某些对所有不变测度均有严格非零 Lyapunov 指数的非双曲系统:具有内部切线的马蹄
动力系统
2007-05-23 v2
摘要
我们研究一类展现内部切线(即被周期点累积的同宿切线点)的马蹄的双曲性。特别地,这些系统严格不是一致双曲的。然而我们证明所有不变测度的所有 Lyapunov 指数一致地远离 0。这是此类已知的第一个例子。
引用
@article{arxiv.math/0306041,
title = {Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies},
author = {Yongluo Cao and Stefano Luzzatto and Isabel Rios},
journal= {arXiv preprint arXiv:math/0306041},
year = {2007}
}
备注
10 pages, 2 figures. This is an extended version of the paper "Hyperbolicity of periodic points for horseshoes with internal tangencies" by S. Luzzatto and I. Rios