Equivalent non-linear system method for stochastically excited and dissipated partially integrable Hamiltonian systems

DOI10.1016/S0020-7462(00)00043-3zbMath1345.70024OpenAlexW1994260998MaRDI QIDQ872661

N. E. Zubov

Publication date: 28 March 2007

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7462(00)00043-3

zbMATH Keywords

stochastic excitationdissipationrandom vibrationHamiltonian systemequivalent nonlinear system

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Hamilton's equations (70H05) Ordinary differential equations and systems with randomness (34F05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems in classical and celestial mechanics (37N05) Parametric resonances for nonlinear problems in mechanics (70K28)

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