{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,20]],"date-time":"2026-06-20T09:51:27Z","timestamp":1781949087729,"version":"3.54.5"},"reference-count":71,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.cnsns.2026.110385","type":"journal-article","created":{"date-parts":[[2026,6,16]],"date-time":"2026-06-16T15:51:35Z","timestamp":1781625095000},"page":"110385","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P3","title":["Efficient numerical simulation of next-generation neural field models with periodic solutions"],"prefix":"10.1016","volume":"162","author":[{"given":"Jianyu","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7765-8201","authenticated-orcid":false,"given":"Yanping","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fangfang","family":"Qin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jian","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.cnsns.2026.110385_bib0001","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1007\/s10339-015-0662-4","article-title":"Donders is dead: cortical traveling waves and the limits of mental chronometry in cognitive neuroscience","volume":"16","author":"Alexander","year":"2015","journal-title":"Cogn Process"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110385_bib0002","doi-asserted-by":"crossref","first-page":"1199","DOI":"10.1152\/jn.1997.78.3.1199","article-title":"Propagating neuronal discharges in neocortical slices: computational and experimental study","volume":"78","author":"Golomb","year":"1997","journal-title":"J Neurophysiol"},{"key":"10.1016\/j.cnsns.2026.110385_bib0003","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1098\/rstb.1956.0012","article-title":"Properties of a mass of cells capable of regenerating pulses","volume":"240","author":"Beurle","year":"1956","journal-title":"Philos Trans R Soc Lond B Biol Sci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0004","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0006-3495(72)86068-5","article-title":"Excitatory and inhibitory interactions in localized populations of model neurons","volume":"12","author":"Wilson","year":"1972","journal-title":"Biophys J"},{"key":"10.1016\/j.cnsns.2026.110385_bib0005","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1007\/BF00288786","article-title":"A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue","volume":"13","author":"Wilson","year":"1973","journal-title":"Kybernetik"},{"key":"10.1016\/j.cnsns.2026.110385_bib0006","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/BF00339367","article-title":"Homogeneous nets of neuron-like elements","volume":"17","author":"Amari","year":"1975","journal-title":"Biol Cybern"},{"key":"10.1016\/j.cnsns.2026.110385_bib0007","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/BF00337259","article-title":"Dynamics of pattern formation in lateral-inhibition type neural fields","volume":"27","author":"Amari","year":"1977","journal-title":"Biol Cybern"},{"key":"10.1016\/j.cnsns.2026.110385_bib0008","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1038\/s41586-022-05293-w","article-title":"Movement is governed by rotational neural dynamics in spinal motor networks","volume":"610","author":"Lind\u00e9n","year":"2022","journal-title":"Nature"},{"key":"10.1016\/j.cnsns.2026.110385_bib0009","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1009342","article-title":"Phase-locking patterns underlying effective communication in exact firing rate models of neural networks","volume":"18","author":"Reyner-Parra","year":"2022","journal-title":"PLoS Comput Biol"},{"key":"10.1016\/j.cnsns.2026.110385_bib0010","doi-asserted-by":"crossref","first-page":"787","DOI":"10.1113\/jphysiol.2012.239590","article-title":"Synchronization and desynchronization in epilepsy: controversies and hypotheses","volume":"591","author":"Jiruska","year":"2013","journal-title":"J Physiol"},{"key":"10.1016\/j.cnsns.2026.110385_bib0011","doi-asserted-by":"crossref","first-page":"7297","DOI":"10.1523\/JNEUROSCI.22-16-07297.2002","article-title":"Decreased neuronal synchronization during experimental seizures","volume":"22","author":"Netoff","year":"2002","journal-title":"J Neurosci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0012","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1038\/nrn2774","article-title":"Abnormal neural oscillations and synchrony in schizophrenia","volume":"11","author":"Uhlhaas","year":"2010","journal-title":"Nat