1 綜述 Random vibration: a survey of recent developments Stochastic averaging methods in random vibration Recent developments and applications of the stochastic averaging method in random vibration Nonlinear stochastic dynamics and control in Hamiltonian formulation 2 精確平穩解 On exact stationary solutions of stochastically perturbed Hamiltonian systems Exact stationary solutions of stochastically excited and dissipated integrable Hamiltonian systems Exact stationary solutions of stochastically excited and dissipated partially integrable Hamiltonian systems Exact stationary solutions of stochastically excited and dissipated gyroscopic systems 3 等效非線性系統法 The equivalent non-linear system method Equivalent nonlinear system method for stochastically excited and dissipated integrable Hamiltonian systems Equivalent non-linear system method for stochastically excited and dissipated partially integrable Hamiltonian systems 4 隨機平均法 Stochastic averaging of quasi-nonintegrable-Hamiltonian systems Stochastic averaging of quasi-integrable Hamiltonian systems Response and stability of strongly non-linear oscillators under wide-band random excitation Stochastic averaging of quasi-generalized Hamiltonian systems Stochastic averaging of strongly nonlinear oscillators with small fractional derivative damping under combined harmonic and white noise excitations Stochastic averaging of quasi-nonintegrable-Hamiltonian systems under Poisson white noise excitation Stochastic averaging of quasi-non-integrable Hamiltonian systems under fractional Gaussian noise excitation 5 隨機穩定性與隨機分岔 Stochastic stability of quasi-non-integrable-Hamiltonian systems Lyapunov exponents and stochastic stability of quasi-integrable-Hamiltonian systems Stochastic jump and bifurcation of a duffing oscillator under narrow-band excitation Stochastic Hopfbifurcation ofquasi-nonintegrable-Hamiltonian systems Effect of bounded noise on chaotic motion of duffing oscillator under parametric excitation 6 可靠性 First-passage failure of quasi-non-integrable-Hamiltonian systems First-passage failure of quasi-integrable Hamiltonian systems A stochastic theory of cumulative fatigue damage On fatigue crack growth under random loading 7 隨機最優控制 An optimal nonlinear feedback control strategy for randomly excited structural systems Feedback stabilization of quasi-integrable Hamiltonian systems Stabilization of quasi integrable Hamiltonian systems with fractional derivative damping by using fractional optimal control First-passage failure and its feedback minimization of quasi-partially integrable Hamiltonian systems Feedback control of nonlinear stochastic systems for targeting a specified stationary probability density A stochastic optimal semi-active control strategy for ER/MR dampers A stochastically averaged optimal control strategy for quasi-Hamiltonian systems with actuator saturation Asymptotic Lyapunov stability with probability one of quasi-integrable Hamiltonian systems with delayed feedback control A stochastic optimal control strategy for partially observable nonlinear quasi-Hamiltonian systems Stochastic minimax control for stabilizing uncertain quasi-integrable Hamiltonian systems 8 其他 Stochastic FEM based on local averages of random vector fields 編輯說明
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