Numerical analysis of dynamical systems and the fractal dimension of boundaries

A set of MapleV R.4/5 software routines for calculating the numerical evolu tion of dynamical systems and flexible plotting the results is presented. T he package consists of an initial condition generator (on which the user ca n impose quite general constraints), a numerical solving manager, plotting commands that allow the user to locate and focus in on regions of possible interest and, finally, a set of routines that calculate the fractal dimensi on of the boundaries of those regions. A special feature of the software ro utines presented here is an optional interface in C, permitting fast numeri cal integration using standard Runge-Kutta methods, or variations, for high precision numerical integration. (C) 1999 Elsevier Science B.V. All rights reserved.