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math.DS2021★ 5 cited
Abundance of observable Lyapunov irregular sets
Shin Kiriki, Xiaolong Li, Yushi Nakano +1
Lyapunov exponent is widely used in natural science to find chaotic signal, but its existence is seldom discussed. In the present paper, we consider the problem of whether the set…
math.DS2021
Super exponential divergence of periodic points for C^1-generic partially hyperbolic homoclinic classes
Xiaolong Li, Katsutoshi Shinohara
A diffeomorphism f is called super exponential divergent if for every r>1, the lower limit of #Per_n(f)/r^n diverges to infinity as n tends to infinity, where Per_n(f) is the set o…