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We introduce a 3-parameter family of vector fields on the 3-torus as a linear combination of unit eigenfields of the curl operator for the eigenvalue 2. For this family reminiscent… Click to show full abstract
We introduce a 3-parameter family of vector fields on the 3-torus as a linear combination of unit eigenfields of the curl operator for the eigenvalue 2. For this family reminiscent of the classical ABC flow, we study the existence of stationary points, we give numerical evidence for the existence of chaotic regions, and we present an integrable case. Our main result is that the non-vanishing members of the family are associated with tight contact structures.
Keywords:
flows torus;
abc like;
like flows;
family
Journal Title: Chaos
Year Published: 2022
Link to full text (if available)
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Journal Title: Chaos
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!