Rev Neurosci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0013","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1007\/s10548-021-00842-4","article-title":"Mean-field models for EEG\/MEG: from oscillations to waves","volume":"35","author":"Byrne","year":"2022","journal-title":"Brain Topogr"},{"key":"10.1016\/j.cnsns.2026.110385_bib0014","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.98.042214","article-title":"Dynamics of a large system of spiking neurons with synaptic delay","volume":"98","author":"Devalle","year":"2018","journal-title":"Phys Rev E"},{"key":"10.1016\/j.cnsns.2026.110385_bib0015","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1162\/0899766053019908","article-title":"Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons","volume":"17","author":"B\u00f6rgers","year":"2005","journal-title":"Neural Comput"},{"key":"10.1016\/j.cnsns.2026.110385_bib0016","doi-asserted-by":"crossref","DOI":"10.1063\/1.5135579","article-title":"Bumps and oscillons in networks of spiking neurons","volume":"30","author":"Schmidt","year":"2020","journal-title":"Chaos Interdiscip J Nonlinear Sci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0017","article-title":"Transition from asynchronous to oscillatory dynamics in balanced spiking networks with instantaneous synapses","volume":"121","author":"Volo","year":"2018","journal-title":"Phys Rev Lett"},{"key":"10.1016\/j.cnsns.2026.110385_bib0018","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.94.032215","article-title":"Macroscopic self-oscillations and aging transition in a network of synaptically coupled quadratic integrate-and-fire neurons","volume":"94","author":"Ratas","year":"2016","journal-title":"Phys Rev E"},{"key":"10.1016\/j.cnsns.2026.110385_bib0019","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1137\/0146017","article-title":"Parabolic bursting in an excitable system coupled with a slow oscillation","volume":"46","author":"Ermentrout","year":"1986","journal-title":"SIAM J Appl Math"},{"key":"10.1016\/j.cnsns.2026.110385_bib0020","doi-asserted-by":"crossref","first-page":"4278","DOI":"10.1103\/PhysRevLett.86.4278","article-title":"Phase diagram for the Winfree model of coupled nonlinear oscillators","volume":"86","author":"Ariaratnam","year":"2001","journal-title":"Phys Rev Lett"},{"issue":"2","key":"10.1016\/j.cnsns.2026.110385_bib0021","doi-asserted-by":"crossref","first-page":"808","DOI":"10.1152\/jn.2000.83.2.808","article-title":"Intrinsic dynamics in neuronal networks. T. theory","volume":"83","author":"Latham","year":"2000","journal-title":"J Neurophysiol"},{"key":"10.1016\/j.cnsns.2026.110385_bib0022","article-title":"Low dimensional behavior of large systems of globally coupled oscillators","volume":"18","author":"Ott","year":"2008","journal-title":"Chaos Interdiscip J Nonlinear Sci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0023","doi-asserted-by":"crossref","DOI":"10.1063\/1.3136851","article-title":"Long time evolution of phase oscillator systems","volume":"19","author":"Ott","year":"2009","journal-title":"Chaos Interdiscip J Nonlinear Sci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0024","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1137\/S0036139901389495","article-title":"Multiple bumps in a neuronal model of working memory","volume":"63","author":"Laing","year":"2002","journal-title":"SIAM J Appl Math"},{"key":"10.1016\/j.cnsns.2026.110385_bib0025","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1137\/120877106","article-title":"Wandering bumps in stochastic neural fields","volume":"12","author":"Kilpatrick","year":"2013","journal-title":"SIAM J Appl Dyn Syst"},{"key":"10.1016\/j.cnsns.2026.110385_bib0026","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1098\/rstb.2000.0769","article-title":"Geometric visual hallucinations, euclidean symmetry and the functional architecture of striate cortex","volume":"365","author":"Bressloff","year":"2001","journal-title":"Philos Trans R Soc Lond B Biol Sci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0027","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF00336965","article-title":"A mathematical theory of visual hallucination patterns","volume":"34","author":"Ermentrout","year":"1979","journal-title":"Biol Cybern"},{"key":"10.1016\/j.cnsns.2026.110385_bib0028","doi-asserted-by":"crossref","first-page":"907","DOI":"10.1038\/35091066","article-title":"Dynamics of travelling