[1] S. H. Strogatz. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering(2018).

[2] M. Kauranen, A. V. Zayats. Nonlinear plasmonics. Nat. Photonics, 6, 737-748(2012).

[3] A. H. Nayfeh, D. T. Mook. Nonlinear Oscillations(2008).

[4] E. Ott, C. Grebogi, J. A. Yorke. Controlling chaos. Phys. Rev. Lett., 64, 1196-1199(1990).

[5] G. M. Whitesides, B. Grzybowski. Self-assembly at all scales. Science, 295, 2418-2421(2002).

[6] M. W. Hirsch, S. Smale, R. L. Devaney. Differential Equations, Dynamical Systems, and an Introduction to Chaos(2013).

[7] Q. P. Unterreithmeier, T. Faust, J. P. Kotthaus. Damping of nanomechanical resonators. Phys. Rev. Lett., 105, 027205(2010).

[8] N. I. Zheludev, Y. S. Kivshar. From metamaterials to metadevices. Nat. Mater., 11, 917-924(2012).

[9] A. Eichler et al. Nonlinear damping in mechanical resonators made from carbon nanotubes and grapheme. Nat. Nanotechnol., 6, 339-342(2011).

[10] J. M. Dudley, G. Genty, S. Coen. Supercontinuum generation in photonic crystal fiber. Rev. Mod. Phys., 78, 1135-1184(2006).

[11] F. T. Arecchi, S. Boccaletti, P. L. Ramazza. Pattern formation and competition in nonlinear optics. Phys. Rep., 318, 1-83(1999).

[12] Y. V. Kartashov, B. A. Malomed, L. Torner. Solitons in nonlinear lattices. Rev. Mod. Phys., 83, 247-305(2011).

[13] W Jia et al. Intracavity spatiotemporal metasurface. Adv. Photonics, 5, 026002(2023).

[14] J. Zou et al. 3.6 W compact all-fiber Pr3+-doped green laser at 521 nm. Adv. Photonics, 4, 056001(2022). https://doi.org/10.1117/1.AP.4.5.056001

[15] P. M. Paul et al. Observation of a train of attosecond pulses from high harmonic generation. Science, 292, 1689-1692.

[16] P. Del’Haye et al. Optical frequency comb generation from a monolithic microresonator. Nature, 450, 1214-1217(2007).

[17] W. Wang, L. Wang, W. Zhang. Advances in soliton microcomb generation. Adv. Photonics, 2, 034001(2020).

[18] M. Yu et al. Mode-locked mid-infrared frequency combs in a silicon microresonator. Optica, 3, 854-860(2016).

[19] H. Zhang et al. The dissipative Talbot soliton fiber laser. Sci. Adv., 10, eadl2125(2024).

[20] J. Peng et al. Modulation instability in dissipative soliton fiber lasers and its application on cavity net dispersion measurement. J. Lightwave Technol., 30, 2707-2712(2012).

[21] N. N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo. Multisoliton solutions of the complex Ginzburg-Landau equation. Phys. Rev. Lett., 79, 4047-4051(1997).

[22] D. Y. Tang et al. Observation of bound states of solitons in a passively mode-locked fiber laser. Phys. Rev. A, 64, 033814(2001).

[23] J. M. Soto-Crespo et al. Soliton complexes in dissipative systems: vibrating, shaking, and mixed soliton pairs. Phys. Rev. E, 75, 016613(2007).

[24] L. M. Zhao et al. Bound states of gain-guided solitons in a passively mode-locked fiber laser. Opt. Lett., 32, 3191-3193(2007).

[25] B. Cao et al. Spatiotemporal mode-locking and dissipative solitons in multimode fiber lasers. Light Sci. Appl., 12, 260(2023).

[26] S. Liu et al. On-demand harnessing of photonic soliton molecules. Optica, 9, 240-250(2022).

[27] Y. Guo et al. Unveiling the complexity of spatiotemporal soliton molecules in real time. Nat. Commun., 14, 2029(2023).

[28] Y. Han et al. Pure-high-even-order dispersion bound solitons complexes in ultra-fast fiber lasers. Light Sci. Appl., 13, 101(2024).

[29] X. Hu et al. Novel optical soliton molecules formed in a fiber laser with near-zero net cavity dispersion. Light Sci. Appl., 12, 38(2023).

[30] Z. Z. Si et al. Polarization-induced buildup and switching mechanisms for soliton molecules composed of noise-like-pulse transition states. Laser Photonics Rev., 2401019(2024).

[31] G. Herink et al. Real-time spectral interferometry probes the internal dynamics of femtosecond soliton molecules. Science, 356, 50-54(2017).

[32] K. Krupa et al. Real-time observation of internal motion within ultrafast dissipative optical soliton molecules. Phys. Rev. Lett., 118, 243901(2017).

[33] X. Liu, X. Yao, Y. Cui. Real-time observation of the buildup of soliton molecules. Phys. Rev. Lett., 121, 023905(2018).

