[1] Xin Z.F., Neild S.A., Wagg D.J., and Zuo Z.X., Resonant response functions for nonlinear oscillators with polynomial type nonlinearities, Journal of Sound and Vibration, 332 (7) 2013, 1777–1788.
[2] Wang S. and Huseyin K., ‘Maple’ Analysis of nonlinear oscillations, Mathematical and Computer Modelling, 16(11), 1992, 49-57.
[3] Bellizzi S. and Bouc R., A new formulation for the existence and calculation for nonlinear normal modes, Journal of Sound and Vibration, 287(3), 2005, 545-569.
[4] Shaw A.D., Neild S.A., and Wagg D.J., Dynamic analysis of high static low dynamic stiffness vibration isolation mounts, Journal of Sound and Vibration, 332, 2012, 1437–1455.
[5] Jezequel L. and Lamarque, C. H., Analysis of nonlinear dynamic systems by the normal form theory, Journal of Sound and Vibration, 149(3), 1991, 429–459.
[6] Sulemen M. and Wu Q., Comparative solution of nonlinear quintic cubic oscillator using modified homotopy method, Advances in Mathematical Physics, 2015, Article ID 932905, 1-5.
[7] Razzak M.A., An analytical approximate technique for solving cubic-quintic Duffing oscillator, Alexandria Engineering Journal, 55, 2016, 2959-2965.
[8] Alexander N.A. and Schilder, F., Exploring the performance of a nonlinear tuned mass damper, Journal of Sound and Vibration, 319(1-2), 2009, 445–462.
[9] Cammarano A., Hill T.L., Neild S.A., and Wagg D.J., Bifurcations of backbone curves for systems of coupled nonlinear two mass oscillator, Nonlinear Dynamics, 77(1-2), 2014, 311–320.
[10] Lai S.K., Lim C.W., Wu B.S., Wang C., Zeng Q.C. and He X.F., Newton-harmonic balancing approach for accurate solutions to nonlinear cubic-quintic Duffing oscillator, Applied Mathematical Modelling, 33(2), 2009, 852-866.
[11] Liu X., Wagg, D. J., ε2-order normal form analysis for a two-degree-of-freedom nonlinear coupled oscillator, Nonlinear Dynamics of Structures, Systems and Devices, Springer, 2020, 25–33.
[12] Hale J.K., Oscillations in nonlinear systems, McGraw-Hill, 1963.
[13] Urabe M., Nonlinear autonomous oscillations: Analytical theory, Volume 34, Academic Press, 1967.
[14] Wagg D.J., Neild S.A., Nonlinear vibration with control: for flexible and adaptive structures, Solid Mechanics and its Applications, 2nd edition, vol. 218, Springer, Berlin, Germany, 2014.
[15] Nayfeh A.H., Mook D., Nonlinear oscillations, Wiley, New York, 1995.
[16] Nayfeh A.H., Introduction to Perturbation Techniques, John Wiley and Sons, New York, 1981.
[17] Schilder F., Dankowicz H., Recipes for Continuation, SIAM Computational Science and Engineering, 2013.
[18] Schilder F., Dankowicz H., Continuation core and toolboxes (coco). Available at: https://sourceforge.net/projects/cocotools/, 2017.
[19] Thomsen J., Vibrations and Stability: Order and Chaos, McGraw Hill, 1997.
[20] Richards D., Advanced mathematical methods with Maple, Cambridge University Press, 2009.
[21] Enns R., McGuire G., Nonlinear physics with Maple for scientists and engineers, Springer, 2000.
[22] Kovacic I., Brennan M.J., The Duffing Equation: Nonlinear Oscillators and their Behavior, John Wiley & Sons, 2011.
[23] Nayfeh A.H., The Method of normal forms, Wiley, New York, 1993.
[24] Kahn P.B., Zarmi Y., Nonlinear dynamics: Exploration through normal forms, Dover Publications, New York, USA, 2014.
[25] Arnold V.I., Geometrical methods in the theory of ordinary differential equations, vol. 250, Springer Science & Business Media, 2012.
[26] Lui X., Symbolic Tools for the Analysis of nonlinear dynamical systems, PhD thesis, Department of Applied Mathematics, University of Western Ontario, London, 1999.
[27] Hill T.L., Cammarano A., Neild A. and Wagg D.J., An analytical method for the optimization of weakly nonlinear systems, Proceedings of EURODYN 2014, 2014, 1981–1988.
[28] Breunung T. and Haller G., Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems, Proceedings of Royal Society A, 474, 2018, 2018-0083.