waves in visual perception","volume":"412","author":"Wilson","year":"2001","journal-title":"Nature"},{"key":"10.1016\/j.cnsns.2026.110385_bib0029","doi-asserted-by":"crossref","first-page":"1056","DOI":"10.1038\/s41467-019-08999-0","article-title":"Metastable brain waves","volume":"10","author":"Roberts","year":"2019","journal-title":"Nat Commun"},{"key":"10.1016\/j.cnsns.2026.110385_bib0030","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/s13408-015-0019-4","article-title":"Modeling focal epileptic activity in the Wilson\u2013Cowan model with depolarization block","volume":"5","author":"Meijer","year":"2015","journal-title":"J Math Neurosci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0031","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.77.061911","article-title":"From baseline to epileptiform activity: a path to synchronized rhythmicity in large-scale neural networks","volume":"77","author":"Shusterman","year":"2008","journal-title":"Phys Rev E\u2014Stat Nonlinear Soft Matter Phys"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110385_bib0032","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1037\/0033-295X.109.3.545","article-title":"Dynamic field theory of movement preparation","volume":"109","author":"Erlhagen","year":"2002","journal-title":"Psychol Rev"},{"key":"10.1016\/j.cnsns.2026.110385_bib0033","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pone.0102591","article-title":"A canonical circuit for generating phase-amplitude coupling","volume":"9","author":"Onslow","year":"2014","journal-title":"PLoS ONE"},{"key":"10.1016\/j.cnsns.2026.110385_bib0034","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1004740","article-title":"Cortical resonance frequencies emerge from network size and connectivity","volume":"12","author":"Lea-Carnall","year":"2016","journal-title":"PLoS Comput Biol"},{"key":"10.1016\/j.cnsns.2026.110385_bib0035","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1016\/j.physd.2010.01.010","article-title":"Some theoretical and numerical results for delayed neural field equations","volume":"239","author":"Faye","year":"2010","journal-title":"Phys D Nonlinear Phenom"},{"key":"10.1016\/j.cnsns.2026.110385_bib0036","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.82.055701","article-title":"Activity spread and breathers induced by finite transmission speeds in two-dimensional neural fields","volume":"82","author":"Hutt","year":"2010","journal-title":"Phys Rev E\u2014Stat Nonlinear Soft Matter Phys"},{"key":"10.1016\/j.cnsns.2026.110385_bib0037","series-title":"Numerical simulation scheme of one-and two dimensional neural fields involving space-dependent delays","first-page":"175","author":"Hutt","year":"2014"},{"key":"10.1016\/j.cnsns.2026.110385_bib0038","doi-asserted-by":"crossref","first-page":"B962","DOI":"10.1137\/15M1022562","article-title":"Numerical solution of the neural field equation in the two-dimensional case","volume":"37","author":"Lima","year":"2015","journal-title":"SIAM J Sci Comput"},{"key":"10.1016\/j.cnsns.2026.110385_bib0039","doi-asserted-by":"crossref","first-page":"25","DOI":"10.3389\/fninf.2015.00025","article-title":"Neural field simulator: two-dimensional spatio-temporal dynamics involving finite transmission speed","volume":"9","author":"Nichols","year":"2015","journal-title":"Front Neuroinformatics"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110385_bib0040","doi-asserted-by":"crossref","first-page":"B797","DOI":"10.1137\/16M1085024","article-title":"A space-time finite element method for neural field equations with transmission delays","volume":"39","author":"Polner","year":"2017","journal-title":"SIAM J Sci Comput"},{"key":"10.1016\/j.cnsns.2026.110385_bib0041","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/s10827-020-00742-9","article-title":"A computational model for grid maps in neural populations","volume":"48","author":"Anselmi","year":"2020","journal-title":"J Comput Neurosci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0042","doi-asserted-by":"crossref","first-page":"184","DOI":"10.11121\/ijocta.2022.1219","article-title":"A numerical scheme for the one-dimensional neural field model","volume":"12","author":"Gokce","year":"2022","journal-title":"Int J Optim Control Theor Appl"},{"key":"10.1016\/j.cnsns.2026.110385_bib0043","doi-asserted-by":"crossref","first-page":"562","DOI":"10.1137\/21M1463768","article-title":"Projection methods