Bifurcational Mechanism of Multistability Formation and Frequency Entrainment in a van der Pol Oscillator with an Additional Oscillatory Circuit

DOI10.1142/S0218127416501248zbMath1343.34086MaRDI QIDQ3187973

Sergey V. Astakhov, Oleg Astakhov, Juergen Kurths, Vladimir Astakhov

Publication date: 5 September 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

bifurcationsmultistability formationmultimode oscillators

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Analytic circuit theory (94C05) Invariant manifolds for ordinary differential equations (34C45) Multifrequency systems of ordinary differential equations (34C46)

Related Items (3)

Multistability, quasiperiodicity and chaos in a self-oscillating ring dynamical system with three degrees of freedom based on the van der Pol generator ⋮ The emergence of multistability and chaos in a two-mode van der Pol generator versus different connection types of linear oscillators ⋮ Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria

Uses Software

• XPPAUT

Cites Work

• Control of multistability
• Simulating, Analyzing, and Animating Dynamical Systems
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
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