Crandall, S. H., and Mark, W. D., 1963, "*Random Vibration in Mechanical Systems*", Academic Press, San Diego, CA.

Lin, Y. K., 1967, "*Probabilistic Theory of Structural Dynamics*", McGraw-Hill, New York.

Clough, R. W., and Penzien, J., 1993, Dynamics of Structures, 2nd ed., McGraw-Hill, New York.

Caughey, T. K., 1971, “Nonlinear Theory of Random Vibrations,” "*Advances in Applied Mechanics*", Vol. 11 , C.S.Yih, ed. Academic Press, San Diego, CA, pp. 209–235.

Caughey, T. K., and Dienes, J. K., 1961, “Analysis of a Nonlinear First-Order System With a White Noise Input,” J. Appl. Phys.

[CrossRef], 32 (11), pp. 2476–2479.

Gardiner, C. W., 1983, "*Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences*", Springer-Velarg, Berlin.

Andronov, A., Pontryagin, L., and Witt, A., 1933, “On the Statistical Investigation of Dynamical Systems,” Zh. Eksp. Teor. Fiz., 3 , pp. 165–180 (in Russian).

Kramers, H. A., 1940, “Brownian Motion in a Field of Force and Diffusion Model of Chemical Reactions,” Physica (Utrecht)

[CrossRef], 7 , pp. 284–304.

Caughey, T. K., and Ma, F., 1982, “The Exact Steady-State Solution of a Class of Non-Linear Stochastic Systems,” Int. J. Non-Linear Mech.

[CrossRef], 17 (3), pp. 137–142.

Dimentberg, M. F., 1982, “An Exact Solution to a Certain Non-Linear Random Vibration Problem,” Int. J. Non-Linear Mech.

[CrossRef], 17 (4), pp. 231–236.

Roberts, J. B., and Spanos, P. D., 1986, “Stochastic Averaging: an Approximate Method of Solving Random Vibration Problems,” Int. J. Non-Linear Mech.

[CrossRef], 21 , pp. 111–134.

Stratonovich, R. L., 1986, "*Topics in the Theory of Random Noise*", Vols. 1 and 2 , Gordon & Breach, New York.

Khasminskii, R. Z., 1966, “A Limit Theorem for Solutions of Differential Equations With Random Right Hand Sides,” Theor. Probab. Appl.

[CrossRef], 11 , pp. 390–405.

Bogoliubov, N., and Mitropolski, A., 1961, "*Asymptotic Methods in the Theory of Non-linear Oscillations*", Gordon & Breach, New York.

Iwan, W. D., Spanos, P.-T., 1978, “Response Envelope Statistics for Nonlinear Oscillators with Random Excitation,” ASME J. Appl. Mech., 100 (1), pp. 170–174.

Spanos, P.-T. D., 1976, “Linearization Techniques for Non-Linear Dynamical Systems,” Report No. EERL 70-04, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, CA.

Spanos, P. D., Cacciola, P., and Muscolino, G., 2004, “Stochastic Averaging of Preisach Hysteretic Systems,” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 130 (11), pp. 1257–1267.

Bouc, R., 1994, “The Power Spectral Density of Response for a Strongly Non-Linear Random Oscillator,” J. Sound Vib.

[CrossRef], 175 (3), pp. 317–331.

Spanos, P.-T. D., 1978, “Stochastic Analysis of Oscillators with Non-Linear Damping,” Int. J. Non-Linear Mech., 13 , pp. 249–259.

Spanos, P.-T. D., 1981, “A Method for Analysis of Non-Linear Vibrations Caused by Modulated Random Excitation,” Int. J. Non-Linear Mech., 16 , pp. 1–11.

Spanos, P.-T. D., and Iwan, W. D., 1978, “Computational Aspects of Random Vibration Analysis,” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 104 (EM6), pp. 1043–1415.

Spanos, P.-T. D., 1978, “Non-Stationary Random Vibration of a Linear Structure,” Int. J. Solids Struct., 14 , pp. 861–867.

Spencer, B. F., and Bergman, L. A., 1993, “Numerical Solutions of the Fokker-Planck Equations for Nonlinear Stochastic Systems,” Nonlinear Dyn.

[CrossRef], 4 , pp. 357–372.

Wojtkiewicz, S. F., Johnson, E. A., Bergman, L. A., Grigoriu, M., and Spencer, B. F., 1999, “Response of Stochastic Dynamical Systems Driven by Additive Gaussian and Poisson White Noises: Solution of a Forward Generalized Kolmogorov Equation by a Spectral Finite Difference Method,” Comput. Methods Appl. Mech. Eng., 168 (1–4), pp. 73–89.

Masud, A., and Bergman, L. A., 2005, “Application of Multi-Scale Finite Element Methods to the Solution of the Fokker-Planck Equation,” Comput. Methods Appl. Mech. Eng.194 , pp. 1513–1526.

Zhu, W., and Lin, Y. K., 1991, “Stochastic Averaging of Energy Envelopes,” J. Eng. Mech., 117 , pp. 1890–1905.

Krenk, S., and Roberts, J. B., 1999, “Local Similarity in Non-Linear Random Vibration,” ASME J. Appl. Mech., 66 , pp. 225–235.