for neural field equations","volume":"61","author":"Avitabile","year":"2023","journal-title":"SIAM J Numer Anal"},{"key":"10.1016\/j.cnsns.2026.110385_bib0044","doi-asserted-by":"crossref","first-page":"1909","DOI":"10.1137\/23M1554011","article-title":"HOPF bifurcations of two population neural fields on the sphere with diffusion and distributed delays","volume":"23","author":"Spek","year":"2024","journal-title":"SIAM J Appl Dyn Syst"},{"key":"10.1016\/j.cnsns.2026.110385_bib0045","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1007\/s00332-024-10055-1","article-title":"Well-posedness and regularity of solutions to neural field problems with dendritic processing","volume":"34","author":"Avitabile","year":"2024","journal-title":"J Nonlinear Sci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0046","doi-asserted-by":"crossref","first-page":"2239","DOI":"10.1007\/s00366-024-02088-7","article-title":"The simulation of spatio-temporal neural field equations with delay depending on the position of neural fibers using the Galerkin method based on moving least squares","volume":"41","author":"Hosseinian","year":"2025","journal-title":"Eng Comput"},{"issue":"5","key":"10.1016\/j.cnsns.2026.110385_bib0047","doi-asserted-by":"crossref","first-page":"2630","DOI":"10.1002\/num.22981","article-title":"A kernel-based pseudo-spectral method for multi-term and distributed order time-fractional diffusion equations","volume":"39","author":"Fardi","year":"2023","journal-title":"Numer Methods Partial Differ Equ"},{"key":"10.1016\/j.cnsns.2026.110385_bib0048","doi-asserted-by":"crossref","DOI":"10.1016\/j.icheatmasstransfer.2026.111204","article-title":"Fast and accurate high-order discretization of nonlinear fractional integro-differential equations in multi-dimensional settings","volume":"175","author":"Safari","year":"2026","journal-title":"Int Commun Heat Mass Transf"},{"key":"10.1016\/j.cnsns.2026.110385_bib0049","doi-asserted-by":"crossref","first-page":"A2221","DOI":"10.1137\/24M1645474","article-title":"Numerical approximation of the nonlocal ternary viscous Cahn\u2013Hilliard model based on a high order explicit hybrid algorithm","volume":"47","author":"Weng","year":"2025","journal-title":"SIAM J Sci Comput"},{"key":"10.1016\/j.cnsns.2026.110385_bib0050","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2026.118968","article-title":"Numerical approximation of the multi-component conservative Allen\u2013Cahn model based on boundary corrected strang splitting method","volume":"456","author":"Weng","year":"2026","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.cnsns.2026.110385_bib0051","article-title":"Superconvergence results for hypersingular integral equation of first kind by Chebyshev spectral projection methods","volume":"487","author":"Gupta","year":"2025","journal-title":"Appl Math Comput"},{"key":"10.1016\/j.cnsns.2026.110385_bib0052","doi-asserted-by":"crossref","first-page":"3508","DOI":"10.1016\/j.camwa.2018.02.013","article-title":"A space\u2013time spectral collocation method for the two-dimensional variable-order fractional percolation equations","volume":"75","author":"Jiang","year":"2018","journal-title":"Comput Math Appl"},{"key":"10.1016\/j.cnsns.2026.110385_bib0053","article-title":"Spectral methods for capillary surfaces described by bounded generating curves","volume":"450","author":"Treinen","year":"2023","journal-title":"Appl Math Comput"},{"key":"10.1016\/j.cnsns.2026.110385_bib0054","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2025.118639","article-title":"A novel shape transformation method via the nonlocal modified Allen-Cahn model: analysis and numerical simulations","volume":"450","author":"Weng","year":"2026","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.cnsns.2026.110385_bib0055","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1016\/j.camwa.2022.10.022","article-title":"Numerical inversion of reaction parameter for a time-fractional diffusion equation by Legendre spectral collocation and mollification method","volume":"128","author":"Zhang","year":"2022","journal-title":"Comput Math Appl"},{"key":"10.1016\/j.cnsns.2026.110385_bib0056","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.99.012313","article-title":"Next-generation neural field model: the evolution of synchrony within patterns and waves","volume":"99","author":"Byrne","year":"2019","journal-title":"Phys Rev