Reconstruction of dynamical and geometrical properties of chaotic attractors from threshold-crossing interspike intervals

Reconstruction of dynamical and geometrical properties of chaotic attractors from threshold-crossing interspike intervals
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从阈值交叉尖峰间隔重建混沌吸引子的动力学和几何特性

DOI:
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发表时间:
1998
期刊:
影响因子:
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通讯作者:
V. Anishchenko
V. Anishchenko
中科院分区:
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文献类型:
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作者:
N. Janson;A. Pavlov;A. Neiman;V. Anishchenko

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我们重建的最大李雅普诺夫指数和分形维数的混沌吸引子单独使用阈值交叉峰间期。我们表明,在某些情况下,可以根据该数据重建一个看起来与初始吸引子非常相似的集合。我们也给出了解释这种可能性的基础上的瞬时频率的概念。
We reconstruct the largest Lyapunov exponent and fractal dimension of a chaotic attractor using threshold-crossing interspike intervals alone. We show that in certain cases one may reconstruct from this data a set looking very similar to the initial attractor. We also give an explanation of this possibility based on the concept of instantaneous frequency.
DOI: 10.1126/science.1519060
发表时间: 1992-08-28
期刊: SCIENCE
影响因子: 56.9
作者:
GARFINKEL, A;SPANO, ML;WEISS, JN
通讯作者: WEISS, JN