Now showing items 1-10 of 330
Criteria for the trivial solution of differential algebraic equations with small nonlinearities to be asymptotically stable
Differential algebraic equations consisting of a constant coefficient linear part and a small nonlinearity are considered. Conditions that enable linearizations to work well are discussed. In particular, for index-2 ...
Large time asymptotics of solutions to the anharmonic oscillator model from nonlinear optics
The anharmonic oscillator model describing the propagation of electromagnetic waves in an exterior domain containing a nonlinear dielectric medium is investigated. The system under consideration consists of a generally ...
General Linear Methods for nonlinear DAEs in Circuit Simulation
The Modified Nodal Analysis leads to differential algebraic equations with properly stated leading terms. In this article a special structure of the DAEs modelling electrical circuits is exploited in order to derive a new ...
Linear spaces for index 2 differential-algebraic equations
In this paper we consider solution spaces of linear index-2-tractable differential algebraic equations. Relations between the solutions of the adjoint equations and the corresponding solution spaces are derived and, thus, ...
Reduction in Stages and Complete Quantization of the MIC-Kepler Problem
The one-parameter deformation family of the standard Kepler problem known as the MIC-Kepler problem is completely quantized using the explicit momentum mapping of the torus actions on some toric manifolds and some equivariant ...
Numerical stability criteria for differential-algebraic systems
In this paper we transfer classical results concerning Lyapunov stability of stationary solutions x* to the classes of DAEs being most interesting for circuit simulation, thereby keeping smoothness as low as possible. We ...