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nlin.CD2015★ 18 cited
Exact Lyapunov exponents of the generalized Boole transformations
Ken Umeno, Ken-ichi Okubo
The generalized Boole transformations have rich behavior ranging from the \textit{mixing} phase with the Cauchy invariant measure to the \textit{dissipative} phase through the \tex…
nlin.CD2015
New chaos indicators for systems with extremely small Lyapunov exponents
Ken-ichi Okubo, Ken Umeno
We propose new chaos indicators for systems with extremely small positive Lyapunov exponents. These chaos indicators can firstly detect a sharp transition between the Arnold diffus…