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math.DS2007★ 2 cited
Liapunov's direct method for Birkhoffian systems: Applications to electrical networks
Delia Ionescu-Kruse
In this paper, the concepts and the direct theorems of stability in the sense of Liapunov, within the framework of Birkhoffian dynamical systems on manifolds, are considered. The L…
math.DS2006★ 5 cited
A geometric Birkhoffian formalism for nonlinear RLC networks
Delia Ionescu
The aim of this paper is to give a formulation of the dynamics of nonlinear RLC circuits as a geometric Birkhoffian system and to discuss in this context the concepts of regularity…