Subexponential instability in one-dimensional maps implies infinite invariant measure
Subexponential instability in one-dimensional maps implies infinite invariant measure
复制标题
DOI：
10.1063/1.3470091
复制
发表时间：
2010-09-01
期刊：
影响因子：
2.9
通讯作者：
Aizawa, Yoji
中科院分区：
文献类型：
--
作者：
Akimoto, Takuma;Aizawa, Yoji
我们将弱混沌的动力学不稳定性描述为亚指数不稳定性。我们证明了一个一维的、保守的、遍历的、保测度的次指数不稳定映射具有无穷不变测度，并给出了一个广义的Lyapunov指数来刻画次指数不稳定性. (c)2010年美国物理学会。[doi：10.1063/1.3470091]
We characterize dynamical instability of weak chaos as subexponential instability. We show that a one-dimensional, conservative, ergodic measure preserving map with subexponential instability has an infinite invariant measure, and then we present a generalized Lyapunov exponent to characterize subexponential instability. (c) 2010 American Institute of Physics. [doi: 10.1063/1.3470091]