dc.contributor.author
Rezende, A. C.
dc.contributor.author
Santos, M. A. S.
dc.contributor.author
Torregrosa, J.
dc.date.accessioned
2025-01-15T09:09:09Z
dc.date.available
2025-01-15T09:09:09Z
dc.date.issued
2024-12-30
dc.identifier.uri
http://hdl.handle.net/2072/480035
dc.description.abstract
In this paper, we analyze the monotonicity and the number of critical periods of the period function associated with a family of piecewise planar continuous potential systems. In particular, we describe the bifurcation diagram of the period function, determining the regions of the parameter space where it is monotonically increasing or decreasing and where it has at most one simple critical period. In order to prove the main result, we rewrite such a function in terms of the two period functions of the uncoupled planar Hamiltonian systems matched by the separation line.
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dc.description.sponsorship
This work has been realized thanks to the Brazilian CAPES (Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior - Finance Code 001) and FAPESP (grant 2019/21181-0) agencies; the Catalan AGAUR agency (grant 2021SGR00113); the Spanish Ministerio de Ciencia, Innovacion y Universidades, Agencia Estatal de Investigacion (grants PID2022-136613NB-I00 and CEX2020- 001084-M); and the European Union's Horizon 2020 research and innovation programme (grant Dynamics-H2020-MSCA-RISE-2017-777911).
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dc.format.extent
13 p.
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dc.publisher
World Scientific Publishing
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dc.relation.ispartof
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Piecewise planar Hamiltonian system
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dc.subject.other
Period function
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dc.subject.other
Monotonicity
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dc.subject.other
Critical period
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dc.subject.other
Bifurcation diagram
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dc.title
Period Function for a Family of Piecewise Planar Hamiltonian Systems
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.1142/S0218127424501992
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
