This work is licensed under the Creative Commons Attribution 4.0 International License.
Wang, H., Ma, J., Chen, Y., et al. (2014). Effect of an autapse on the firing pattern transition in a bursting neuron. Communications in Nonlinear Science and Numerical Simulation, 19(9), 3242-3254. https://doi.org/10.1016/j.cnsns.2014.02.018Search in Google Scholar
Qin, H., Ma, J., Jin, W., et al. (2014). Dynamics of electric activities in neuron and neurons of network induced by autapses. Science China Technological Sciences, 57, 936-946. https://doi.org/10.1007/s11431-014-5534-0Search in Google Scholar
Sun, J., & Ding, Q. (2013). Advances in analysis and control of time-delayed dynamical systems. Higher Education Press. (in Chinese)Search in Google Scholar
Verdugo, A., & Rand, R. (2008). Hopf bifurcation in a DDE model of gene expression. Communications in Nonlinear Science and Numerical Simulation, 13(2), 235-242. https://doi.org/10.1016/j.cnsns.2006.05.001Search in Google Scholar
Wu, F., & Xu, Y. (2009). Stochastic Lotka-Volterra population dynamics with infinite delay. SIAM Journal on Applied Mathematics, 70(3), 641-657. https://doi.org/10.1137/080719194Search in Google Scholar
Hu, Y. (in Chinese). Stability Study of Neutral Delay Systems. University of Science and Technology of China.Search in Google Scholar
Yang, J., Sanjuán, M. A. F., & Liu, H. (2015). Signal generation and enhancement in a delayed system. Communications in Nonlinear Science & Numerical Simulation, 22(1-3), 1158-1168. https://doi.org/10.1016/j.cnsns.2014.08.005Search in Google Scholar
Daqaq, M. F., Alhazza, K. A., & Qaroush, Y. (2011). On primary resonances of weakly nonlinear delay systems with cubic nonlinearities. Nonlinear Dynamics, 64, 253-277. https://doi.org/10.1007/s11071-010-9859-3Search in Google Scholar
Saeed, N. A., El-Ganini, W. A., & Eissa, M. (2013). Nonlinear time delay saturation-based controller for suppression of nonlinear beam vibrations. Applied Mathematical Modelling, 37(20-21), 8846-8864. https://doi.org/10.1016/j.apm.2013.04.010Search in Google Scholar
Maccari, A. (2003). Vibration control for the primary resonance of a cantilever beam by a time delay state feedback. Journal of Sound and Vibration, 259(2), 241-251. https://doi.org/10.1006/jsvi.2002.5144Search in Google Scholar
Yang, J., & Liu, X. (2010). Delay induces quasi-periodic vibrational resonance. Journal of Physics A: Mathematical and Theoretical, 43(12), 122001. https://doi.org/10.1088/1751-8113/43/12/122001Search in Google Scholar
Jeevarathinam, C., Rajasekar, S., & Sanjuán, M. A. F. (2011). Theory and numerics of vibrational resonance in Duffing oscillators with time-delayed feedback. Physical Review E, 83(6), 066205. https://doi.org/10.1103/PhysRevE.83.066205Search in Google Scholar
Yang, J., & Zhu, H. (2013). Bifurcation and resonance induced by fractional-order damping and time delay feedback in a Duffing system. Communications in Nonlinear Science and Numerical Simulation, 18(5), 1316-1326. https://doi.org/10.1016/j.cnsns.2012.09.023Search in Google Scholar
Yang, J., Sanjuán, M. A. F., Xiang, W., et al. (2013). Pitchfork bifurcation and vibrational resonance in a fractional-order Duffing oscillator. Pramana, 81, 943-957. https://doi.org/10.1007/s12043-013-0621-5Search in Google Scholar
Yang, J., & Liu, X. (2012). Analysis of periodic vibrational resonance induced by linear time delay feedback. Acta Physica Sinica, 61(1), 010505. (in Chinese) https://doi.org/10.7498/aps.61.010505Search in Google Scholar
Gammaitoni, L., Hänggi, P., Jung, P., et al. (1998). Stochastic resonance. Reviews of Modern Physics, 70(1), 223. https://doi.org/10.1103/RevModPhys.70.223Search in Google Scholar
Landa, P. S., & McClintock, P. V. E. (2000). Vibrational resonance. Journal of Physics A: Mathematical and General, 33(45), L433-L438. https://doi.org/10.1088/0305-4470/33/45/103Search in Google Scholar
