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Cubic planar vector fields with high local cyclicity

Author

Torregrosa, Joan ORCID

Publication date

2024-12-28



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Abstract

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

Document Type

Article

Document version

Published version

Language

English

CDU Subject

Subject

Center-focus; Cyclicity; Limit cycles; Weak-focus order; Lyapunov quantities

Pages

16 p.

Publisher

Springer

Published in

São Paulo Journal of Mathematical Sciences

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© The Author(s) 2024

Attribution 4.0 International

© The Author(s) 2024

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CRM Articles [713]