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Bekenstein JD 《Physical review D: Particles and fields》1995,51(12):R6608-R6611
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Galatolo S 《Chaos (Woodbury, N.Y.)》2007,17(1):013116
We consider the number of Bowen sets necessary to cover a large measure subset of the phase space. This introduces some complexity indicator characterizing different kinds of (weakly) chaotic dynamics. Since in many systems its value is given by a sort of local entropy, this indicator is quite simple to calculate. We give some examples of calculations in nontrivial systems (e.g., interval exchanges and piecewise isometries) and a formula similar to that of Ruelle-Pesin, relating the complexity indicator to some initial condition sensitivity indicators playing the role of positive Lyapunov exponents. 相似文献
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Luo LS 《Physical review letters》2004,92(13):139401; author reply 139402
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Brody DC 《Physical review letters》2008,100(14):148901; discussion 148902
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