Scholarlink

The Lyapunov exponent is the average of a function over a projective bundle. The Morse spectrum is an average spectrum of function \(\varphi(x,e)=\text{ln}|Df(x)e|\) over the pseudo-trajectories in a projective bundle. Symbolic image allow us to estimate the Morse spectrum. It has been shown that a system is hyperbolic if the Morse spectrum contains no zero. Homoclinic tangency phenomena have been investigated.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Lyapunov Exponent

  • 章节

  • 发表日期：

    2025年

查看全文
  • George Osipenko

摘要

The Lyapunov exponent is the average of a function over a projective bundle. The Morse spectrum is an average spectrum of function \(\varphi(x,e)=\text{ln}|Df(x)e|\) over the pseudo-trajectories in a projective bundle. Symbolic image allow us to estimate the Morse spectrum. It has been shown that a system is hyperbolic if the Morse spectrum contains no zero. Homoclinic tangency phenomena have been investigated.