CHAOS AND KM_2O-LANGEVIN EQUATIONS

Yasunori Okabe, Masaya Matsuura
2005 Bulletin of Informatics and Cybernetics  
We treat two one-dimensional chaotic dynamics derived from both the logistic and the tent transformations from the viewpoint of the theory of stochastic processes. We construct two one-dimensional stochastic processes associated with the above dynamics. Applying the stationarity analysis and the non-linear information analysis in the theory of KM 2 O-Langevin equations to them, we investigate the problem of the coexistence of order and chaos from the viewpoint of the fluctuation-dissipation
more » ... rem which characterizes the stationarity property of stochastic processes.
doi:10.5109/12593 fatcat:cwme476sqff75ikuotnarhxihe