We discuss the appearance of chaos in time-periodic perturbations of reversible vector fields in the plane. We use the normal forms of codimension 1 reversible vector fields and discuss the ways a time-dependent periodic forcing term of pulse form may be added to them to yield topological chaotic behaviour. Chaos here means that the resulting dynamics is semiconjugate to a shift in a finite alphabet. The results rely on the classification of reversible vector fields and on the theory of topological horseshoes. This work is part of a project of studying periodic forcing of symmetric vector fields.

Chaos in periodically forced reversible vector fields / Labouriau, I. S.; Sovrano, E.. - In: JOURNAL OF SINGULARITIES. - ISSN 1949-2006. - 22:(2020), pp. 227-240. [10.5427/jsing.2020.22p]

Chaos in periodically forced reversible vector fields

Sovrano E.
2020

Abstract

We discuss the appearance of chaos in time-periodic perturbations of reversible vector fields in the plane. We use the normal forms of codimension 1 reversible vector fields and discuss the ways a time-dependent periodic forcing term of pulse form may be added to them to yield topological chaotic behaviour. Chaos here means that the resulting dynamics is semiconjugate to a shift in a finite alphabet. The results rely on the classification of reversible vector fields and on the theory of topological horseshoes. This work is part of a project of studying periodic forcing of symmetric vector fields.
2020
22
227
240
Chaos in periodically forced reversible vector fields / Labouriau, I. S.; Sovrano, E.. - In: JOURNAL OF SINGULARITIES. - ISSN 1949-2006. - 22:(2020), pp. 227-240. [10.5427/jsing.2020.22p]
Labouriau, I. S.; Sovrano, E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1262556
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