51 citations · 251 across the 15 of their papers we have counts for
15 papers
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…
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…
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…
Distributional behavior of time averages of non- observables in one-dimensional intermittent maps with infinite invariant measures
Takuma Akimoto, Soya Shinkai, Yoji Aizawa
In infinite ergodic theory, two distributional limit theorems are well-known. One is characterized by the Mittag-Leffler distribution for time averages of functions, i.e.,…
Subexponential instability implies infinite invariant measure
Takuma Akimoto, Yoji Aizawa
We study subexponential instability to characterize a dynamical instability of weak chaos. We show that a dynamical system with subexponential instability has an infinite invariant…
Characterization of intermittency in renewal processes: Application to earthquakes
Takuma Akimoto, Tomohiro Hasumi, Yoji Aizawa
We construct a one-dimensional piecewise linear intermittent map from the interevent time distribution for a given renewal process. Then, we characterize intermittency by the asymp…