Interactive System for Studies in Nonlinear Dynamics

Abstract

Numerical methods for the analysis of nonlinear dynamical systems including methods based on continuation techniques for obtaining curves of stationary or periodic solutions, bifurcation points and limit points in dependence on parameters have been developed and discussed in several available textbooks [1–4,6,7] and in the proceedings of conferences, cf. e.g. [5]. Original software for the analysis of the dependence of stationary solutions on a parameter [1,4] and of periodic solutions on a parameter[4,7], were also published. Productive application of such a software requires relatively deep knowledge both of specialized numerical methods and of the theory of nonlinear dynamical systems. Also the organization of computations and the evaluation of computed results can often be quite complicated. Here we discribe our attempt to test the idea whether a unification of available numerical algorithms with the means and approaches of logical programming and knowledge engineering could help to increase productivity of the analysis of a nonlinear dynamical system.