We apply dynamical system methods andMelnikov theory to study small amplitude perturbation of some implicit differential equations. We show persistence of such orbits connecting singularities in finite time provided a Melnikov like condition holds.
Melnikov Theory for Nonlinear Implicit ODEs / Battelli, Flaviano; Michal, Feckan. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 256:3(2014), pp. 1157-1190. [10.1016/j.jde.2013.10.012]
Melnikov Theory for Nonlinear Implicit ODEs
BATTELLI, Flaviano;
2014-01-01
Abstract
We apply dynamical system methods andMelnikov theory to study small amplitude perturbation of some implicit differential equations. We show persistence of such orbits connecting singularities in finite time provided a Melnikov like condition holds.File in questo prodotto:
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