Clay weekly context brief for the Nonlinear Sciences category (ISO week 2026-W42). 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. If the brain were so simple: Information-based drivers of intelligence and their interaction through an n-body-inspired framework Source: nlin.AO (Adaptation and Self-Organizing Systems) Link: https://arxiv.org/abs/2610.11142 Theories of how the brain processes information and returns intelligent outputs are numerous and often difficult to conclusively test. 2. Efficient computation of statistical properties of intermittent dynamics Source: nlin.CD (Chaotic Dynamics) Link: https://arxiv.org/abs/2106.01498 Intermittent maps of the interval are simple and widely-studied models for chaos with slow mixing rates, but have been notoriously resistant to numerical study. 3. A theory for detecting the Turing instability on static and temporal multiplex networks Source: nlin.PS (Pattern Formation and Solitons) Link: https://arxiv.org/abs/2610.10938 The purpose of this work is to introduce and discuss a general framework for performing a linear instability analysis on multiplex networks, in the absence of inter-layer diffusion, with the specific motivation of detecting the Turing instability. 4. Measurement of $J/\psi$-jet correlations in $pp$ and Pb+Pb collisions at $\sqrt{s_{\text{NN}}}=5.02$ TeV with the ATLAS detector Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2606.31375 Yields of charmonia, bound states of $c\bar{c}$ quarks, are observed to be strongly suppressed in heavy-ion collisions relative to proton-proton collisions as a result of their interaction with the quark-gluon plasma produced in such collisions. 5. $\boldsymbol{\textit{Ab initio}}$ $n\alpha$ scattering using the Efros method Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2610.11046 We present the first $\textit{ab initio}$ many-body application of the Efros method for scattering utilizing the harmonic oscillator expansion of the continuum wave function. 6. Local decoders for fault-tolerant quantum computation and translation-invariant stabilizer codes Source: nlin.CG (Cellular Automata and Lattice Gases) Link: https://arxiv.org/abs/2609.11457 We construct the first fully spatially local fault-tolerant quantum computer based on topological codes in fewer than four spatial dimensions. 7. Analytic approach to boundary integrability with application to mixed-flux $AdS_3 \times S^3$ Source: nlin.SI (Exactly Solvable and Integrable Systems) Link: https://arxiv.org/abs/2601.09935 Boundary integrability provides rare analytic control over field theories with interfaces, from quantum impurity problems to open string dynamics. 8. A repeating sequence of simple rules creates a universal computer Source: nlin.AO (Adaptation and Self-Organizing Systems) Link: https://arxiv.org/abs/2610.09879 We show that the Turing complete rule 110 in elementary cellular automata can be emulated by alternating three simple symmetric rules in space. 9. Propagating fronts of convection rolls in Rayleigh-B\'enard convection Source: nlin.CD (Chaotic Dynamics) Link: https://arxiv.org/abs/2608.21728 We investigate the propagation of counter-rotating convection rolls in Rayleigh-B\'enard convection initiated locally in a quiescent fluid layer under supercritical conditions. 10. Impact of Stimulated Brillouin Scattering on Modulation Instability in Fiber Fabry-Perot Resonators Source: nlin.PS (Pattern Formation and Solitons) Link: https://arxiv.org/abs/2610.11413 We report the experimental and numerical demonstration of stimulated Brillouin scattering-induced stabilization of Kerr-driven modulation instability in fiber Fabry--Perot resonators. 11. Bosonic Contribution to Parity-Violating M{\o}ller Scattering at NNLO Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2610.12287 We calculate the dominant bosonic two-loop virtual electroweak corrections to parity-violating M{\o}ller scattering at low energies. 12. Production Memory of the $^{225}\mathrm{Ra}$-$^{225}\mathrm{Ac}$ Clock in Neutron-Star Merger Ejecta Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2610.11095 Radioactive nuclei in neutron-star merger ejecta carry information about both their abundance and their production history. 13. Reasoning with Neural Cellular Automata Source: nlin.CG (Cellular Automata and Lattice Gases) Link: https://arxiv.org/abs/2609.36126 Modern AI architectures used to solve visual reasoning tasks typically rely heavily on global connectivity and synchronization. 14. A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction Source: nlin.SI (Exactly Solvable and Integrable Systems) Link: https://arxiv.org/abs/2610.02927 An extension with temporal modulation is presented of the canonical 2 + 1-dimensional solitonic Dym equation as originally introduced by Konopelchenko and Dubrovsky. 15. Fast-variable reduction to complex contagion unifies epidemic models Source: nlin.AO (Adaptation and Self-Organizing Systems) Link: https://arxiv.org/abs/2610.05467 Across biological and social complex systems, models of epidemics or contagions incorporate complexity through network correlations, adaptive behavior, higher-order interactions, or co-circulating strains. 16. Understanding Latent-Dimension Scaling in Dynamical-System Learning through Spectral Reliability Source: nlin.CD (Chaotic Dynamics) Link: https://arxiv.org/abs/2610.11866 In deep learning, approximation theory motivates increasing representation size. 17. Accurate simulation of pulled and pushed fronts in the nonautonomous Fisher-Kolomogorov-Piskunov-Petrovsky equation Source: nlin.PS (Pattern Formation and Solitons) Link: https://arxiv.org/abs/2602.10475 We introduce a novel numerical method for direct simulation of front propagation in the Fisher-KPP equation with a time-dependent parameter on an infinite domain. 18. KATRIN experiment Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2601.00248 Since the discovery of neutrino oscillations, it is known that neutrinos have small but non-zero masses. 