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Event-Triggered Stabilisation of Desynchronisation in Networked Oscillatory Systems — arXiv:2608.14907

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.14907
License (as archived): CC0-1.0
Archived: 2026-10-18T20:19:20.997Z
SHA-256 of the archived text: a5687d6af4c750e2a00dc79c12536bf80c7e5fc2a04ff0623cca912aabed42a7
Stable URL of this page: https://metraipolis.com/documento/dc_3003c9cc5dce

How to cite

Event-Triggered Stabilisation of Desynchronisation in Networked Oscillatory Systems — arXiv:2608.14907 — arXiv (en), https://arxiv.org/abs/2608.14907 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_3003c9cc5dce (Metraipolis archive dc_3003c9cc5dce, sha256 a5687d6af4c750e2a00dc79c12536bf80c7e5fc2a04ff0623cca912aabed42a7)

BibTeX

@misc{dc3003c9cc5dce,
  title = {Event-Triggered Stabilisation of Desynchronisation in Networked Oscillatory Systems — arXiv:2608.14907},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.14907},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_3003c9cc5dce; sha256 a5687d6af4c750e2a00dc79c12536bf80c7e5fc2a04ff0623cca912aabed42a7},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.14907. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Pathological neuronal synchrony provides one practical motivation for studying sparse desynchronisation control in networked oscillatory systems, particularly in applications where actuation and communication are resource constrained, as in deep brain stimulation. Motivated by this challenge, we study how to stabilise desynchronisation in coupled oscillatory dynamical systems without continuously updated control, even when the oscillators' phase is unavailable. We develop a general event-triggered control framework for stabilising the desynchronised state of coupled limit-cycle oscillatory dynamical systems. Our analysis establishes a unified theoretical result showing that desynchronisation can be achieved by various feedback controllers that act sparsely and depend only on an order parameter observable. The proposed controllers admit a gradient-descent interpretation and stabilise the desynchronisation state of general phase-reduced oscillator networks. We further prove the controlled systems under event-triggered mechanisms possess a strictly positive lower bound of the inter-event dwell-time, excluding Zeno behaviour. To address the practical unavailability of exact phase reductions, we introduce a pseudo-phase construction that yields a computable order parameter from state measurements alone. Numerical studies on representative oscillator networks demonstrate the effectiveness and robustness of the proposed framework.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-08-18 in math.OC).
Categorie arXiv: Dynamical Systems (math.DS) ; Optimization and Control (math.OC).
Pagina del lavoro: https://arxiv.org/abs/2608.14907 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-18T19:45:07.861Z dalla pagina https://arxiv.org/catchup/math.OC/2026-08-18?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).