A generic mechanism determining the fractality of basin boundary structures

J. Parisi, J. Peinke, A. Kittel, M. Klein and O.E. Rössler

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 571-575

Abstract: A simple prototype diffeomorphism containing a chaotically forced bistability is demonstrated to produce Weierstrass-function-like basin boundaries of self-affine, self-similar, and/or nowhere differentiable fractal structure, depending on two competing characteristic exponents.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:571-575

DOI: 10.1016/0378-4371(92)90585-E

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