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On the existence of solutions connecting IK singularities and impasse points in fully nonlinear RLC circuits

1This paper has been performed within the activity of GNAMPA-INdAM
2Partially supported by the Slovak Grant Agency VEGA No. 2/0153/16 and No. 1/0078/17 and the Slovak Research and Development Agency under the contract No. APVV-14-0378

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  • 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.

    Mathematics Subject Classification: 34A09, 37C60, 47N70.


    \begin{equation} \\ \end{equation}
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  • Figure 1.  The heteroclinic orbits of equation (4.5)

    Figure 2.  The heteroclinic orbits of equation (4.5)

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