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Chaotic behavior in the Helleman mapping

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Publication:1096945
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DOI10.1007/BF02458262zbMath0634.58018OpenAlexW2072062621MaRDI QIDQ1096945

Baolong Cheng

Publication date: 1987

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458262


zbMATH Keywords

diffeomorphismiterationchaotic dynamicsrecurrenceHénon mapSmale horseshoe


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Continuous maps (54C05) Differentiable mappings in differential topology (57R35) Differential topological aspects of diffeomorphisms (57R50) Dynamical systems with hyperbolic behavior (37D99)




Cites Work

  • A two-dimensional mapping with a strange attractor
  • Characteristic exponents and strange attractors
  • Stable and Random Motions in Dynamical Systems


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