Stable quasi-periodic orbits of a class of quintic Duffing systems

Díaz Marín, Homero G. ^[1] ; Osvaldo Osuna ^[1]
1. [1] Universidad Michoacana, México
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 65, Nº. 1, 2023, págs. 213-224
Idioma: inglés
DOI: 10.33044/revuma.2829
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Resumen
- For a Duffing-type oscillator with constant damping, a unique odd nonlinearity, and time-dependent coefficients which are quasi-periodic, we prove existence and stability conditions of quasi-periodic solutions. We thus generalize some results for periodic coefficients and quintic nonlinearity. We use the classical theory of perturbations and present some numerical examples for the quintic case to illustrate our findings.