In various fields of natural science, the chaotic systems of differential equations are considered more than 50 years. The correct prediction of the behaviour of solutions of dynamical model equations is important in understanding of evolution process and reduce uncertainty. However, often used numerical methods are unable to do it on large time segments. In this article, the author considers the modern numerical method and algorithm for constructing solutions of chaotic systems on the example of tumor growth model. Also a modification of Benettin's algorithm presents for calculation of Lyapunov exponents.

翻译：在自然科学的各个领域,不同方程式的混乱体系被视为50多年以上,正确预测动态模型方程式解决办法的行为对于理解进化过程和减少不确定性十分重要,然而,往往使用的数字方法无法在大段时间进行,作者在本条中以肿瘤生长模型为例,考虑了现代数字方法和算法,以构建混乱体系的解决办法。还修改了Benettin的算法,以计算Lyapunov的出处。