Final state sensitivity: An obstruction to predictability

Celso Grebogi, Steven W. McDonald, Edward Ott, James A. Yorke

Research output: Contribution to journalArticle

287 Citations (Scopus)

Abstract

It is shown that nonlinear system with multiple attractors commonly require very accurate initial conditions for the reliable prediction of final states. A scaling exponent for the final-state-uncertain phase space volume dependence on uncertainty in initial conditions is defined and related to the fractal dimension of basin boundaries.
Original languageEnglish
Pages (from-to)415-418
Number of pages4
JournalPhysics Letters A
Volume99
Issue number9
DOIs
Publication statusPublished - 26 Dec 1983

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