On the existence of solutions connecting singularities in nonlinear RLC circuits
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Publication:2258925
DOI10.1016/j.na.2014.12.015zbMath1318.34013OpenAlexW2048680881MaRDI QIDQ2258925
Michal Fečkan, Flaviano Battelli
Publication date: 27 February 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2014.12.015
Implicit ordinary differential equations, differential-algebraic equations (34A09) Perturbations of ordinary differential equations (34D10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (5)
On the existence of solutions connecting IK singularities and impasse points in fully nonlinear RLC circuits ⋮ Travelling waves in nonlinear lattices ⋮ Bifurcation of travelling waves in implicit nonlinear lattices: applications in metamaterials ⋮ A simple method for impasse points detection in nonlinear electrical circuits ⋮ A Survey on the Melnikov Theory for Implicit Ordinary Differential Equations with Applications to RLC Circuits
Cites Work
- Exponential dichotomies, heteroclinic orbits, and Melnikov functions
- A general existence and uniqueness theory for implicit differential- algebraic equations
- Boundary value problems for systems of implicit differential equations
- On impasse points of quasilinear differential-algebraic equations
- A geometric treatment of implicit differential-algebraic equations
- Exponential dichotomies and transversal homoclinic points
- Nonlinear RLC circuits and implicit ODEs.
- Melnikov theory for nonlinear implicit ODEs
- On the Computation of Impasse Points of Quasi-Linear Differential-Algebraic Equations
- Peano's theorem for implicit differential equations
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