论文标题
关于研究动态系统和爆炸性系统吸引者的高精度方法
On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type
论文作者
论文摘要
本文的作者考虑了一种数值方法，该方法使用高精度计算来构建具有二次右侧的混沌类型动态系统的吸引子，并找到爆炸性类型系统解决方案的垂直渐近线。这种系统的一种特殊情况是人口爆炸模型。关于渐近线的存在的定理。以Chua系统为例，描述了分段平滑系统的数值方法的扩展以及具有滞后系统的系统。
The author of this article considers a numerical method that uses high-precision calculations to construct approximations to attractors of dynamical systems of chaotic type with a quadratic right-hand side, as well as to find the vertical asymptotes of solutions of systems of explosive type. A special case of such systems is the population explosion model. A theorem on the existence of asymptotes is proved. The extension of the numerical method for piecewise smooth systems is described using the Chua system as an example, as well as systems with hysteresis.
