Higher-dimensional nonlinear and perturbed systems of implicit ordinary differential equations are studied by means of methods of dynamical systems. Namely, the persistence of solutions are studied under nonautonomous perturbations connecting either impasse points with IK-singularities or two impasse points. Important parts of the paper are applications of the theory to concrete perturbed fully nonlinear RLC circuits
On the Existence of Solutions Connecting IK Singularities and Impasse Points in Fully Nonlinear RLC Circuits / Battelli, Flaviano; Feckan, Michal. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - STAMPA. - 22:8(2017), pp. 3043-3061. [10.3934/dcdsb.2017162]
On the Existence of Solutions Connecting IK Singularities and Impasse Points in Fully Nonlinear RLC Circuits
Flaviano Battelli;
2017-01-01
Abstract
Higher-dimensional nonlinear and perturbed systems of implicit ordinary differential equations are studied by means of methods of dynamical systems. Namely, the persistence of solutions are studied under nonautonomous perturbations connecting either impasse points with IK-singularities or two impasse points. Important parts of the paper are applications of the theory to concrete perturbed fully nonlinear RLC circuitsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
