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Dynamics resilience of complex networks under edge-additions

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  • Wen, Xingyue
  • Zhou, Jin
  • Jiang, Siyang
  • Zhou, Qian
  • Lu, Jun-an

Abstract

Dynamics resilience – the ability of a network to maintain stable collective dynamics under topology disturbance – is governed by the invariance of its Fiedler value. In this paper, we study dynamics resilience of complex networks under edge-additions. It is proved that networks with higher Fiedler multiplicity r≥2 exhibit remarkable dynamics resilience – adding up to r−1 edges will not bring about dynamics changes, as theoretically and empirically validated. To enable systematic design, we construct several network models that inherently exhibit high dynamics resilience under certain conditions.

Suggested Citation

  • Wen, Xingyue & Zhou, Jin & Jiang, Siyang & Zhou, Qian & Lu, Jun-an, 2025. "Dynamics resilience of complex networks under edge-additions," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p3:s096007792501402x
    DOI: 10.1016/j.chaos.2025.117389
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    References listed on IDEAS

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