Colored-noise-induced parametric resonance

DOI10.1016/S0378-4371(02)01312-2zbMath1001.70026MaRDI QIDQ1847444

Roman V. Bobryk, Andrzej Chrzeszczyk

Publication date: 26 November 2002

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

Gaussian noiseparametric resonanceharmonic oscillatormean-square displacement

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Parametric resonances in linear vibration theory (70J40)

Related Items (2)

The stochastic Mathieu's equation ⋮ Stability regions for Mathieu equation with imperfect periodicity

Uses Software

• ARPACK

Cites Work

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• Comparison of some approaches for analysis of stochastic systems with short correlation time noise
• The Fokker-Planck equation. Methods of solution and applications
• Stability of regime-switching stochastic differential equations
• Some formulas for Lyapunov exponents and rotation numbers in two dimensions and the stability of the harmonic oscillator and the inverted pendulum
• Periodic solutions of singularly perturbed third-order systems, admitting parametrizatton
• ARPACK Users' Guide
• Mean square stabilization of linear systems by mean zero noise

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