Clay weekly context brief for the Nonlinear Sciences category (ISO week 2026-W33).

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. Equation-Free Period-Aware Forecast-Error Contraction for Estimating Negative Largest Lyapunov Exponents from Short Trajectory Ensembles
   Source: nlin.CD (Chaotic Dynamics)
   Link: https://arxiv.org/abs/2608.05522
   Estimating positive largest Lyapunov exponents from data is comparatively natural because neighboring trajectories separate, whereas stable dynamics require resolving contraction before measurement noise or finite precision erases the signal.
2. Noise-driven pseudovorticity multipoles in self-focusing beams with quintic saturation
   Source: nlin.PS (Pattern Formation and Solitons)
   Link: https://arxiv.org/abs/2608.06045
   We investigate pseudovorticity generation in Gaussian beams undergoing self-focusing under amplitude and phase noise, using the cubic-quintic nonlinear Schr\"odinger equation.
3. Quark matter at finite temperature and proto-quark stars with the axion effects in SU(3) Nambu-Jona-Lasinio model
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2608.06024
   We investigate the thermodynamical properties of strange quark matter (SQM) and proto-quark stars (PQSs) within the SU(3) Nambu-Jona-Lasinio (NJL) model at finite temperature, specifically incorporating the effects of axion fields and vector interactions.
4. Determining Critical Temperature Differences of Low-Temperature-Differential Stirling Engines: Nonlinear Dynamics Approach
   Source: nlin.AO (Adaptation and Self-Organizing Systems)
   Link: https://arxiv.org/abs/2607.26539
   While the low-temperature-differential (LTD) Stirling engines are innovative engines that can operate with low temperature differentials in our daily life, the problem of determining the critical temperature differences below which the engine ceases to rotate remains unexplored.
5. Painlev\'e Integrability, Auto-B\"acklund Transformation and the exact solutions of (1+2) Kudryashov-Sinelshchikov (KS) equation
   Source: nlin.SI (Exactly Solvable and Integrable Systems)
   Link: https://arxiv.org/abs/2608.03455
   In this research work, we consider a nonlinear fourth-order (1+2)-dimensional Kudryashov-Sinelshchikov (KS) equation which represents the wave propagation of pressures in liquids that contain gas bubbles.
6. Statistical and non-statistical $\gamma$-decay properties of $^{64}$Zn
   Source: nucl-ex (Nuclear Experiment)
   Link: https://arxiv.org/abs/2608.03943
   We present a study on the $\gamma$-decay properties of $^{64}$Zn using the Oslo method on $^{64}$Zn($p,p^\prime \gamma$) data combined with $^{64}$Zn$(\gamma,n)$ cross-section measurements at the NewSUBARU facility.
7. Scientific Machine Learning of Chaotic Systems Learns Reduced-Order Equations for Neural Populations
   Source: nlin.CD (Chaotic Dynamics)
   Link: https://arxiv.org/abs/2507.03631
   Extracting interpretable mathematical models from complex dynamical systems is difficult, especially for chaotic dynamics observed with noisy experimental data.
8. Higher-Order Extensions of Weakly Viscous Dysthe Theory and a Phase-Lag Model for Nonlinear Mean-Flow Damping
   Source: nlin.PS (Pattern Formation and Solitons)
   Link: https://arxiv.org/abs/2608.04473
   We extend the Carter-Govan multiple-scales analysis of weakly viscous, narrowband deep-water wave packets beyond Dysthe order within the potential-flow reduction of Dias, Dyachenko, and Zakharov (DDZ).
9. Benchmarking electromagnetic observables in angular-momentum projected Hartree-Fock
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2608.06281
   We benchmark electromagnetic transitions and moments (electric quadrupole and magnetic dipole) in angular-momentum projected-after-variation Hartree-Fock calculations against full configuration-interaction diagonalization results in a shell model basis.
10. Wavy synchronization in locomotion of train millipedes
   Source: nlin.AO (Adaptation and Self-Organizing Systems)
   Link: https://arxiv.org/abs/2504.04173
   The sophisticated control of many legs by millipedes and centipedes establish well-organized temporal structures such as wavy synchronization in their gate patterns.
11. Collective superintegrable systems from the Guillemin--Sternberg torus action
   Source: nlin.SI (Exactly Solvable and Integrable Systems)
   Link: https://arxiv.org/abs/2608.01878
   We present a novel approach to the superintegrability of collective Hamiltonians invariant under a Hamiltonian action of a connected semisimple compact Lie group, $G$, on a symplectic manifold, $M$.
