Proceedings of the Royal Society A-Mathematical Physical and Engineeri

Article	Citations
Huygens's clocks	308
Sparse identification of nonlinear dynamics for model predictive control in the low-data limit	167
Quasi–static studies of the deformation and failure ofβ–HMX based polymer bonded explosives	110
Storyline approach to the construction of regional climate change information	82
Quantum Shannon theory with superpositions of trajectories	51
An experimental correlation of turbulent burning velocities for premixed turbulent methane-air combustion	51
On fibre dispersion modelling of soft biological tissues: a review	45
Quantifying magic for multi-qubit operations	42
Interplay between cost and effectiveness in influenza vaccine uptake: a vaccination game approach	37
Terminal fall velocity: the legacy of Stokes from the perspective of fluvial hydraulics	37
Synergistic third-party rewarding and punishment in the public goods game	36
Towards a methodology for testing models as hypotheses in the inexact sciences	36
Model selection for hybrid dynamical systems via sparse regression	35
Study of 40-atom Pt–Au clusters using a combined empirical potential-density functional approach	33
Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy	33
Control of chaotic systems by deep reinforcement learning	32
Assessment of protection system positioning and models using observations of lightning strikes to structures	32
Stratified flow over topography: bifurcation fronts and transition to the uncontrolled state	32
The controlled synthesis of complex hollow nanostructures and prospective applications	31
On the role of localizations in buckling of axially compressed cylinders	31
Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model	30
Solar geoengineering to reduce climate change: a review of governance proposals	30
Koopman wavefunctions and classical–quantum correlation dynamics	30
Modelling and analysing the coexistence of dual dilemmas in the proactive vaccination game and retroactive treatment game in epidemic viral dynamics	29
Theoretical framework for higher-order quantum theory	29

Modelling and testing of a wave energy converter based on dielectric elastomer generators	29
Geometric auxetics	27
A substrate-independent framework to characterize reservoir computers	25
A review of the mechanism by which exploding bridge-wire detonators function	24
General rogue wave solutions of the coupled Fokas–Lenells equations and non-recursive Darboux transformation	23
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures	23
General expressions for energy–release rates for delamination in composite laminates	21
Design of quasibrittle materials and structures to optimize strength and scaling at probability tail: an apercu	21
Curvature, metric and parametrization of origami tessellations: theory and application to the eggbox pattern	21
Investigations of ferroelectric polycrystalline bulks and thick films using piezoresponse force microscopy	20
Non-equilibrium turbulence scalings and self-similarity in turbulent planar jets	20
A one-dimensional individual-based mechanical model of cell movement in heterogeneous tissues and its coarse-grained approximation	19
Dyakonov–Voigt surface waves	18
Satellite conjunction analysis and the false confidence theorem	18
Multi-scale analysis for concentration distribution in an oscillatory Couette flow	17
Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation	16
Theory of the flow-induced deformation of shallow compliant microchannels with thick walls	16
Sex-dependent differences in central artery haemodynamics in normal and fibulin-5 deficient mice: implications for ageing	16
Trapping of water waves by pairs of submerged cylinders	15
A fully coupled subwavelength resonance approach to filtering auditory signals	15
Transverse motion instability of a submerged moored buoy	15
Anisotropic bidispersive convection	15
An asymptotic hyperbolic–elliptic model for flexural-seismic metasurfaces	15
On the reversible extraction of classical information from a quantum source	14
Revisiting the simulation of quantum Turing machines by quantum circuits	14
The unified transform for mixed boundary condition problems in unbounded domains	14
Formal structure of periodic system of elements	14
Silicon isotopes in Arctic and sub-Arctic glacial meltwaters: the role of subglacial weathering in the silicon cycle	14
An efficient numerical approach for simulating contact in origami assemblages	14
Bed particle saltation in turbulent wall-shear flow: a review	14
Kinetics of surface growth with coupled diffusion and the emergence of a universal growth path	13
Horizontally isotropic double porosity convection	13
Dynamics of droplet impingement on bioinspired surface: insights into spreading, anomalous stickiness and break-up	13
Surface wave scattering by submerged cylinders of arbitrary cross–section	12
Derivation of delay equation climate models using the Mori-Zwanzig formalism	12
Dispersion and topological characteristics of permutative polyatomic phononic crystals	12
A new classification for thermal development of fluid flow in a circular tube under laminar forced convection	12
TheN-flagella problem: elastohydrodynamic motility transition of multi-flagellated bacteria	12
Quantum advantage of unitary Clifford circuits with magic state inputs	12
Thermodynamics of heating	12
Gevrey asymptotics and Stieltjes transforms of algebraically decaying functions	12
A proof that multiple waves propagate in ensemble-averaged particulate materials	12
Interplay of electro-thermo-solutal advection and internal electrohydrodynamics governed enhanced evaporation of droplets	12
A new Rayleigh-like wave in guided propagation of antiplane waves in couple stress materials	11
A rational framework for dynamic homogenization at finite wavelengths and frequencies	10
Hard-particle rotation enabled soft–hard integrated auxetic mechanical metamaterials	10
Laboratory investigation of crest height statistics in intermediate water depths	10
Omnidirectional flexural invisibility of multiple interacting voids in vibrating elastic plates	10
Inclined convection in a porous Brinkman layer: linear instability and nonlinear stability	10
Time as a consequence of internal coherence	10

Enhancing synchrony in multiplex network due to rewiring frequency	10
Formulation of the Reynolds equation on a time-dependent lubrication surface	10
Lubrication model of suspension flow in a hydraulic fracture with frictional rheology for shear-induced migration and jamming	10
Two-point wavepacket modelling of jet noise	10
Classifying and analysis of random composites using structural sums feature vector	10
Union bound for quantum information processing	10