How long do numerical chaotic solutions remain valid?

T Sauer, C Grebogi, J A Yorke

Research output: Contribution to journalArticlepeer-review

128 Citations (Scopus)


Dynamical conditions for the loss of validity of numerical chaotic solutions of physical systems are already understood. However, the fundamental questions of ''how good'' and ''for how long'' 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.

Original languageEnglish
Pages (from-to)59-62
Number of pages4
JournalPhysical Review Letters
Issue number1
Publication statusPublished - 7 Jul 1997




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