Work

Periodic Solutions in the van der Pol Oscillator: A Comparison

Year: 2025

Type: article

Abstract: An expansion of the periodic solution of the van der Pol oscillator for small values of the damping parameter [Formula: see text] is shown via a frequency domain method and harmonic balancing technique. An approximation of the amplitude of the first harmonic and the frequency [Formula: see text] in terms of [Formula: see text] is obtained by an analytical form instead of the conventional algorithmic approach used before with this methodology. Its decomposition under different harmonics [Formula: see text] and [Formula: see text] where [Formula: see text] is written in terms of their leading coefficients in power series of [Formula: see text] to make easy comparisons with other methods in the literature.

Source: International Journal of Bifurcation and Chaos

DOI: 10.1142/s0218127425500592

Authors: Cinthya A. Bares, Jorge L. Moiola, Guillermo L. Calandrini

Institutions: Universidad Nacional del Sur, Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Científico Tecnológico - Bahía Blanca

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional del Sur

Awards: G4552897388, G6688716418, G8405830477