22 citations · 50 across the 8 of their papers we have counts for
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nlin.CD2014★ 10 cited
Generalized Lyapunov exponent as a unified characterization of dynamical instabilities
Takuma Akimoto, Masaki Nakagawa, Soya Shinkai +1
The Lyapunov exponent characterizes an exponential growth rate of the difference of nearby orbits. A positive Lyapunov exponent is a manifestation of chaos. Here, we propose the Ly…
nlin.CD2014★ 5 cited
On stable laws in a one-dimensional intermittent map equipped with a uniform invariant measure
Soya Shinkai, Yoji Aizawa
We investigate ergodic-theoretical quantities and large deviation properties of one-dimensional intermittent maps, that have not only an indifferent fixed point but also a singular…
nlin.CD2014★ 5 cited
Spectrum and 1-Stable Law in One-Dimensional Intermittent Map with Uniform Invariant Measure and Nekhoroshev Stability
Soya Shinkai, Yoji Aizawa
We investigate ergodic properties of a one-dimensional intermittent map that has not only an indifferent fixed point but also a singular structure such that a uniform measure is in…