Work

Bifurcation of limit cycles in piecewise holomorphic systems separated by two external circles

Year: 2026

Type: preprint

Abstract: This work investigates the number of limit cycles bifurcating from the periodic orbits of a linear center when it is perturbed by piecewise holomorphic systems with three zones separated by two external circles. We analyze how different geometric configurations of these zones influence the number of limit cycles. Moreover, we show the existence of at least sixteen limit cycles in fourth-degree piecewise polynomial holomorphic systems under certain configurations.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.08725

Authors: Silva, Carlos Vinícius das Neves, da Silva, Paulo Ricardo

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico

Awards: Non-smooth Systems and Singular Perturbations, G7080048889, G8182037797, G8422559432

OpenAlex ID: W7220971349

Cites: 3

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Related to: 10