Towards a statistical mechanics of spatiotemporal chaos.
Towards a statistical mechanics of spatiotemporal chaos.
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走向时空混沌的统计力学。
DOI：
10.1103/physrevlett.69.3421
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发表时间：
1992
影响因子：
8.6
通讯作者：
Torcini
中科院分区：
文献类型：
--
作者：
Politi;Torcini
耦合Henon映射的引入，以更合适的方式在扩展系统的混沌模型。一个有效的技术允许提取时空周期轨道，然后使用它来近似不变的措施。进一步的实现的函数形式主义揭示了广泛的性质的熵和维数，并允许计算相关的多重分形谱。最后，对短链的分析表明，在不变测度中存在不同的相位，其特征在于不同数量的正李雅普诺夫指数
Coupled Henon maps are introduced to model in a more appropriate way chaos in extended systems. An effective technique allows the extraction of spatiotemporal periodic orbits, which are then used to approximate the invariant measure. A further implementation of the ζ-function formalism reveals the extensive character of entropies and dimensions, and allows the computation of the associated multifractal spectra. Finally, the analysis of short chains indicates the existence of distinct phases in the invariant measure, characterized by a different number of positive Lyapunov exponents