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Explosive synchronization in populations of cooperative and competitive oscillators

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  • Dai, Xiangfeng
  • Li, Xuelong
  • Gutiérrez, Ricardo
  • Guo, Hao
  • Jia, Danyang
  • Perc, Matjaž
  • Manshour, Pouya
  • Wang, Zhen
  • Boccaletti, Stefano

Abstract

Synchronization is a subject of interdisciplinary relevance, interpolating between efficiency in transportation and digital data transfers to disease in cardiac and neural tissue. While continuous transitions to synchronization are gradual and easy to control, explosive transitions may occur suddenly and can have catastrophic effects. Here we report that in populations of cooperative and competitive oscillators the transition can be tuned between continuous and explosive simply by adjusting the balance between the two oscillator types. We show that this phenomenon is independent of the network topology, and can be described analytically already in the mean-field approximation. Moreover, we provide evidence that the difference between the two transitions is due to a merging process of clusters which is forbidden by adaptation, and that the hysteresis associated to the explosive transition is enhanced when the adaptive mechanisms span larger scales.

Suggested Citation

  • Dai, Xiangfeng & Li, Xuelong & Gutiérrez, Ricardo & Guo, Hao & Jia, Danyang & Perc, Matjaž & Manshour, Pouya & Wang, Zhen & Boccaletti, Stefano, 2020. "Explosive synchronization in populations of cooperative and competitive oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    • Handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305466
    DOI: 10.1016/j.chaos.2019.109589
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    1. Marten Scheffer & Steve Carpenter & Jonathan A. Foley & Carl Folke & Brian Walker, 2001. "Catastrophic shifts in ecosystems," Nature, Nature, vol. 413(6856), pages 591-596, October.
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    Cited by:

    1. Frolov, Nikita & Rakshit, Sarbendu & Maksimenko, Vladimir & Kirsanov, Daniil & Ghosh, Dibakar & Hramov, Alexander, 2021. "Coexistence of interdependence and competition in adaptive multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    2. Xu, Can & Yu, Huajian & Guan, Shuguang, 2023. "Dynamical origin of the explosive synchronization with partial adaptive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Bayani, Atiyeh & Jafari, Sajad & Azarnoush, Hamed & Nazarimehr, Fahimeh & Boccaletti, Stefano & Perc, Matjaž, 2023. "Explosive synchronization dependence on initial conditions: The minimal Kuramoto model," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Wang, Xuan & Zheng, Zhigang & Xu, Can, 2023. "Explosive synchronization in phase oscillator populations with attractive and repulsive adaptive interactions," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    5. Xiao, Feng & Xie, Lingyun & Wei, Bo, 2022. "Explosive synchronization of weighted mobile oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    6. Parastesh, Fatemeh & Dayani, Zahra & Bahramian, Alireza & Jafari, Sajad & Chen, Guanrong, 2023. "Performance of synchronization in networks of chaotic systems under different PID coupling schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    7. Lv, Changchun & Yuan, Ziwei & Si, Shubin & Duan, Dongli & Yao, Shirui, 2022. "Cascading failure in networks with dynamical behavior against multi-node removal," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    8. Lai, Joel Weijia & Cheong, Kang Hao, 2023. "Boosting Brownian-inspired games with network synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    9. Sharma, Amit, 2021. "Explosive synchronization through attractive-repulsive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    10. Li, Wen-Jing & Jiang, Luo-Luo & Chen, Zhi & Perc, Matjaž & Slavinec, Mitja, 2020. "Optimization of mobile individuals promotes cooperation in social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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