The arc-length method is a powerful solution technique becoming increasingly popular among researchers and engineers. This method is presented here as a particular case of a more general formulation which includes all other solution strategies. The arc-length method is derived in its continuous and discrete formulations. Two versions of the arc-length method (Crisfield and Ramm) are presented a...

Ambient Calculus can model mobile agents across administrative domains, which may be distributed over the Internet. In this paper, we discuss a scheme for supporting ambients over Anonymous Remote Computing (ARC) framework for C# over .NET. The service oriented framework supports parallel and distributed computations in presence of mobility. A scheme for representing ambients in C# is discussed...

In this paper, fundamental relationships are established between convergence of solutions, stability of equilibria, and arc length of orbits. More specifically, it is shown that a system is convergent if all of its orbits have finite arc length, while an equilibrium is Lyapunov stable if the arc length (considered as a function of the initial condition) is continuous at the equilibrium, and sem...