Clay weekly context brief for the Nonlinear Sciences category (ISO week 2026-W31).

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. Finite Formation Time Antenna Radiation: Color Spectators Break Single-Emitter BDMPS-Z
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2607.22502
   We compute the direct contribution to the squared matrix element for the in-medium soft gluon emission off a color-singlet quark-antiquark pair.
2. On the alleged chaos in periodically forced traveling-wave reductions of fractional WBBM models: a quantitative re-examination
   Source: nlin.CD (Chaotic Dynamics)
   Link: https://arxiv.org/abs/2607.22475
   A large literature applies a standard pipeline to fractional nonlinear evolution equations -- traveling-wave reduction to a planar Hamiltonian system, addition of periodic forcing, and visual inspection of phase portraits -- to claim bifurcations, quasi-periodicity, and chaos, often without any quantitative diagnostic.
3. Nuclear incompressibility and fourth moment of the nuclear density in Skyrme functionals
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2607.22003
   Recent experimental advances could soon allow the accurate extraction of not only the root-mean-square radius but also the fourth radial moment of the nuclear electric charge density distribution.
4. Norm of resonance states in quantum scattering and electromagnetic systems
   Source: nlin.CD (Chaotic Dynamics)
   Link: https://arxiv.org/abs/2607.22052
   Resonance states spatially diverge and are thus not square integrable.
5. Phaseless auxiliary-field quantum Monte Carlo in the Hartree-Fock-Bogoliubov manifold
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2607.21929
   We formulate and implement the phaseless auxiliary-field quantum Monte Carlo (AFQMC) method in the Hartree-Fock-Bogoliubov (HFB) manifold for systems with strong pairing correlations.

Sources in this brief: nlin.CD (Chaotic Dynamics); nucl-th (Nuclear Theory).
Selected 5 of 6 available items for this weekly brief.