ABC-like flows on the 3-torus.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0090849
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,… read more here.
Keywords: flows torus; abc like; like flows; family ... See more keywords
On Topological Classification of Gradient-like Flows on an $$n$$ -sphere in the Sense of Topological Conjugacy
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DOI: 10.1134/s1560354720060143
Abstract: In this paper, we study gradient-like flows without heteroclinic intersections on an $$n$$ -sphere up to topological conjugacy. We prove that such a flow is completely defined by a bicolor tree corresponding to a skeleton… read more here.
Keywords: like flows; topological classification; topological conjugacy; gradient ... See more keywords