We apply dynamical system methods and Melnikov theory to study small amplitude perturbations of some implicit differential equations arising in RLC circuits. We find conditions under which solutions joining two singularities persist after a small forcing. Finally, in the last section we extend this result to a wider class of implicit differential equations.
On the existence of solutions connecting singularities in nonlinear RLC circuits / Battelli, Flaviano; Fečkan, Michal. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 116:(2015), pp. 26-36. [10.1016/j.na.2014.12.015]
On the existence of solutions connecting singularities in nonlinear RLC circuits
BATTELLI, Flaviano;
2015-01-01
Abstract
We apply dynamical system methods and Melnikov theory to study small amplitude perturbations of some implicit differential equations arising in RLC circuits. We find conditions under which solutions joining two singularities persist after a small forcing. Finally, in the last section we extend this result to a wider class of implicit differential equations.File in questo prodotto:
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