E"},{"key":"10.1016\/j.cnsns.2026.110385_bib0057","doi-asserted-by":"crossref","first-page":"726","DOI":"10.1152\/jn.00406.2019","article-title":"Next-generation neural mass and field modeling","volume":"123","author":"Byrne","year":"2020","journal-title":"J Neurophysiol"},{"issue":"2","key":"10.1016\/j.cnsns.2026.110385_bib0058","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/s00422-023-00969-6","article-title":"Periodic solutions in next generation neural field models","volume":"117","author":"Laing","year":"2023","journal-title":"Biol Cybern"},{"issue":"2259","key":"10.1016\/j.cnsns.2026.110385_bib0059","article-title":"Collective states in a ring network of theta neurons","volume":"478","author":"Omel\u2019chenko","year":"2022","journal-title":"Proc R Soc A Math Phys Eng Sci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0060","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.90.010901","article-title":"Derivation of a neural field model from a network of theta neurons","volume":"90","author":"Laing","year":"2014","journal-title":"Phys Rev E"},{"key":"10.1016\/j.cnsns.2026.110385_bib0061","doi-asserted-by":"crossref","DOI":"10.1063\/1.5143261","article-title":"Moving bumps in theta neuron networks","volume":"30","author":"Laing","year":"2020","journal-title":"Chaos Interdiscip J Nonlinear Sci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0062","doi-asserted-by":"crossref","first-page":"1476","DOI":"10.1162\/neco_a_01680","article-title":"Pulse shape and voltage-dependent synchronization in spiking neuron networks","volume":"36","author":"Pietras","year":"2024","journal-title":"Neural Comput"},{"key":"10.1016\/j.cnsns.2026.110385_bib0063","doi-asserted-by":"crossref","first-page":"1899","DOI":"10.1137\/15M1011287","article-title":"Exact neural fields incorporating gap junctions","volume":"14","author":"Laing","year":"2015","journal-title":"SIAM J Appl Dyn Syst"},{"key":"10.1016\/j.cnsns.2026.110385_bib0064","article-title":"Macroscopic description for networks of spiking neurons","volume":"5","author":"Montbri\u00f3","year":"2015","journal-title":"Phys Rev X"},{"issue":"5","key":"10.1016\/j.cnsns.2026.110385_bib0065","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.96.052407","article-title":"Synchrony-induced modes of oscillation of a neural field model","volume":"96","author":"Esnaola-Acebes","year":"2017","journal-title":"Phys Rev E"},{"key":"10.1016\/j.cnsns.2026.110385_bib0066","doi-asserted-by":"crossref","DOI":"10.3389\/fnsys.2021.631377","article-title":"Dynamics of structured networks of Winfree oscillators","volume":"15","author":"Laing","year":"2021","journal-title":"Front Syst Neurosci"},{"key":"10.1016\/j.cnsns.2026.110385_bib0067","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.96.042208","article-title":"Synchronization scenarios in the Winfree model of coupled oscillators","volume":"96","author":"Gallego","year":"2017","journal-title":"Phys Rev E"},{"key":"10.1016\/j.cnsns.2026.110385_bib0068","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1002\/9781119159193.ch37","article-title":"Phase oscillator network models of brain dynamics","author":"Laing","year":"2017","journal-title":"Comput Models Brain Behav"},{"key":"10.1016\/j.cnsns.2026.110385_bib0069","series-title":"Spectral methods: fundamentals in single domains","author":"Canuto","year":"2006"},{"key":"10.1016\/j.cnsns.2026.110385_bib0070","first-page":"825","article-title":"On spectral methods for Volterra integral equations and the convergence analysis","author":"Tang","year":"2008","journal-title":"J Comput Math"},{"key":"10.1016\/j.cnsns.2026.110385_bib0071","series-title":"Spectral methods: algorithms, analysis and applications","author":"Shen","year":"2011"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426007392?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426007392?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,20]],"date-time":"2026-06-20T09:18:50Z","timestamp":1781947130000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426007392"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":71,"alternative-id":["S1007570426007392"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110385","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Efficient numerical simulation of next-generation neural field models with periodic solutions","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110385","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"110385"}}