[34] Y. Zhou et al. Buildup and dissociation dynamics of dissipative optical soliton molecules. Optica, 7, 965-972(2020).

[35] Y. Cui et al. Dichromatic “breather molecules” in a mode-locked fiber laser. Phys. Rev. Lett., 130, 153801(2023).

[36] D. Zou et al. Quantum limited timing jitter of soliton molecules in a mode-locked fiber laser. Opt. Express, 29, 34590-34599(2021).

[37] D. Zou et al. Quasi-period dynamics of soliton molecules: route to chaos and intrinsic frequency entrainment. Ultrafast Sci., 4, 0061(2024).

[38] Y. Du et al. Stable loosely bounded asymmetric soliton molecules in fiber lasers. Phys. Rev. A, 104, 043508(2021).

[39] J. Peng et al. Breather molecular complexes in a passively mode-locked fiber laser. Laser Photonics Rev., 15, 2000132(2021).

[40] X. Lu et al. From breather soliton molecules to chaos in a laser cavity: the scenario of intermittent transitions. Opt. Express, 32, 26207-26216(2024).

[41] Y. Song et al. Chaotic internal dynamics of dissipative optical soliton molecules. Laser Photonics Rev., 17, 2300066(2023).

[42] F. Kurtz, C. Ropers, G. Herink. Resonant excitation and all-optical switching of femtosecond soliton molecules. Nat. Photonics, 14, 9-13(2020).

[43] C. Luo et al. Real-time comprehensive control over soliton molecules enabled by physics-inspired searching. Laser Photonics Rev., 18, 2401153(2024).

[44] L. Nimmesgern et al. Soliton molecules in femtosecond fiber lasers: universal binding mechanism and direct electronic control. Optica, 8, 1334-1339(2021).

[45] Y. Liu et al. Phase-tailored assembly and encoding of dissipative soliton molecules. Light Sci. Appl., 12, 123(2023).

[46] M. Pang et al. All-optical bit storage in a fibre laser by optomechanically bound states of solitons. Nat. Photonics, 10, 454-458(2016).

[47] W. Weng, R. Bouchand, T. J. Kippenberg. Formation and collision of multistability-enabled composite dissipative Kerr solitons. Phy. Rev. X, 10, 021017(2020).

[48] D. Zou et al. Synchronization of the internal dynamics of optical soliton molecules. Optica, 9, 1307-1313(2022).

[49] U. Fano. Effects of configuration interaction on intensities and phase shifts. Phys. Rev., 124, 1866-1878(1961).

[50] R. Weill et al. Noise-mediated Casimir-like pulse interaction mechanism in lasers. Optica, 3, 189-192(2016).

[51] M. H. J. De Jong et al. Mechanical overtone frequency combs. Nat. Commun., 14, 1458(2023).

[52] H. A. Haus. Mode-locking of lasers. IEEE J. Sel. Top. Quantum Electron., 6, 1173-1185(2000).

[53] T. Kaisar et al. Nonlinear stiffness and nonlinear damping in atomically thin MoS₂ nanomechanical resonators. Nano Lett., 22, 9831-9838(2022).

[54] A. Prosperetti. Application of the subharmonic threshold to the measurement of the damping of oscillating gas bubbles. J. Acoust. Soc. Amer., 61, 11-16(1977).

[55] X. Zhang et al. From breather solitons to chaos in an ultrafast laser: the scenario of cascading short and long-period pulsations. Chaos Solitons Fractals, 182, 114841(2024).

[56] X. Wu et al. Synchronization, desynchronization, and intermediate regime of breathing solitons and soliton molecules in a laser cavity. Phys. Rev. Lett., 131, 263802(2023).

[57] M. T. Rosenstein, J. J. Collins, C. J. De Luca. A practical method for calculating largest Lyapunov exponents from small data sets. Phys. D, 65, 117-134(1993).

[58] J. M. Soto-Crespo, N. Akhmediev. Soliton as strange attractor: nonlinear synchronization and chaos. Phys. Rev. Lett., 95, 024101(2005).

[59] H. Kang et al. Observation of optical chaotic solitons and modulated subharmonic route to chaos in mode-locked laser. Phys. Rev. Lett., 133, 263801(2024).

[60] G. Xu et al. Spontaneous symmetry breaking of dissipative optical solitons in a two-component Kerr resonator. Nat. Commun., 12, 4023(2021).

[61] F. Xin et al. Evidence of chaotic dynamics in three-soliton collisions. Phys. Rev. Lett., 127, 133901(2021).

[62] X. Wu et al. Farey tree and devil’s staircase of frequency-locked breathers in ultrafast lasers. Nat. Commun., 13, 5784(2022).

[63] J. A. Lang et al. Controlling intracavity dual-comb soliton motion in a single-fiber laser. Sci. Adv., 10, eadk229(2024).