On Some Reversible Cubic Systems

Barbara Arcet and Valery G. Romanovski
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Barbara Arcet: Center for Applied Mathematics and Theoretical Physics, University of Maribor, 2000 Maribor, Slovenia
Valery G. Romanovski: Center for Applied Mathematics and Theoretical Physics, University of Maribor, 2000 Maribor, Slovenia

Mathematics, 2021, vol. 9, issue 12, 1-20

Abstract: We study three systems from the classification of cubic reversible systems given by ?o?a?dek in 1994. Using affine transformations and elimination algorithms from these three families the six components of the center variety are derived and limit-cycle bifurcations in neighborhoods of the components are investigated. The invariance of the systems with respect to the generalized involutions introduced by Bastos, Buzzi and Torregrosa in 2021 is discussed. Computations are performed using the computer algebra systems Mathematica and Singular .

Keywords: centers; reversibility; cubic systems; involution; limit cycles (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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