Han, XiujingBi, QinshengJi, PengKurths, Juergen2015-11-132015-11-132015-07-15Han, X, Bi, Q, Ji, P & Kurths, J 2015, 'Fast-slow analysis for parametrically and externally excited systems with two slow rationally related excitation frequencies', Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 92, no. 1, 012911. https://doi.org/10.1103/PhysRevE.92.0129111539-3755http://hdl.handle.net/2164/5199ACKNOWLEDGMENTS The authors express their gratitude to the anonymous reviewers for their valuable comments and suggestions that help to improve the paper. This work was supported by the National Natural Science Foundation of China (Grants No. 11202085, No. 21276115, No. 11302087, No. 11302086, and No. 11402226), the Natural Science Foundation of Jiangsu Province (Grant No. BK20130479), and the Research Foundation for Advanced Talents of Jiangsu University (Grant No. 11JDG075 ).122118730engmixed-mode oscillationsHOPF-bifurcationcatalyst deactivationpassagemodulationdynamicspatternsperiodchaosweakQC PhysicsQCJournal article10.1103/PhysRevE.92.012911921