- Kinetic theory of chiral active disks: Odd transport and torque density
2026/03/04 by Raphael Maire, Raphaël Maire, Alessandro Petrini +2 · 3 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Angular momentum #Antisymmetric relation #Chirality (physics) #Dissipative system #Dust and Plasma Wave Phenomena #Helicity #Kinetic energy #Kinetic theory #Nonlinear system #Statistical Mechanics and Entropy #Torque
- On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs
2025/12/14 by Dmitry Vorotnikov, Vorotnikov, Dmitry, Amit Acharya +1 · 3 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Base (topology) #Consistency (knowledge bases) #Distributed Control Multi-Agent Systems #Dual (grammatical number) #Nonlinear system #Optimal control #Optimization and Variational Analysis #Quadratic equation #Regular polygon #Sequence (biology) #cs.NA #math.AP #math.NA #math.OC
- Gravitational waves from parabolic encounters: A study of linear and nonlinear memory
2025/11/03 by Samik Dutta, Dutta, Samik, Ankur Chhabra +7 · 1 citation
Physics and Astronomy · #Binary number #Chaos control and synchronization #Cosmology and Gravitation Theories #Displacement (psychology) #Extrapolation #Gravitation #Gravitational acceleration #Gravitational wave #Limit (mathematics) #Nonlinear system #Parabola #Pulsars and Gravitational Waves Research #Quadratic equation #Quantum chaos and dynamical systems #Salient #Stability (learning theory) #Statistical Mechanics and Entropy
- Structure-Preserving Physics-Informed Neural Network for the Korteweg--de Vries (KdV) Equation
2025/11/01 by Victory Obieke, Emmanuel Oguadimma, Obieke, Victory +1 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Artificial neural network #Backpropagation #Hamiltonian (control theory) #Initialization #Korteweg–de Vries equation #Model Reduction and Neural Networks #Neural Networks and Reservoir Computing #Nonlinear system #Ordinary differential equation #Partial differential equation #Quantum many-body systems #Regularization (linguistics) #cs.LG #math-ph #math.MP #nlin.PS #physics.flu-dyn
- Neighbor density‐dependent facilitation promotes coexistence and internal oscillation
2025/11/01 by Lisa Buche, Lauren G. Shoemaker, Peter A. Vesk +3 · 1 voice · 1 citation
Environmental Science · #Animal Ecology and Behavior Studies #Bounded function #Constant (computer programming) #Density dependence #Ecology and Vegetation Dynamics Studies #Ecosystem dynamics and resilience #Extinction (optical mineralogy) #Facilitation #Function (biology) #Nonlinear system #Population #Range (aeronautics) #Sigmoid function
- Uniqueness result for semi-linear wave equations with sources
2025/10/06 by Dong Qiu, Xiang Xu, Qiu, Dong +5 · 1 citation
Engineering · Mathematics · #Boundary value problem #Damped wave #Differential Equations and Boundary Problems #Equivalence (formal languages) #Geotechnical and Geomechanical Engineering #Inverse #Inverse problem #Linearization #Nonlinear system #Numerical methods in inverse problems #Polynomial #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations #Uniqueness #Wave equation #Work (physics)
- Arousal as a universal embedding for spatiotemporal brain dynamics
2025/09/24 by Ryan V. Raut, Zachary P. Rosenthal, Xiaodan Wang +8 · 3 voices · 12 citations
Neuroscience · #Arousal #Brain activity and meditation #Dynamical systems theory #Dynamics (music) #Electroencephalography #Embedding #Functional Brain Connectivity Studies #Memory and Neural Mechanisms #Neural dynamics and brain function #Nonlinear system #Scalar (mathematics)
- Finite-time adaptive fuzzy control for strict feedback systems with asymmetric state constraints and prescribed performance
2025/09/20 by Zonglin Yang, Guang Ling, Zhi-Hong Guan +4 · 1 citation
Computer Science · Engineering · #Adaptive Control of Nonlinear Systems #Adaptive control #Advanced Control Systems Design #Control theory (sociology) #Fuzzy Logic and Control Systems #Fuzzy control system #Fuzzy logic #Lyapunov function #Nonlinear system #Robustness (evolution) #Stability (learning theory)
