Cubic planar vector fields with high local cyclicity

Abstract In this paper, we present two new one-parameter families of cubic systems exhibiting twelve small-amplitude limit cycles for exceptional parameter values.

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Publication Details

Journal
São Paulo Journal of Mathematical Sciences
Published
2024-12-28
DOI
https://doi.org/10.1007/s40863-024-00486-9
Citations
1
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
1.01

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article

Cubic planar vector fields with high local cyclicity

Joan Torregrosa
1 citations
São Paulo Journal of Mathematical Sciences
Advanced Differential Equations and Dynamical Systems
1.01
article

Cubic planar vector fields with high local cyclicity

Joan Torregrosa
article en
1 citations

Abstract

Abstract In this paper, we present two new one-parameter families of cubic systems exhibiting twelve small-amplitude limit cycles for exceptional parameter values.

São Paulo Journal of Mathematical SciencesVol. 19(1)
Universitat Autònoma de Barcelona (ES), Centre de Recerca Matemàtica (ES)
Fundação de Amparo à Pesquisa do Estado de São Paulo, Universidade Estadual Paulista, Universitat Autònoma de Barcelona, Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación
Sustainable cities and communities
Openalex Percentile: Top 20%
Advanced Differential Equations and Dynamical Systems
1.01
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