12. Finite-spectrum Lorentz integral transform calculation of the $^{4}$He photoabsorption cross section in the no-core shell model
   Source: nucl-ex (Nuclear Experiment)
   Link: https://arxiv.org/abs/2608.03686
   We develop and validate a finite-spectrum implementation of the Lorentz integral transform (LIT) within the \textit{ab initio} no-core shell model (NCSM) for calculating the photoabsorption cross section of $^4$He.
13. Laminar gaps mirror turbulent puffs in pipe flow
   Source: nlin.CD (Chaotic Dynamics)
   Link: https://arxiv.org/abs/2608.04823
   Pipe flow at intermediate Reynolds numbers, between the laminar and fully turbulent regimes, takes the form of several spatially and temporally intermittent phases in which turbulent and laminar states coexist.
14. Birth and breakdown of breathing and rotobreathing cyclops states in Kuramoto networks with higher-mode coupling
   Source: nlin.PS (Pattern Formation and Solitons)
   Link: https://arxiv.org/abs/2605.11236
   Cluster synchronization states often serve as organizing centers for collective dynamics, but their destabilization can open unexpected routes to both coherent and incoherent behavior.
15. Three-flavor supernova neutrino simulation using a hybrid quantum-classical algorithm with qutrits
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2605.01099
   We simulate a self-interacting three-flavor neutrino system within a core-collapse supernova using a hybrid classical-quantum algorithm on a qutrit computer.
16. Exact Low-Dimensional Reduction Theory for Populations of Stuart--Landau Oscillators
   Source: nlin.AO (Adaptation and Self-Organizing Systems)
   Link: https://arxiv.org/abs/2608.04000
   This paper develops an exact low-dimensional reduction theory for populations of Stuart-Landau oscillators.
17. Integrable Volterra hierarchies over nonabelian algebras
   Source: nlin.SI (Exactly Solvable and Integrable Systems)
   Link: https://arxiv.org/abs/2607.17868
   Known integrable systems with noncommutative dependent variables are typically formulated over free associative algebras, quantum algebras, or Grassmann algebras.
18. On the Cancellation of Nuclear Effects in the Valence Region
   Source: nucl-ex (Nuclear Experiment)
   Link: https://arxiv.org/abs/2604.23110
   Deep-inelastic $e/\mu$ scattering data on targets ranging from deuterium to lead indicate that nuclear modifications to the structure functions of bound nucleons are minimal in the kinematic region where valence quark distributions peak.
19. Emergent Physical Intelligence in Biomimetic Scale Metabeams
   Source: nlin.CD (Chaotic Dynamics)
   Link: https://arxiv.org/abs/2608.02856
   Physical reservoir computing (PRC) leverages the intrinsic dynamics of physical systems to perform information processing while requiring training only in a linear readout layer.
20. Predictability can be dynamically constructed in deterministic systems
   Source: nlin.PS (Pattern Formation and Solitons)
   Link: https://arxiv.org/abs/2604.01088
   A deterministic system's future can be fixed from the start yet remain unpredictable because of chaos or computational irreducibility.
21. Measuring radii of merging neutron stars with interface-mode asteroseismology informed by nuclear theory and experiment
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2606.09621
   The structure and dynamics of neutron stars can be used to probe the physics of extreme matter at nuclear densities and beyond.
22. Continuous Game of Life: cell emergence and self-organization at the edge of growth
   Source: nlin.AO (Adaptation and Self-Organizing Systems)
   Link: https://arxiv.org/abs/2607.27402
   Conway's Game of Life shows that simple rules can generate a rich diversity of emerging structures.
23. Real-Spectrum Darboux Limits at Multiple Spatial Roots of the Coupled Fokas-Lenells System
   Source: nlin.SI (Exactly Solvable and Integrable Systems)
   Link: https://arxiv.org/abs/2607.17955
   We investigate Darboux constructions generated by multiple spatial roots of the coupled Fokas-Lenells system on a plane-wave background.
