| [1] | Grziwotz F, Chang C W, Dakos V, et al. 2023 Sci. Adv. 9 eabq4558 doi: 10.1126/sciadv.abq4558 |
| [2] | Strogatz S H 2018 Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering (Boca Raton: CRC Press) pp70–80 |
| [3] | Maturana M I, Meisel C, Dell K, et al. 2020 Nat. Commun. 11 2172 doi: 10.1038/s41467-020-15908-3 |
| [4] | Dakos V, Carpenter S R, Brock W A, et al. 2012 PLoS One 7 e41010 doi: 10.1371/journal.pone.0041010 |
| [5] | Carpenter S R, Brock W A 2006 Ecol. Lett. 9 311 doi: 10.1111/j.1461-0248.2005.00877.x |
| [6] | Held H, Kleinen T 2004 Geophys. Res. Lett. 31 L23207 doi: 10.1029/2004GL020972 |
| [7] | Boettiger C, Hastings A 2012 J. R. Soc. Interface. 9 2527 doi: 10.1098/rsif.2012.0125 |
| [8] | Scheffer M, Bascompte J, Brock W A, et al. 2009 Nature 461 53 doi: 10.1038/nature08227 |
| [9] | Lade S J, Gross T 2012 PLoS Comput. Biol. 8 e1002360 doi: 10.1371/journal.pcbi.1002360 |
| [10] | Carpenter S R, Brock W A 2011 Ecology 92 2196 doi: 10.1890/11-0716.1 |
| [11] | Bauch C T, Sigdel R, Pharaon J, Anand M 2016 Proc. Natl. Acad. Sci. U. S. A. 113 14560 doi: 10.1073/pnas.1604978113 |
| [12] | 颜鹏程, 侯威, 胡经国 2012 物理学报 61 139202 doi: 10.7498/aps.61.139202 Yan P C, Hou W, Hu J G 2012 Acta Phys. Sin. 61 139202 doi: 10.7498/aps.61.139202 |
| [13] | 吴浩, 封国林, 侯威, 颜鹏程 2013 物理学报 62 059202 doi: 10.7498/aps.62.059202 Wu H, Feng G L, Hou W, Yan P C 2013 Acta Phys. Sin. 62 059202 doi: 10.7498/aps.62.059202 |
| [14] | 吴浩, 侯威, 颜鹏程, 封国林 2012 物理学报 61 209202 doi: 10.7498/aps.61.209202 Wu H, Hou W, Yan P C, Feng G L 2012 Acta Phys. Sin. 61 209202 doi: 10.7498/aps.61.209202 |
| [15] | Boers N 2018 Nat. Commun. 9 2556 doi: 10.1038/s41467-018-04881-7 |
| [16] | Meisel C, Klaus A, Kuehn C, Plenz D 2015 PLoS Comput. Biol. 11 e1004097 doi: 10.1371/journal.pcbi.1004097 |
| [17] | Dakos V, Van Nes E H, D’Odorico P, Scheffer M 2012 Ecology 93 264 doi: 10.1890/11-0889.1 |
| [18] | Kuznetsov Y A 2023 Elements of Applied Bifurcation Theory (Cham: Springer International Publishing) pp77–102 |
| [19] | Bury T M, Bauch C T, Anand M 2020 J. R. Soc. Interface 17 20200482 doi: 10.1098/rsif.2020.0482 |
| [20] | Chen Z, Fan P Y, Hou X T, Feng G L, Qian Z H 2024 Chaos Soliton. Fract. 187 115409 doi: 10.1016/j.chaos.2024.115409 |
| [21] | Gardiner C W 1985 Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Berlin: Springer) pp106–107 |
| [22] | Box G E, Jenkins G M, Reinsel G C, Ljung G M 2015 Time Series Analysis: Forecasting and Control (Hoboken: John Wiley & Sons) pp21–47 |
| [23] | Welch P 1967 IEEE Trans. Audio Electroacoustics 15 70 doi: 10.1109/TAU.1967.1161901 |
| [24] | Prescott S A, De Koninck Y, Sejnowski T J 2008 PLoS Comput. Biol. 4 e1000198 doi: 10.1371/journal.pcbi.1000198 |
| [25] | Liu C M, Liu X L, Liu S Q 2014 Biol. Cybern. 108 75 doi: 10.1007/s00422-013-0580-4 |
| [26] | Kendall M G 1938 Biometrika 30 81 doi: 10.1093/biomet/30.1-2.81 |
| [27] | Lü M, Wang C N, Ren G D, Ma J, Song X L 2016 Nonlinear Dyn. 85 1479 doi: 10.1007/s11071-016-2773-6 |