DsTool : Computer Assisted Exploration of Dynamical Systems

Allen Back · 1992

Programs constructed to meet these goals have applications in the classroom as well, where they may enable students to uncover fundamental properties of dynamical systems through their own exploration. Our intent has been to create in dstool a program that can serve as the core of an evolving environment that effectively integrates a comprehensive computational library with a user interface, visualization tools, and utilities for examining and printing data. An Equivariant Example To install a dynamical system for exploration with dstool, the user modifies a set of template files that provide information about the system. The templates are used to define the variables, initial values, and coefficients of the system to be treated as parameters. A vector field or discrete time dynamical system is defined by a C-language procedure that specifies the right hand side of a system of differential equations or a mapping of an n-dimensional space into

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