Analysis of control relevant coupled nonlinear oscillatory systems

DOI10.3166/ejc.14.263-282zbMath1293.93389OpenAlexW2034609438MaRDI QIDQ397347

Fethi Bouziani, Alina Voda-Besançon, Ioan Doré Landau, Bitmead, Robert R.

Publication date: 12 August 2014

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3166/ejc.14.263-282

zbMATH Keywords

coupled oscillatorsvan der Pol equationKrylov-Bogoliubov methodnonlinear oscillating systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

A note on state and parameter estimation in a van der Pol oscillator ⋮ Second-order sliding-mode differentiators: an experimental comparative analysis using Van der Pol oscillator

Cites Work

• Dynamics of two van der Pol oscillators coupled via a bath
• A new method based on the harmonic balance method for nonlinear oscillators
• Synchronization dynamics in a ring of four mutually coupled biological systems
• Dynamics of three coupled van der Pol oscillators with application to circadian rhythms
• Synchronization dynamics of coupled van der Pol systems
• On response of nonlinear oscillators with random frequency of excitation
• High-frequency nonlinear vibrational control
• Incremental harmonic balance method with multiple time variables for dynamical systems with cubic non-linearities
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