Numerical Analysis of Dynamical Systems and the Fractal Dimension of Boundaries

Details Numerical Analysis of Dynamical Systems and the Fractal Dimension of Boundaries Numerical Analysis of Dynamical Systems and the Fractal Dimension of Boundaries

1998-12-22

arxiv.org/abs/chao-dyn/9812029v1

Computer Physics Communications, Holland, v. 119, n. 2-3, p. 256-271, 1999.

Nonlinear Sciences

Chaotic Dynamics

Latex, 19 pages, 7 figures. All the material (including the package, paper, figures) soon to be available on http://www.dft.

Scientific paper

10.1016/S0010-4655(99)00204-0

A set of MapleV R.4/5 software routines for calculating the numerical evolution of dynamical systems and flexibly plotting the results is presented. The package consists of an initial condition generator (on which the user can 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 dimension of the boundaries of those regions. A special feature of the software routines presented here is an optional interface in C, permitting fast numerical integration using standard Runge-Kutta methods, or variations, for high precision numerical integration

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