Response statistic of strongly non-linear oscillator to combined deterministic and random excitation

DOI10.1016/S0020-7462(03)00070-2zbMath1348.34070OpenAlexW2015870331MaRDI QIDQ873348

Rong Haiwu, Xu Wei, Wang Xiangdong, Meng Guang, Fang Tong

Publication date: 29 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(03)00070-2

zbMATH Keywords

multiple scale methodvan der Pol-Duffing oscillatormethod of parameter transformationresponse statistic

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (5)

Stochastic response and bifurcation of periodically driven nonlinear oscillators by the generalized cell mapping method ⋮ First-passage failure of strongly nonlinear oscillators under combined harmonic and real noise excitations ⋮ First passage failure of quasi integrable-Hamiltonian systems under combined harmonic and white noise excitations ⋮ Nonlinear response of SDOF systems under combined deterministic and random excitations ⋮ Responses of strongly non-linear oscillator parametrically excited by random narrow-band noise

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