Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …

Differential-algebraic equations (DAEs) provide an essential tool for system modeling and
analysis within different fields of applied sciences and engineering. This book addresses …

We assume that differential-algebraic equations (DAEs) and their more abstract versions in
infinite-dimensional spaces comprise great potential for future mathematical modeling. To …

In this work we are interested in the numerical solution of a coupled model of differential
algebraic equations (DAEs) and partial differential equations (PDEs). The DAEs describe …

Coupled Systems of Differential Algebraic and Partial Differential Equations in Circuit and
Device Simulation Page 1 Coupled Systems of Differential Algebraic and Partial Differential …

Modeling electric circuits that contain magnetoquasistatic (MQS) devices leads to a coupled
system of differential-algebraic equations (DAEs). In our case, the MQS device is described …

Problems in engineering, computational science, and the physical and biological sciences
are using increasingly sophisticated mathematical techniques. Thus, the bridge between the …

Classical stability properties of solutions that are well-known for ordinary differential
equations (ODEs) are generalized to differential-algebraic equations (DAEs). A new test …

Lyapunov and exponential dichotomy spectral theory is extended from ordinary differential
equations (ODEs) to nonautonomous differential-algebraic equations (DAEs). By using …

This paper is addressed to some questions concerning the exponential stability and its
robustness measure for linear time-varying differential-algebraic systems of index 1. First …