Some examples of compact/non-compact invariant sets for maps of the plane with singularities

It is reviewed an example shown in [1], proving that the existence of fixed points lead to invariant lines which produce compact or non-compact invariant sets of fractal type. Similar chaotic dynamics are studied in recent works by the authors [2], [3].

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Bibliographic Details
Main Authors: Leal, Bladismir Ruiz, Muñoz, Sergio
Format: Conference Proceeding
Language:English
Subjects:
Fixed points (mathematics)
Invariants
Online Access:Get full text
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Description
Summary:It is reviewed an example shown in [1], proving that the existence of fixed points lead to invariant lines which produce compact or non-compact invariant sets of fractal type. Similar chaotic dynamics are studied in recent works by the authors [2], [3].
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0191387