Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System Daniel GomezMarkus De MedeirosWen Yang OriginalPaper 18 December 2023 Article: 24
Numerical Computation of Dark Solitons of a Nonlocal Nonlinear Schrödinger Equation André de LaireGuillaume DujardinSalvador López-Martínez OriginalPaper 18 December 2023 Article: 23
Nonlinear Model Reduction for Slow–Fast Stochastic Systems Near Unknown Invariant Manifolds Felix X.-F. YeSichen YangMauro Maggioni OriginalPaper 08 December 2023 Article: 22
Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem Xiuxiu LinYanping ChenYunqing Huang OriginalPaper 01 December 2023 Article: 21
Well-Posedness and Stability Analysis of a Landscape Evolution Model Julie BinardPierre DegondPascal Noble OriginalPaper 24 November 2023 Article: 20
Cognitive Consumer-Resource Spatiotemporal Dynamics with Nonlocal Perception Yongli SongHao WangJinfeng Wang OriginalPaper 18 November 2023 Article: 19
Oscillations in a Fully Connected Network of Leaky Integrate-and-Fire Neurons with a Poisson Spiking Mechanism Grégory DumontJacques HenryCarmen Oana Tarniceriu OriginalPaper 17 November 2023 Article: 18
Geometric Blow-Up for Folded Limit Cycle Manifolds in Three Time-Scale Systems S. JelbartC. KuehnS.-V. Kuntz OriginalPaper Open access 16 November 2023 Article: 17
Stochastic Gradient Descent with Noise of Machine Learning Type Part II: Continuous Time Analysis Stephan Wojtowytsch OriginalPaper 15 November 2023 Article: 16
Phase-Amplitude Coordinate-Based Neural Networks for Inferring Oscillatory Dynamics Talha AhmedDan Wilson OriginalPaper 11 November 2023 Article: 15
Phase-Locked Solutions of a Coupled Pair of Nonidentical Oscillators Kuan-Wei ChenChih-Wen Shih OriginalPaper 11 November 2023 Article: 14
Accurate Computations up to Breakdown of Quasi-Periodic Attractors in the Dissipative Spin–Orbit Problem Renato CallejaAlessandra CellettiRafael de la Llave OriginalPaper Open access 07 November 2023 Article: 12
A Nonlocal Reaction-Diffusion Model of West Nile Virus with Vertical Transmission Feng-Bin WangRuiwen WuXiao-Qiang Zhao OriginalPaper 07 November 2023 Article: 13
Thin-Film Equations with Singular Potentials: An Alternative Solution to the Contact-Line Paradox Riccardo DurastantiLorenzo Giacomelli OriginalPaper Open access 06 November 2023 Article: 11
Wigner Equations for Phonons Transport and Quantum Heat Flux V. D. CamiolaV. RomanoG. Vitanza OriginalPaper Open access 03 November 2023 Article: 10
Hamiltonian Mechanics and Lie Algebroid Connections Jiawei HuAri Stern OriginalPaper 02 November 2023 Article: 9
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization Jason J. BramburgerGiovanni Fantuzzi OriginalPaper 30 October 2023 Article: 8
Exponential Entropy Dissipation for Weakly Self-Consistent Vlasov–Fokker–Planck Equations Erhan BayraktarQi FengWuchen Li OriginalPaper 30 October 2023 Article: 7
Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations K. U. Kristiansen OriginalPaper Open access 26 October 2023 Article: 6
A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order Lucas BouckRicardo H. NochettoVladimir Yushutin OriginalPaper 21 October 2023 Article: 5
Pulsating Fronts of Spatially Periodic Bistable Reaction–Diffusion Equations Around an Obstacle Fu-Jie JiaWei-Jie ShengZhi-Cheng Wang OriginalPaper 17 October 2023 Article: 4
Non-existence of Mean-Field Models for Particle Orientations in Suspensions Richard M. HöferAmina MecherbetRichard Schubert OriginalPaper Open access 16 October 2023 Article: 3
Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model Liang GuoNing JiangShaojun Tang OriginalPaper 14 October 2023 Article: 2
Publisher Correction: The Regularized Visible Fold Revisited K. Uldall Kristiansen Publisher Correction 13 October 2023 Article: 1
Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation Telmo PeixeAlexandre A. Rodrigues Correction 06 October 2023 Article: 121
