dc.contributor.author
Sánchez-Sánchez, I.
dc.contributor.author
Torregrosa, J.
dc.date.accessioned
2023-09-14T14:13:03Z
dc.date.accessioned
2024-09-19T14:35:09Z
dc.date.available
2023-09-14T14:13:03Z
dc.date.available
2024-09-19T14:35:09Z
dc.date.issued
2022-02-01
dc.identifier.uri
http://hdl.handle.net/2072/536905
dc.description.abstract
In this work we study the local cyclicity of some polynomial vector fields in R3. In particular, we give a quadratic system with 11 limit cycles, a cubic system with 31 limit cycles, a quartic system with 54 limit cycles, and a quintic system with 92 limit cycles. All limit cycles are small amplitude limit cycles and bifurcate from a Hopf type equilibrium. We introduce how to find Lyapunov constants in R3 for considering the usual degenerate Hopf bifurcation with a parallelization approach, which enables to prove our results for 4th and 5th degrees. © 2021
eng
dc.description.sponsorship
H2020-MSCA-RISE-2017-777911; Ministerio de Ciencia, Innovación y Universidades, MCIU; Generalitat de Catalunya; Agència de Gestió d'Ajuts Universitaris i de Recerca, AGAUR: 2017SGR1617; Agencia Estatal de Investigación, AEI: CEX2020- 001084-M, FPU16/04317, PID2019-104658GB-I00
dc.format.extent
16 p.
cat
dc.publisher
Elsevier B.V.
cat
dc.relation.ispartof
Communications in Nonlinear Science and Numerical Simulation
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Hopf bifurcation in dimension three; Limit cycles; Lyapunov constants
cat
dc.title
Hopf bifurcation in 3-dimensional polynomial vector fields
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/submittedVersion
cat
dc.identifier.doi
10.1016/j.cnsns.2021.106068
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
