1/f filtered chaotic processes

A discrete chaotic process passed through a linear filter can behave like a stochastic, 1/f process. A stochastic description for 1/f processes is shown to be convenient where high-dimensional nonlinear systems are involved. Linear filtering can hide simple nonlinear, chaotic deterministic dynamics,...

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Veröffentlicht in:Circuits, systems, and signal processing systems, and signal processing, 1998-09, Vol.17 (5), p.575-589
Hauptverfasser: LIPTON, J. M, DABKE, K. P
Format: Artikel
Sprache:eng
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Zusammenfassung:A discrete chaotic process passed through a linear filter can behave like a stochastic, 1/f process. A stochastic description for 1/f processes is shown to be convenient where high-dimensional nonlinear systems are involved. Linear filtering can hide simple nonlinear, chaotic deterministic dynamics, and a method is presented for recovering these dynamics.[PUBLICATION ABSTRACT]
ISSN:0278-081X
1531-5878
DOI:10.1007/BF01203106