Simple flows on tori with uncommon chaos

DOI10.1134/S1560354720020057zbMath1450.37040OpenAlexW3015677927MaRDI QIDQ1987321

Carles Simó

Publication date: 14 April 2020

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354720020057

zbMATH Keywords

chaosLyapunov exponentsquasi-periodicitychaotic flows on toriexceptional frequencieshomoclinic/heteroclinic points

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Flows on surfaces (37E35)

Cites Work

• Invariant curves of analytic perturbed nontwist area preserving maps
• On the ``hidden harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
• A simple family of exceptional maps with chaotic behavior
• ON A PROBLEM POSED BY MAHLER
• The Many Facets of Chaos
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