Clay weekly context brief for the Nonlinear Sciences category (ISO week 2026-W28).

Clay tracks publications from the Nonlinear Sciences feed list. Below are recent items from this category, each with its source and a short description of what the publication covers when one is available in the source feed.

Recent publications:
1. The Generalization Gap in Machine Learning EoS Inference from Core-Collapse Supernova Gravitational Waves
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2607.06736
   Core-collapse supernova gravitational waves may carry information about the dense matter equation of state (EoS), which describes the relation between pressure, density, temperature, and composition.
2. Manifold-adapted radial basis functions for reduced-order modelling of chaotic flows
   Source: nlin.CD (Chaotic Dynamics)
   Link: https://arxiv.org/abs/2607.08571
   Chaotic systems often evolve on a low-dimensional attractor whose geometry varies from one region to another.
3. Synchronization modes in bipartite oscillator networks
   Source: nlin.AO (Adaptation and Self-Organizing Systems)
   Link: https://arxiv.org/abs/2606.20345
   Collective oscillations in neuronal systems often arise from interactions between excitatory and inhibitory populations rather than from recurrent coupling within a single ensemble.
4. Non-universality of color transparency onset in pion and kaon electroproduction
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2604.05612
   A combined analysis of the Jefferson Lab data on nuclear transparency in $A(e,e'\pi^+)$ and $A(e,e'K^+)$ shows that the onset of color transparency (CT) is not universal across the meson flavors.
5. Melting of heavy quarkonia in QGP using deep neural networks
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2509.14970
   Machine learning techniques have emerged as powerful tools for tackling non-perturbative challenges in quantum chromodynamics.
6. High-order perturbative calculations of nuclear ground states: Automated evaluation of many-body diagrams
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2607.00119
   We advance the many-body perturbation theory (MBPT) calculations of the ground-state energy and radius of closed-shell nuclei beyond third order.
7. The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2602.00341
   Precision beta decay experiments serve as powerful probes of physics beyond the Standard Model, enabling stringent tests of fundamental symmetries of nature.

Sources in this brief: nlin.AO (Adaptation and Self-Organizing Systems); nlin.CD (Chaotic Dynamics); nucl-th (Nuclear Theory).
Selected 7 of 15 available items for this weekly brief.