Resumen

BARRON, Miguel Angel. Stability of a ring of coupled van der Pol oscillators with non-uniform distribution of the coupling parameter. J. appl. res. technol [online]. 2016, vol.14, n.1, pp.62-66. ISSN 2448-6736.  https://doi.org/10.1016/j.jart.2016.01.002.

The stability of a ring of coupled van der Pol oscillators is studied in this work considering a non-uniform distribution of the coupling parameter along the ring. The stability analysis is based on the transformation of the linearized equation of the ring into a canonical Hill equation. A stability condition is derived considering the stability of the non-periodic term of the Hill equation. Stable and unstable dynamic behavior of the ring is studied by means of numerical simulations.

Palabras llave : Coupled oscillators; Coupling parameter; Hill equation; Stability condition; van der Pol oscillator.

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