Emergent Multiscale Dynamics in Photonic Neurons with Dual Feedback

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This paper studies emergent multiscale dynamics in the time-series output of a photonic neuron that incorporates dual feedback, focusing on how fast events and slow events interact through feedback across temporal scales. Using analyses of inter-peak intervals and ordinal analysis, the author reports that fast peaks and slow spikes cooperatively generate rich multiscale behavior, and that dual feedback enhances determinism while stabilizing temporal correlations across multiple scales. A major stated caveat is that the work is a preprint/non–peer reviewed manuscript version on Research Square (peer review status pending at the time of posting), despite later journal publication being referenced. This paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract Complex dynamical systems are inherently governed by multiscale dynamics, where processes on different temporal, spatial, and intensity scales interact through feedback mechanisms. The coupling between fast and slow dynamics often leads to nontrivial emergent behaviour, making a multiscale approach essential for understanding and modeling such systems. In particular, the mutual influence between fast and slow processes — where fast dynamics can modulate slow evolution, and slow dynamics can shape the conditions for fast processes — plays a key role, especially when coarse-graining across scales to capture the system’s effective behaviour. Here, I study the dynamics of fast and slow events in the time series of a photonic neuron with dual feedback. Analysis of inter-peak intervals and ordinal analysis unveils rich multiscale interactions, where fast peaks and slow spikes cooperatively generate emergent behaviour. I also find how dual feedback enhances determinism and stabilizes temporal correlations across multiple scales. These findings demonstrate how multiscale interaction can generate complex, emergent behaviour in controllable photonic systems, with implications for understanding other complex dynamical systems.
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Emergent Multiscale Dynamics in Photonic Neurons with Dual Feedback | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Emergent Multiscale Dynamics in Photonic Neurons with Dual Feedback Andres Aragoneses This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7579316/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 29 Nov, 2025 Read the published version in Scientific Reports → Version 1 posted 12 You are reading this latest preprint version Abstract Complex dynamical systems are inherently governed by multiscale dynamics, where processes on different temporal, spatial, and intensity scales interact through feedback mechanisms. The coupling between fast and slow dynamics often leads to nontrivial emergent behaviour, making a multiscale approach essential for understanding and modeling such systems. In particular, the mutual influence between fast and slow processes — where fast dynamics can modulate slow evolution, and slow dynamics can shape the conditions for fast processes — plays a key role, especially when coarse-graining across scales to capture the system’s effective behaviour. Here, I study the dynamics of fast and slow events in the time series of a photonic neuron with dual feedback. Analysis of inter-peak intervals and ordinal analysis unveils rich multiscale interactions, where fast peaks and slow spikes cooperatively generate emergent behaviour. I also find how dual feedback enhances determinism and stabilizes temporal correlations across multiple scales. These findings demonstrate how multiscale interaction can generate complex, emergent behaviour in controllable photonic systems, with implications for understanding other complex dynamical systems. Physical sciences/Mathematics and computing Physical sciences/Physics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 29 Nov, 2025 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 06 Oct, 2025 Reviews received at journal 06 Oct, 2025 Reviews received at journal 04 Oct, 2025 Reviews received at journal 01 Oct, 2025 Reviewers agreed at journal 23 Sep, 2025 Reviewers agreed at journal 22 Sep, 2025 Reviewers agreed at journal 21 Sep, 2025 Reviewers invited by journal 21 Sep, 2025 Editor assigned by journal 17 Sep, 2025 Editor invited by journal 17 Sep, 2025 Submission checks completed at journal 11 Sep, 2025 First submitted to journal 11 Sep, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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