- Fuzzy noncollocated boundary control for nonlinear delayed parabolic DPSs with random sensor faults
2025/07/05 by Yanlin Li, Kaibo Shi, Shuoting Wang +5 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Artificial intelligence #Boundary (topology) #Computer science #Control (management) #Control engineering #Control theory (sociology) #Engineering #Fuzzy control system #Fuzzy logic #Mathematical analysis #Mathematics #Nonlinear system #Numerical methods in inverse problems #Physics #Stability and Controllability of Differential Equations
- Analysis of beam hardening streaks in tomography
2025/05/06 by Alexander Katsevich, Katsevich, Alexander · 1 citation
Engineering · Medicine · Physics and Astronomy · #Advanced X-ray Imaging Techniques #Advanced X-ray and CT Imaging #Attenuation #Attenuation coefficient #Beam (structure) #FOS: Mathematics #Functional Analysis (math.FA) #Iterative reconstruction #Medical Imaging Techniques and Applications #Nonlinear system #Numerical Analysis (math.NA) #Scanner #Streak #Tomography
- Euler Buckling on Curved Surfaces
2025/03/06 by Si-Lu Zhao, Shiheng Zhao, Zhao, Shiheng +2 · 2 voices · 1 citation
Engineering · Physics and Astronomy · #Advanced Materials and Mechanics #Bifurcation #Buckle #Buckling #Composite Structure Analysis and Optimization #Compression (physics) #Elastic instability #Elasticity and Material Modeling #Euler's formula #Instability #Nonlinear system #cond-mat.soft #physics.bio-ph
- On the Interpolation Effect of Score Smoothing in Diffusion Models
2025/02/26 by Zhengdao Chen, Chen, Zhengdao · 1 voice · 3 citations
Computer Science · Medicine · Physics and Astronomy · #Advanced Neuroimaging Techniques and Applications #Artificial neural network #Function (biology) #Interpolation (computer graphics) #Model Reduction and Neural Networks #Noise (video) #Nonlinear system #Score #Set (abstract data type) #Smoothing #Stochastic Gradient Optimization Techniques
- Reduced order modeling with shallow recurrent decoder networks
2025/02/15 by Matteo Tomasetto, Tomasetto, Matteo, Jan P. Williams +7 · 10 citations
Computer Science · Physics and Astronomy · #Chaotic #Compressed sensing #Curse of dimensionality #Dimensionality reduction #Generative Adversarial Networks and Image Synthesis #Hyperparameter #Model Reduction and Neural Networks #Neural Networks and Reservoir Computing #Nonlinear system #Parametric statistics #Reduction (mathematics)
- Stable Soliton Microcomb Generation in X-cut Lithium Tantalate via Thermal-Assisted Photorefractive Suppression
2025/02/12 by Jiachen Cai, Cai, Jiachen, Shuai Wan +31 · 2 citations
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Ferroelectricity #Lithium (medication) #Lithium niobate #Lithium tantalate #Materials science #Nonlinear system #Optics #Optics (physics.optics) #Optoelectronics #Photonic and Optical Devices #Photorefractive and Nonlinear Optics #Photorefractive effect #Physics #Quantum mechanics #Soliton #Tantalate #Thermal #Thermal stability #Thermodynamics
- RCUKF: Data-Driven Modeling Meets Bayesian Estimation
2025/01/01 by Kumar Anurag, Kumar Ankur Anurag, Kasra Azizi +6 · 1 citation
Computer Science · Physics and Astronomy · #Bayesian probability #Benchmark (surveying) #Component (thermodynamics) #Gaussian Processes and Bayesian Inference #Kalman filter #Model Reduction and Neural Networks #Neural Networks and Reservoir Computing #Nonlinear system #Process (computing) #Task (project management) #Trajectory #Unscented transform
- Examining macro-level traffic crashes considering nonlinear and spatiotemporal spillover effects
2024/12/04 by Wei Zhou, Pengpeng Xu, Jiabin Wu +1 · 3 citations
