An equivalent nonlinearization method for strongly nonlinear oscillations

Nonlinear Oscillations

Ali H. Nayfeh, Dean T. Mook, Phillip Holmes · Journal of Applied Mechanics · 1980 · 4.7K citations

Asymptotic solutions of nonlinear second order differential equations with variable coefficients

Journal of Applied Mathematics and Mechanics · 1959 · 155 citations

Variable Coefficients, Oscillation Theory, Asymptotic Solutions +2

Averaging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators

Zhengji Xu, Y.K. Cheung · Journal of Sound and Vibration · 1994 · 127 citations

Numerical Analysis, Engineering, Perturbation Method +7

Perturbation Techniques for Oscillatory Systems with Slowly Varying Coefficients

J. Kevorkian · SIAM Review · 1987 · 71 citations

Numerical Analysis, Nonlinear Oscillation, Sustained Resonance +7

A perturbation-incremental method for strongly non-linear oscillators

H.S.Y. Chan, K.W. Chung, Zhengji Xu · International Journal of Non-Linear Mechanics · 1996 · 60 citations

Numerical Analysis, Perturbation Method, Oscillation Theory +2