Mixing and relaxation dynamics of the Henon map at the edge of chaos


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BORGES E., Tirnakli U.

PHYSICA D-NONLINEAR PHENOMENA, cilt.193, ss.148-152, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 193
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.physd.2004.01.015
  • Dergi Adı: PHYSICA D-NONLINEAR PHENOMENA
  • Sayfa Sayıları: ss.148-152

Özet

The mixing properties (or sensitivity to initial conditions) and relaxation dynamics of the Henon map, together with the connection between these concepts, have been explored numerically at the edge of chaos. It is found that the results are consistent with those coming from one-dimensional dissipative maps. This constitutes the first verification of the scenario in two-dimensional cases and obviously reinforces the idea of weak mixing. (C) 2004 Elsevier B.V. All rights reserved.