19. The effect of the coupling between the neutron multiplicity and the fission competition on the evaporation residue cross sections of the $^{48}$Ca$+^{244}$Pu Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2610.11311 The survival probability $W_{\rm sur}$ of an excited compound nucleus against fission is a key factor determining the evaporation-residue cross section in the synthesis of superheavy nuclei. 20. Diagonal Bases and Diagonal Periods of Elementary Cellular Automata Source: nlin.CG (Cellular Automata and Lattice Gases) Link: https://arxiv.org/abs/2609.25078 Which cellular-automaton diagonal families form bases in every finite window? 21. Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain Source: nlin.SI (Exactly Solvable and Integrable Systems) Link: https://arxiv.org/abs/2610.03349 We consider the interaction-round-a-face version of the nineteen-vertex model and derive a new quantum spin-$1$ chain. 22. Studying oscillation death in two-dimensional cylinder-airfoil interactions with synchronization-theoretic autoencoder Source: nlin.AO (Adaptation and Self-Organizing Systems) Link: https://arxiv.org/abs/2610.05762 Body-body interactions have long been investigated to leverage the performance of various fluid-based machines. 23. Do Neural PDE Solvers Learn the Right Dynamics? Source: nlin.CD (Chaotic Dynamics) Link: https://arxiv.org/abs/2610.06952 Neural PDE solvers can achieve low prediction errors, but do they reproduce the dynamics of the systems they model? 24. Observation of Discrete 1D Solitons in an Optically Induced Lattice in Rubidium Atomic Vapor Source: nlin.PS (Pattern Formation and Solitons) Link: https://arxiv.org/abs/2604.11493 The manipulation of light in periodic structures is fundamental to the development of discrete photonics and provides a versatile platform for controlling light propagation in integrated and quantum photonic systems. 25. A Differentiable Surrogate for Loss-Dominated Ion Beam Transport Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2610.08877 Radioactive nuclei with extreme proton-to-neutron ratios provide unique probes of nuclear structure, fundamental symmetries, astrophysical processes, and applications such as medicine. 26. Physics-informed interpretable forms for dipole resonances and quantities relevant for astrophysics Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2610.11630 We have employed Bayesian inference to extract the centroid energies and widths from the isovector giant dipole resonance (IVGDR) data for the IVGDR built on the ground states of nuclei.These IVGDR properties were modeled by explicitly incorporating the structural effects like isospin asymmetry, nuclear deformation and shell correction. 27. Dimension-dependent continuum limits in tissue mechanics Source: nlin.CG (Cellular Automata and Lattice Gases) Link: https://arxiv.org/abs/2607.07000 Continuum descriptions of epithelial tissue mechanics can replace expensive individual-based simulations with tractable macroscopic models, yet the link between cell-scale forces and tissue-scale transport remains poorly understood. 28. On the Cauchy Problem for the Sawada-Kotera Equation: Soliton resolution conjecture, Painlev\'e transcendents and asymptotic stability Source: nlin.SI (Exactly Solvable and Integrable Systems) Link: https://arxiv.org/abs/2610.03097 We derive long-time asymptotics in different space-time regions for the Sawada-Kotera (SK) equation with admissible data involving continuous spectrum and finite discrete spectrum. 29. Hidden Higher-Order Vulnerabilities in Simplicial Complexes Revealed by Branch-Consistent Functional Robustness Source: nlin.AO (Adaptation and Self-Organizing Systems) Link: https://arxiv.org/abs/2603.24286 Robustness of higher-order networks is often quantified by the instantaneous smallest positive eigenvalue of the Hodge $1$-Laplacian under simplex deletion. 30. Heterogeneity-induced chaos in globally coupled Stuart--Landau oscillators Source: nlin.CD (Chaotic Dynamics) Link: https://arxiv.org/abs/2610.08239 We show that linear-growth-rate heterogeneity combined with complex global coupling can generate quasiperiodicity and chaos in a finite population of Stuart-Landau oscillators with identical natural frequencies and no Kerr-type nonlinear frequency shift. 31. Whitham modulation theory for the Davey-Stewartson system and stability analysis of its periodic traveling wave solutions Source: nlin.PS (Pattern Formation and Solitons) Link: https://arxiv.org/abs/2610.06403 The Davey-Stewartson (DS) system is a canonical model for a weakly nonlinear wave packet in two spatial dimensions that is resonantly coupled to the slowly varying mean flow it generates, and as such it governs modulated wave trains in settings as different as finite-depth water waves, quadratic optical media and magnetic films. 32. Novel chiral-wobbling excitation mode in atomic nuclei Source: nucl-ex (Nuclear Experiment) Link: https://arxiv.org/abs/2610.09808 The properties of high-spin band structures in $^{74}$Br nucleus are investigated using the triaxial projected shell model (TPSM) and particle triaxial rotor (PTR) approaches. 33. Active-learning construction of hyperspherical-harmonics spaces for A = 3 Source: nucl-th (Nuclear Theory) Link: https://arxiv.org/abs/2610.11933 The hyperspherical-harmonics (HH) expansion does not require uniform resolution: different components of the wave function converge at very different hyperangular and hyperradial scales. Sources in this brief: nlin.AO (Adaptation and Self-Organizing Systems); nlin.CD (Chaotic Dynamics); nlin.CG (Cellular Automata and Lattice Gases); nlin.PS (Pattern Formation and Solitons); nlin.SI (Exactly Solvable and Integrable Systems); nucl-ex (Nuclear Experiment); nucl-th (Nuclear Theory). Selected 33 of 467 available items for this weekly brief.