Stochastic averaging of quasi-non-integrable Hamiltonian systems under fractional Gaussian noise excitation

DOI10.1007/s11071-015-2384-7zbMath1349.70036OpenAlexW1952208238MaRDI QIDQ331295

Mao Lin Deng, Wei-Qiu Zhu

Publication date: 26 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2384-7

zbMATH Keywords

fractional Brownian motionstochastic averaging methodfractional Gaussian noisequasi-non-integrable Hamiltonian system

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) General theory of random and stochastic dynamical systems (37H05) Nearly integrable Hamiltonian systems, KAM theory (70H08) Fractional ordinary differential equations (34A08) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (2)

Response of MDOF strongly nonlinear systems to fractional Gaussian noises ⋮ Probability density and stochastic stability for the coupled Van der Pol oscillator system

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