2 papers
nlin.CD2020
Infinite Ergodicity that Preserves the Lebesgue Measure
Ken-ichi Okubo, Ken Umeno
We proved that for the countably infinite number of one-parameterized one dimensional dynamical systems, they preserve the Lebesgue measure and they are ergodic for the measure (in…
nlin.CD2017
Universality of the Route to Chaos -- Exact Analysis
Ken-ichi Okubo, Ken Umeno
The universality of the route to chaos is analytically proven for countably infinite number of maps by proposing the Super Generalized Boole (SGB) transformations. As one of the ro…