Radiophysics and Quantum Electronics

, Volume 35, Issue 5, pp 261–266 | Cite as

Dynamics of feigenbaum systems with unidirectional coupling near onset of chaos. The bicritical attractor

  • A. P. Kuznetsov
  • S. P. Kuznetsov
  • I. R. Sataev


It is proposed that a bicritical point exists in the plane of the control parameters of two logistic maps with unidirectional coupling where the lines of transition to chaos in both subsystems converge. The global scaling properties (σ-functions, f(α) spectra, and generalized dimensions) of bicritical dynamics are examined. It is shown that bicriticality can also be observed in chains of more than two cells.


Control Parameter Generalize Dimension Scaling Property Global Scaling Unidirectional Coupling 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • A. P. Kuznetsov
  • S. P. Kuznetsov
  • I. R. Sataev

There are no affiliations available

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