Doubling of invariant curves and chaos in three-dimensional diffeomorphisms

A. S. Gonchenko, S. V. Gonchenko, D. Turaev

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


This paper gives a review of doubling bifurcations of closed invariant curves. We also discuss the role of the curve-doubling bifurcations in the formation of chaotic dynamics. In particular, we study scenarios of the emergence of discrete Lorenz and Shilnikov attractors in three-dimensional Hénon maps.

Original languageEnglish
Article number113130
Issue number11
StatePublished - 1 Nov 2021
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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