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Bounds of correlation dimensions for snapshot attractors
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Abstract
In this paper, we reformulate a snapshot attractor([5]), (K,{bar mu}_l) generated by a random baker's map with a sequenceof probability measures { {bar mu}_l } on K. We obtainbounds of the correlation dimensions of (K, {bar mu}_l) forall l ge 1.
참고문헌 (8)
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- "\textit{Fractal dimension fluctuations for snapshot attractors of random maps}", (3), pp.2287~2291 (1996)
- "\textit{Chaos in dynamical systems}" (2002), Cambridge University Press
- "\textit{On rigorous definitions of correlation dimension and generalized spectrumfor dimensions}", pp.529~ (1993)
- "\textit{Are the dimensions of a set and its images equal under typical smooth functions", (4), pp.941~956 (1997)
- "\textit{Transition to chaos for random dynamicalsystems}", pp.2935~ (1990)
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