Geodesic
Chaos in periodically forced reversible vector fields
Journal of Singularities, Tome 22 (2020), pp. 227-240

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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.
DOI : 10.5427/jsing.2020.22p
Classification : 34C28, 37G05, 37G40, 54H20 
@article{10_5427_jsing_2020_22p,
     author = {Isabel S. Labouriau and Elisa Sovrano},
     title = {Chaos in periodically forced reversible vector fields},
     journal = {Journal of Singularities},
     pages = {227--240},
     publisher = {mathdoc},
     volume = {22},
     year = {2020},
     doi = {10.5427/jsing.2020.22p},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.22p/}
}
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Isabel S. Labouriau; Elisa Sovrano. Chaos in periodically forced reversible vector fields. Journal of Singularities, Tome 22 (2020), pp. 227-240. doi: 10.5427/jsing.2020.22p

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