Transient and stationary response statistics of van der Pol oscillators subjected to broad band random excitation

DOI10.1007/BF02823198zbMath1020.34048MaRDI QIDQ5955775

No author found.

Publication date: 18 February 2002

Published in: Sādhanā (Search for Journal in Brave)

zbMATH Keywords

white noisebroad band random excitationFokker-Planck-Kolmogorov equationvan der Pol oscillators

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Nonlinear dynamics in mechanics (70K99)

Cites Work

• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Numerical simulations of a Van der Pol oscillator
• The Fokker-Planck equation. Methods of solution and applications.
• A practical guide to splines
• On the response of the Van der Pol oscillator to white noise excitation
• A finite element method for the statistics of non-linear random vibration
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