CHAOS AND KM_2O-LANGEVIN EQUATIONS

Access this Article

Search this Article

Abstract

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.

Journal

  • Bulletin of informatics and cybernetics

    Bulletin of informatics and cybernetics (37), 73-107, 2005-12

    Research Association of Statistical Sciences

Codes

  • NII Article ID (NAID)
    120001014489
  • NII NACSIS-CAT ID (NCID)
    AA10634475
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    0286-522X
  • Data Source
    IR 
Page Top