CHAOS AND KM_2O-LANGEVIN EQUATIONS
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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_2O-Langevin equations to them, we investigate the problem of the coexistence of order and chaos from the viewpoint of the fluctuation-dissipation theorem which characterizes the stationarity property of stochastic processes.
- Bulletin of informatics and cybernetics
Bulletin of informatics and cybernetics (37), 73-107, 2005-12
Research Association of Statistical Sciences