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  • Solutions of Sakaki-Kakei equations of type 3, 5 and 6

    Kondo Koichi

    … The purpose of this paper is to obtain general solutions of Sakaki-Kakei equations of type 3, 5 and 6. … We first obtain general solution of two dimensional discrete dynamical system associated with arithmetic and harmonic mean through a conjugacy of the iteration map. …

    JSIAM Letters 2(0), 73-76, 2010

    J-STAGE DOI

  • On Transformation between Discretized Bernoulli and Tent Maps

    YOSHIOKA Daisaburo , TSUNEDA Akio , INOUE Takahiro

    … In this paper, it is proved that there is a transformation between two types of nonlinear feedback shift register which can be regarded as implementation of the Bernoulli and tent maps with finite precision. … This transformation can be interpreted as a sort of finite dimension version of topological conjugation between the Bernoulli and tent maps on continuous phase space. …

    IEICE transactions on fundamentals of electronics, communications and computer sciences 88(10), 2678-2683, 2005-10-01

    参考文献12件 被引用文献2件

  • Topological Conjugacy Propagates Stochastic Robustness of Chaotic Maps

    ROVATTI Riccardo , SETTI Gianluca

    … We here consider an extension of the validity of classical criteria ensuring the robustness of the statistical features of discrete time dynamical systems with respect to implementation inaccuracies and noise. … In particular, this result offer an explanation for the stochastic robustness of the logistic map, which is confirmed by the reported experimental measurements. …

    IEICE transactions on fundamentals of electronics, communications and computer sciences 81(9), 1777-1784, 1998-09-25

    参考文献21件

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