Fractional-Order Periodic Maps: Stability Analysis and Application to the Periodic-2 Limit Cycles in the Nonlinear Systems Sachin BhalekarPrashant M. Gade OriginalPaper 06 October 2023 Article: 119
Systematic Search for Singularities in 3D Euler Flows Xinyu ZhaoBartosz Protas OriginalPaper 06 October 2023 Article: 120
On the Poincaré–Bendixson Formula for Planar Piecewise Smooth Vector Fields Shimin LiChangjian LiuJaume Llibre OriginalPaper 05 October 2023 Article: 118
A Three-Dimensional Generalization of QRT Maps Jaume AlonsoYuri B. SurisKangning Wei OriginalPaper Open access 05 October 2023 Article: 117
On the Discretely Self-similar Solutions to the Euler Equations in \({\mathbb {R}}^3\) Dongho ChaeJörg Wolf OriginalPaper 04 October 2023 Article: 115
Response Solutions in Singularly Perturbed, Quasi-Periodically Forced Nonlinear Oscillators Wen SiLu XuYingfei Yi OriginalPaper 04 October 2023 Article: 114
Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation Guangxiong ZhangPeng HuangChengfa Wu OriginalPaper 04 October 2023 Article: 116
On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising A. El HakoumeZ. ZaabouliA. Laghrib OriginalPaper 30 September 2023 Article: 113
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma Nacer AarachFrancesco De AnnaNing Zhu OriginalPaper Open access 27 September 2023 Article: 112
J-Trajectories in 4-Dimensional Solvable Lie Group \(\textrm{Sol}_1^4\) Zlatko ErjavecJun-ichi Inoguchi OriginalPaper 25 September 2023 Article: 111
Data Assimilation Using Time-Delay Nudging in the Presence of Gaussian Noise Emine CelikEric Olson OriginalPaper 25 September 2023 Article: 110
Reconnection of Infinitely Thin Antiparallel Vortices and Coherent Structures Sergei IakuninLuis Vega OriginalPaper Open access 22 September 2023 Article: 109
Large Amplitude Radially Symmetric Spots and Gaps in a Dryland Ecosystem Model Eleanor ByrnesPaul CarterLily Liu OriginalPaper Open access 21 September 2023 Article: 107
Complex Dynamics of a Stochastic SIR Epidemic Model with Vertical Transmission and Varying Total Population Size Xiao-Bing ZhangLiang Zheng OriginalPaper 21 September 2023 Article: 108
Well-Posedness of a Nonlinear Shallow Water Model for an Oscillating Water Column with Time-Dependent Air Pressure Edoardo BocchiJiao HeGastón Vergara-Hermosilla OriginalPaper 19 September 2023 Article: 103
Maxwell’s Equations in a Plane Waveguide with Nonhomogeneous Nonlinear Permittivity: Analytical and Numerical Approaches S. V. TikhovD. V. Valovik OriginalPaper 19 September 2023 Article: 105
On Stability Estimates for the Inviscid Boussinesq Equations Christian Zillinger OriginalPaper Open access 19 September 2023 Article: 106
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg–de Vries Equation T. CongyG. A. ElA. Tovbis OriginalPaper Open access 19 September 2023 Article: 104
Pentagram-Type Maps and the Discrete KP Equation Bao Wang OriginalPaper 12 September 2023 Article: 101
Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty Montie AveryMatt HolzerArnd Scheel OriginalPaper 12 September 2023 Article: 102
Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion Arnaud DucrotZhucheng Jin OriginalPaper 01 September 2023 Article: 100
Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation Telmo PeixeAlexandre A. Rodrigues OriginalPaper 01 September 2023 Article: 99
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes Sabine HittmeirRupert KleinEdriss S. Titi Correction Open access 26 August 2023 Article: 98
Dynamic Behavior of a General Stochastic HIV Model with Virus-to-Cell Infection, Cell-to-Cell Transmission, Immune Response and Distributed Delays Yan WangMinmin LuDaqing Jiang OriginalPaper 20 August 2023 Article: 97
Theoretical and Computational Analysis of the Thermal Quasi-Geostrophic Model D. CrisanD. D. HolmW. Pan OriginalPaper Open access 16 August 2023 Article: 96