Baltanás, J. P., Lopez, L., Blechman, I. I., et al. (2003). Experimental evidence, numerics, and theory of vibrational resonance in bistable systems. Physical Review E, 67(6), 066119. https://doi.org/10.1103/PhysRevE.67.066119Search in Google Scholar
Xiao, L., Zhang, X., Lu, S., et al. (2019). A novel weak-fault detection technique for rolling element bearing based on vibrational resonance. Journal of Sound and Vibration, 438, 490-505. https://doi.org/10.1016/j.jsv.2018.09.039Search in Google Scholar
Ge, M., Lu, L., Xu, Y., et al. (2020). Vibrational mono-/bi-resonance and wave propagation in FitzHugh Nagumo neural systems under electromagnetic induction. Chaos, Solitons & Fractals, 133, 109645. https://doi.org/10.1016/j.chaos.2020.109645Search in Google Scholar
Ren, Y., Pan, Y., Duan, F., et al. (2017). Exploiting vibrational resonance in weak-signal detection. Physical Review E, 96(2), 022141. https://doi.org/10.1103/PhysRevE.96.022141Search in Google Scholar
Calderón, L. F., Chuang, C., & Brumer, P. (2023). Electronic vibrational resonance does not significantly alter steady-state transport in natural light-harvesting systems. The Journal of Physical Chemistry Letters, 14(6), 1436-1444. https://doi.org/10.1021/acs.jpclett.2c03842Search in Google Scholar
Huang, S., Zhang, J., Yang, J., et al. (2023). Logical vibrational resonance in a symmetric bistable system: Numerical and experimental studies. Communications in Nonlinear Science and Numerical Simulation, 119, 107123. https://doi.org/10.1016/j.cnsns.2023.107123Search in Google Scholar
Jeevarathinam, C., Rajasekar, S., & Sanjuán, M. A. F. (2013). Effect of multiple time-delay on vibrational resonance. Chaos: An Interdisciplinary Journal of Nonlinear Science, 23(1), 013136. https://doi.org/10.1063/1.4793542Search in Google Scholar
Xie, J., Guo, R., Ren, Z., He, D., & Xu, H. (2023). Vibration resonance and fork bifurcation of under-damped Duffing system with fractional and linear delay terms. Nonlinear Dynamics, 111, 10981-10999. https://doi.org/10.1007/s11071-023-08462-2Search in Google Scholar
Yan, Z., & Liu, X. (2021). Fractional-order harmonic resonance in a multi-frequency excited fractional Duffing oscillator with distributed time delay. Communications in Nonlinear Science and Numerical Simulation, 97, 105754. https://doi.org/10.1016/j.cnsns.2021.105754Search in Google Scholar
Ning, L., & Chen, Z. (2020). Vibrational resonance analysis in a gene transcriptional regulatory system with two different forms of time-delays. Physica D: Nonlinear Phenomena, 401, 132164. https://doi.org/10.1016/j.physd.2019.132164Search in Google Scholar
Wang, R., Zhang, H., & Zhang, Y. (2022). Bifurcation and vibration resonance in the time delay Duffing system with fractional internal and external damping. Meccanica, 57(5), 999-1015. https://doi.org/10.1007/s11012-022-01483-ySearch in Google Scholar
Guo, W., & Ning, L. (2020). Vibrational resonance in a fractional order quintic oscillator system with time delay feedback. International Journal of Bifurcation and Chaos, 30(02), 2050025. https://doi.org/10.1142/S021812742050025XSearch in Google Scholar
Li, R., Li, J., & Huang, D. (2021). Static bifurcation and vibrational resonance in an asymmetric fractional-order delay duffing system. Physica Scripta, 96(8), 085214. https://doi.org/10.1088/1402-4896/ac00e6Search in Google Scholar
Blekhman, I. I. (2004). Selected Topics in Vibrational Mechanics. Singapore: World Scientific.Search in Google Scholar
Thomsen, J. J. (2021). Vibrations and Stability: Advanced Theory, Analysis, and Tools. Berlin: Springer.Search in Google Scholar
Guckenheimer, J., & Holmes, P. (2013). Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag.Search in Google Scholar