We apply dynamical system methods and Melnikov theory to study small amplitude perturbation of some implicit differential equations exhibiting Isingularities. In particular, we show persistence of such I-singularities and orbits connecting them in finite time provided a Melnikov like condition holds.
Nonlinear RLC Circuits and Implicit ODEs / Battelli, Flaviano; Feckan, M.. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - STAMPA. - 27:7/8(2014), pp. 671-690.
Nonlinear RLC Circuits and Implicit ODEs
BATTELLI, Flaviano;
2014-01-01
Abstract
We apply dynamical system methods and Melnikov theory to study small amplitude perturbation of some implicit differential equations exhibiting Isingularities. In particular, we show persistence of such I-singularities and orbits connecting them in finite time provided a Melnikov like condition holds.File in questo prodotto:
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