Numerical analysis and integration of dynamical systems and the fractal dimension of boundaries

The set of Maple routines that comprises the package Ndynamics has been improved. Apart one of the main motivations for its creation, namely, the routines to calculate the fractal dimension of boundaries (via box counting), the package deals with the numerical evolution of dynamical systems and provide flexible plotting of the results. The package also brings an initial conditions generator, a numerical solver manager, and a focusing set of routines that allow for better analysis of the graphical display of the results. Many new Maple-in-built numerical solvers are now programmed and available for the user of the package. The novelty that the package presented at the time of its release, an optional numerical interface, is maintained and updated.

构成Ndynamics软件包的一组Maple程序已得到优化升级。本软件包除了其研发的核心动因之一——即通过盒计数法（box counting）计算边界分形维数的程序外，还可处理动力系统的数值演化问题，并支持对计算结果进行灵活绘图。该软件包还内置了初始条件生成器、数值求解器管理器，以及一组可优化结果图形展示分析效果的聚焦型程序集。现已针对该软件包的用户开发并集成了多款全新的Maple内置数值求解器。该软件包在首次发布时推出的创新性功能——可选数值接口——也得到了保留与更新。