Details

Autor(en) / Beteiligte

• Astakhov, Sergey V.
• Astakhov, Oleg V.
• Fadeeva, Natalia S.
• Astakhov, Vladimir V.

Titel

A ring generator of two- and three-frequency quasiperiodic self-oscillations based on the van der Pol oscillator

Ist Teil von

• Chaos (Woodbury, N.Y.), 2021-08, Vol.31 (8)

Erscheinungsjahr

2021

Beschreibungen/Notizen

• In this work, we present a model of an autonomous three-mode ring generator based on the van der Pol oscillator, where periodic, two-frequency quasiperiodic, three-frequency quasiperiodic, and chaotic self-oscillations are observed. The transitions to chaos occur as a result of a sequence of torus doubling bifurcations. When the control parameters are varied, the resonant limit cycles appear on a two-dimensional torus, and two-dimensional tori appear on a three-dimensional torus as a result of synchronization. We used a time series of dynamic variables, projections of phase portraits, Poincaré sections, and spectra of Lyapunov characteristic exponents to study the dynamics of the ring generator.