24. Nuclear Charge Radii of Sr Isotopes: Reevaluation based on Transition Frequency Measurements in the $5s-5p-4d$ manifold in Sr$^+$
   Source: nucl-ex (Nuclear Experiment)
   Link: https://arxiv.org/abs/2605.04281
   High-precision quasi-simultaneous collinear and anticollinear laser spectroscopy was performed on the $5s\,^2S_{1/2}\rightarrow 5p\,^2P_{1/2}$ (D1), $5s\,^2S_{1/2}\rightarrow 5p\,^2P_{3/2}$ (D2), and three $4d\rightarrow 5p$ transitions in the naturally abundant Sr$^+$ isotopes.
25. Chaos suppression via adaptive feedback control of intermittency: From exactly solvable ergodic maps to interacting microbubble clusters
   Source: nlin.CD (Chaotic Dynamics)
   Link: https://arxiv.org/abs/2608.03754
   Intermittency represents a fundamental route to chaos in nonlinear dynamical systems.
26. Caustics and Superenergy in the Quantum Bouncer
   Source: nlin.PS (Pattern Formation and Solitons)
   Link: https://arxiv.org/abs/2608.02427
   We investigate the quantum interference and energetic phenomena associated with classical caustics in the quantum bouncing ball problem, we refer to as quantum caustics.
27. Predominant Nuclear Excitation by Electron Capture Driven by Beam-Induced Return Currents
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2608.02998
   Predicted nearly five decades ago, nuclear excitation by electron capture (NEEC) remains experimentally elusive because its weak resonant signal is obscured by competing electron-driven excitation channels.
28. Targeted Quarantine Strategies Mitigate SIS-model Cyber Epidemics on Complex Networks
   Source: nlin.AO (Adaptation and Self-Organizing Systems)
   Link: https://arxiv.org/abs/2607.27624
   The rapid expansion of highly connected and heterogeneous digital infrastructures has fundamentally altered the dynamics of cyber epidemics, making it increasingly important to understand how malware propagates under realistic structural and policy conditions.
29. Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown
   Source: nlin.SI (Exactly Solvable and Integrable Systems)
   Link: https://arxiv.org/abs/2601.06416
   We investigate the integrability of spinning compact body dynamics at quadratic order in spin in four-dimensional Einstein spacetimes admitting a non-degenerate Killing--Yano tensor.
30. $S$-wave kaon-nucleon interactions from lattice QCD at the physical point
   Source: nucl-ex (Nuclear Experiment)
   Link: https://arxiv.org/abs/2509.00838
   We investigate S-wave kaon-nucleon ($KN$) interactions with strangeness $S=+1$ in lattice QCD using the time-dependent HAL QCD method.
31. Transition to spatiotemporal chaos with multiple colliding pulse sequences of the nonlinear Schr\"odinger equation
   Source: nlin.CD (Chaotic Dynamics)
   Link: https://arxiv.org/abs/2608.02783
   We present the first demonstration of transition to spatiotemporal chaos with multiple colliding pulse sequences in systems described by perturbed cubic nonlinear Schr\"odinger (NLS) equations.
32. Deformation algorithm: Deforming (2+1)-dimensional integrable systems to higher dimensional ones
   Source: nlin.PS (Pattern Formation and Solitons)
   Link: https://arxiv.org/abs/2608.01293
   The deformation algorithm based on conservation laws can lift (1+1)-dimensional integrable systems to higher-dimensional counterparts while preserving Lax integrability, yet its generalization to (2+1)-dimensional models has remained an open problem.
33. Does strange meson condensation reduce the moment of inertia of massive proto neutron stars? insights at S = 1 and YL = 0.4
   Source: nucl-th (Nuclear Theory)
   Link: https://arxiv.org/abs/2608.03022
   We investigate the effects of strange mesons (sigma-star and phi) on the structural and rotational properties of massive proto neutron stars (PNSs) within the relativistic mean-field (RMF) framework.
34. Breathing chimera states from purely triadic interactions
   Source: nlin.AO (Adaptation and Self-Organizing Systems)
   Link: https://arxiv.org/abs/2607.28017
   Chimera states, characterized by the coexistence of synchronized and desynchronized dynamics in identical oscillators, are typically studied in systems with pairwise interactions.

Sources in this brief: nlin.AO (Adaptation and Self-Organizing Systems); nlin.CD (Chaotic Dynamics); nlin.PS (Pattern Formation and Solitons); nlin.SI (Exactly Solvable and Integrable Systems); nucl-ex (Nuclear Experiment); nucl-th (Nuclear Theory).
Selected 34 of 485 available items for this weekly brief.