Engineering · Medicine · Social Sciences · #Civil engineering #Computer science #Economic impact analysis #Economics #Engineering #Environmental health #Human factors and ergonomics #Injury prevention #Macro #Macro level #Medicine #Micro level #Microeconomics #Nonlinear system #Occupational safety and health #Physics #Poison control #Spillover effect #Suicide prevention #Traffic and Road Safety #Transport engineering #Transportation Planning and Optimization #Urban Transport and Accessibility
- Quantum homotopy analysis method with quantum-compatible linearization for nonlinear partial differential equations
2024/11/11 by Cheng Xue, Xue, Cheng, Xiao‐Fan Xu +18 · 4 citations
Mathematics · #Applied mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Homotopy #Homotopy analysis method #Homotopy perturbation method #Iterative Methods for Nonlinear Equations #Linearization #Mathematical analysis #Mathematical and Theoretical Analysis #Mathematics #Nonlinear system #Partial differential equation #Physics #Pure mathematics #Quantum Physics (quant-ph) #Quantum mechanics
- Time-Lagged Recurrence: a data-driven method to estimate the predictability of dynamical systems
2024/09/23 by Chenyu Dong, Davide Faranda, Adriano Gualandi +2 · 1 voice · 3 citations
Computer Science · Economics, Econometrics and Finance · Environmental Science · Mathematics · #Artificial intelligence #Chaotic #Climate variability and models #Complex Systems and Time Series Analysis #Computer science #Data science #Dynamical system (definition) #Dynamical systems theory #Econometrics #Ecosystem dynamics and resilience #Lyapunov exponent #Mathematics #Nonlinear dynamical systems #Nonlinear system #Operator (biology) #Physics #Predictability #Recurrence quantification analysis #Representation (politics) #Scale (ratio) #Statistical physics #Statistics #Time Series Analysis and Forecasting #Weighting
- Connectivity structure and dynamics of nonlinear recurrent neural networks
2024/09/03 by David G. Clark, Clark, David G., Owen Marschall +5 · 1 voice · 3 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · Psychology · #Artificial intelligence #Artificial neural network #Computer science #Dynamics (music) #Neural Networks Stability and Synchronization #Neural Networks and Applications #Nonlinear system #Physics #Psychology #cond-mat.dis-nn #cs.NE #q-bio.NC
- Scalable multilevel Monte Carlo methods exploiting parallel redistribution on coarse levels
2024/08/05 by Hillary R. Fairbanks, Hillary Fairbanks, Fairbanks, Hillary R. +6 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Grid #Markov Chains and Monte Carlo Methods #Monte Carlo method #Multigrid method #Nonlinear system #Piecewise #Scalability
- Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm
2024/07/03 by Nikolas Köcher, Köcher, Nikolas, Hendrik Rose +4 · 5 citations
Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #FOS: Physical sciences #Fourier transform #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Optical and Acousto-Optic Technologies #Physics #Pseudo-spectral method #Pseudospectral optimal control #Quantum #Quantum Physics (quant-ph) #Quantum mechanics
- Global well posedness and ergodic results in regular Sobolev spaces for the nonlinear Schrödinger equation with multiplicative noise and arbitrary power of the nonlinearity
2024/06/27 by Zdzisław Brzeźniak, Benedetta Ferrario, Brzeźniak, Zdzisław +5 · 1 citation
Mathematics · #35Q55 #35R60 #60G10 #60H15 #60H30 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Applied mathematics #Computer science #Ergodic theory #FOS: Mathematics #Mathematical analysis #Mathematics #Multiplicative function #Multiplicative noise #Noise (video) #Nonlinear system #Physics #Power (physics) #Probability (math.PR) #Quantum mechanics #Sobolev space
- Condensed Interior-Point Methods for Scalable Nonlinear Programming on GPUs
2024/05/23 by François Pacaud, Sungho Shin, Pacaud, François +7 · 3 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Cholesky decomposition #Computational science #Computer science #Factorization #Interior point method #Karush–Kuhn–Tucker conditions #Linear system #Mathematical analysis #Mathematical optimization #Mathematics #Matrix Theory and Algorithms #Nonlinear programming #Nonlinear system #Parallel Computing and Optimization Techniques #Parallel computing #Physics #Solver #math.OC
