On the properties of Konishi-Kaneko map

V. G. Gurzadyan; A. Melkonian; K. Oganessyan

On the properties of Konishi-Kaneko map

Astrophysics 2007-05-23 v1

Authors: V. G. Gurzadyan , A. Melkonian , K. Oganessyan

Abstract

The existence of period-doubling bifurcations is shown for the Konishi-Kaneko map. The value of the control parameter $k_{\infty}$ corresponding to the transition to the chaotic phase is estimated, along with the Feigenbaum universal number. This type of facts can be crucial in diagnosis of chaos in stellar dynamics.

Keywords

Konishi-Kaneko map period-doubling bifurcation chaotic phase Feigenbaum constant stellar dynamics

Cite

@article{arxiv.astro-ph/9707199,
  title  = {On the properties of Konishi-Kaneko map},
  author = {V. G. Gurzadyan and A. Melkonian and K. Oganessyan},
  journal= {arXiv preprint arXiv:astro-ph/9707199},
  year   = {2007}
}

Comments

Latex file 4 pages; Il Nuovo Cimento, vol.112B, 1997

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