A Geometric Model of Mixing Lyapunov Exponents Inside Homoclinic Classes in Dimension Three
A Geometric Model of Mixing Lyapunov Exponents Inside Homoclinic Classes in Dimension Three
For $C^1$ diffeomorphisms of three dimensional closed manifolds, we provide a geometric model of mixing Lyapunov exponents inside a homoclinic class of a periodic saddle $p$ with non-real eigenvalues. Suppose $p$ has stable index two and the sum of the largest two Lyapunov exponents is greater than $\log(1-\delta)$, then $\delta$-weak …