Final state sensitivity: An obstruction to predictability

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

Research output: Contribution to journalArticle

281 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

Cite this

Final state sensitivity : An obstruction to predictability. / Grebogi, Celso; McDonald, Steven W.; Ott, Edward; Yorke, James A.

In: Physics Letters A, Vol. 99, No. 9, 26.12.1983, p. 415-418.

Research output: Contribution to journalArticle

Grebogi, Celso ; McDonald, Steven W. ; Ott, Edward ; Yorke, James A. / Final state sensitivity : An obstruction to predictability. In: Physics Letters A. 1983 ; Vol. 99, No. 9. pp. 415-418.
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