Lyapunov exponents for continuous transformations and dimension theory
Lyapunov exponents for continuous transformations and dimension theory
复制标题
DOI：
10.3934/dcds.2005.13.469
复制
发表时间：
2005-04
影响因子：
1.1
通讯作者：
L. Barreira;C. M. Silva
中科院分区：
文献类型：
--
作者：
L. Barreira;C. M. Silva
我们推广的概念，李雅普诺夫指数的转换，不一定是可微的。对于相当大类的排斥子和可微映射的双曲集，新的指数与经典的指数一致。我们还讨论了新的李雅普诺夫指数与连续变换不变集动力系统维数理论的关系。
We generalize the concept of Lyapunov exponent to transformations that are not necessarily differentiable. For fairly large classes of repellers and of hyperbolic sets of differentiable maps, the new exponents are shown to coincide with the classical ones. We also discuss the relation of the new Lyapunov exponents with the dimension theory of dynamical systems for invariant sets of continuous transformations.