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Vanishing set of inverse Jacobi multipliers and attractor/repeller sets

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Issue date
2021-01-01
Author
García, I. A. (Isaac A.)
Giné, Jaume
Llibre, Jaume
Maza Sabido, Susanna
Suggested citation
García, I. A. (Isaac A.); Giné, Jaume; Llibre, Jaume; Maza Sabido, Susanna; . (2021) . Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. Chaos, 2021, vol. 31, 013113. https://doi.org/10.1063/5.0020360.
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Abstract
In this paper we study conditions under which the zero-set of the inverse Jacobi multiplier of a smooth vector field contains its attractor/repeller compact sets. The work generalizes previous results focusing on sink singularities, orbitally asymptotic limit cycles and monodromic attractor graphics. Taking different flows on the torus and the sphere as canonical examples of attractor/repeller sets with different topologies, several examples are constructed illustrating the results presented.
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http://hdl.handle.net/10459.1/71032
DOI
https://doi.org/10.1063/5.0020360
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Chaos, 2021, vol. 31, 013113
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  • Articles publicats (Matemàtica) [329]
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