed discontinuous systems, that transversally cross the discontinuity boundary. Sufficient condition of Melnikov-type is stated, under which the original piecewise $C^1$-orbit persists. Applications of derived result are also given to discontinuous planar systems.
Publié le : 2010-05-15
Classification:  periodic orbit,  discontinuous systems,  bifurcation,  34C23,  34C25,  37G15 
@article{1270646496,
     author = {Fe\v ckan , Michal and Posp\'\i \v sil , Michal},
     title = {On the Bifurcation of Periodic Orbits in Discontinuous
 Systems},
     journal = {Commun. Math. Anal.},
     volume = {8},
     number = {1},
     year = {2010},
     pages = { 87-108},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270646496}
}

Fečkan , Michal; Pospíšil , Michal. On the Bifurcation of Periodic Orbits in Discontinuous
 Systems. Commun. Math. Anal., Tome 8 (2010) no. 1, pp.  87-108. http://gdmltest.u-ga.fr/item/1270646496/