How long do numerical chaotic solutions remain valid
How long do numerical chaotic solutions remain valid
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DOI：
10.1103/physrevlett.79.59
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发表时间：
1997-07
影响因子：
8.6
通讯作者：
T. Sauer;C. Grebogi;J. Yorke
中科院分区：
文献类型：
--
作者：
T. Sauer;C. Grebogi;J. Yorke
物理系统的数值混沌解的有效性损失的动力学条件已经理解。然而，{open_quotes}有多好{close_quotes}和{open_quotes}在{close_quotes}的解决方案有效期内的基本问题仍然没有答案。这项工作回答了这些问题，通过建立缩放定律的遮蔽距离和遮蔽时间的物理意义的量，很容易在实践中计算。用物理模型对标度理论进行了验证。{版权} {美国物理学会}
Dynamical conditions for the loss of validity of numerical chaotic solutions of physical systems are already understood. However, the fundamental questions of {open_quotes}how good{close_quotes} and {open_quotes}for how long{close_quotes} the solutions are valid remained unanswered. This work answers these questions by establishing scaling laws for the shadowing distance and for the shadowing time in terms of physically meaningful quantities that are easily computable in practice. The scaling theory is verified against a physical model. {copyright} {ital 1997} {ital The American Physical Society}