Doubling of invariant curves and chaos in three-dimensional diffeomorphisms

Doubling of invariant curves and chaos in three-dimensional diffeomorphisms

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 m...

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2021-11, Vol.31 (11), p.113130-113130
Hauptverfasser: Gonchenko, A. S., Gonchenko, S. V., Turaev, D.
Format: Artikel
Sprache:eng
Schlagworte:
Bifurcations
Chaos theory
Invariants
Isomorphism
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Zusammenfassung: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.
ISSN:1054-1500
1089-7682
DOI:10.1063/5.0068692