Analysis of unsymmetrically coupled set of three logistic maps

https://doi.org/10.1016/0009-2614(91)80030-2Get rights and content

Abstract

Nonlinear difference equations describing three unsymmetrically coupled logistic maps are analyzed to show existence of multiple basins of attractors and a transition 4P→2P→4P that proceeds to chaos via period-doubling bifurcations. The effects of initial conditions demarcating the basins of attractors are analyzed and show a certain type of symmetry for this unsymmetrically coupled case.

References (16)

  • E. Ott

    Rev. Mod. Phys.

    (1981)
  • E. Domany et al.

    Europhys. Letters

    (1986)
  • M.J. Feigenbaum

    J. Stat. Phys.

    (1978)
    M.J. Feigenbaum

    J. Stat. Phys.

    (1979)
    M.J. Feigenbaum

    Phys. Letters

    (1979)
  • P. Collet et al.
    (1980)
  • R.M. May

    Nature

    (1976)
    J.R. Beddington et al.

    Nature

    (1975)
  • J.L. Hudson et al.

    J. Chem. Phys.

    (1981)
    Y. Kuramoto

    Springer series in synergetics

  • V. Franceschini

    J. Stat. Phys.

    (1980)
    F.T. Arecchi et al.

    Phys. Rev.

    (1984)
  • S. Wolfram

    Rev. Mod. Phys.

    (1983)
There are more references available in the full text version of this article.

Cited by (0)

NCL Communication No. 5212.

View full text