- Command Filter-Based Predefined Time Adaptive Control for Nonlinear Systems
2024/05/13 by Shuai Sui, C. L. Philip Chen, Shaocheng Tong · 6 citations
Engineering · #Adaptive Control of Nonlinear Systems #Adaptive control #Advanced Algorithms and Applications #Advanced Sensor and Control Systems #Artificial intelligence #Computer science #Control (management) #Control engineering #Control theory (sociology) #Engineering #Nonlinear system #Physics
- Mixed selectivity: Cellular computations for complexity
2024/05/09 by Kay M. Tye, Earl K. Miller, Felix Taschbach +3 · 2 voices · 43 citations
Chemistry · Computer Science · Engineering · Neuroscience · #Advanced Memory and Neural Computing #Artificial intelligence #Artificial neural network #Biological neural network #Biological system #Biology #Chemistry #Computer science #ENCODE #Electronic circuit #Machine learning #Neural Networks and Reservoir Computing #Neural dynamics and brain function #Nonlinear system #Physics #Selectivity #Simple (philosophy)
- Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations
2024/05/08 by Per Åhag, Åhag, Per, Rafał Czyż +5 · 1 citation
Mathematics · #32U35 #32W20 #53C22 #Analysis of PDEs (math.AP) #Applied mathematics #Complex Variables (math.CV) #Computer science #Context (archaeology) #Differential Geometry (math.DG) #Envelope (radar) #Euclidean geometry #FOS: Mathematics #Geodesic #Geography #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Hessian equation #Hessian matrix #Mathematical analysis #Mathematics #Nonlinear system #Partial differential equation #Physics #Primary. 32U05 #Pure mathematics #Secondary. 32F17 #Subharmonic #Subharmonic function
- NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia
2024/03/25 by Avik Pal, Pal, Avik, Flemming Holtorf +20 · 3 voices · 5 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Computer science #Mathematics #Nonlinear system #Parallel Computing and Optimization Techniques #Physics #Polynomial and algebraic computation #Quantum chaos and dynamical systems #math.NA
- Asymmetric prescribed performance control for nonlinear systems under intermittent communication
2024/02/28 by Hao Liu, Wei‐Wei Che, Wei-Wei Che · 1 citation
Computer Science · Engineering · Mathematics · #Actuator #Adaptive Control of Nonlinear Systems #Bounded function #Computer science #Constraint (computer-aided design) #Control (management) #Control theory (sociology) #Controller (irrigation) #Distributed Control Multi-Agent Systems #Mathematics #Nonlinear system #Stability and Control of Uncertain Systems #Tracking (education) #Tracking error
- How Do Nonlinear Transformers Learn and Generalize in In-Context Learning?
2024/02/23 by Hongkang Li, Li, Hongkang, Meng Wang +7 · 13 citations
Computer Science · Engineering · Mathematics · #Artificial intelligence #Computer science #Electrical engineering #Engineering #FOS: Computer and information sciences #Generalization #Machine Learning (cs.LG) #Machine learning #Mathematical analysis #Mathematics #Neural Networks and Applications #Nonlinear system #Physics #Transformer #Voltage
- On the Predictive Capability of Dynamic Mode Decomposition for Nonlinear Periodic Systems with Focus on Orbital Mechanics
2024/01/24 by Sriram Narayanan, Mohamed Naveed Gul Mohamed, Narayanan, Sriram +7 · 1 citation
Engineering · Physics and Astronomy · #Algorithm #Artificial intelligence #Computer science #Context (archaeology) #Control theory (sociology) #Decomposition #Dynamic mode decomposition #FOS: Electrical engineering #Focus (optics) #Geology #Hydraulic and Pneumatic Systems #Machine Fault Diagnosis Techniques #Machine learning #Mode (computer interface) #Nonlinear system #Optics #Physics #Set (abstract data type) #Stellar, planetary, and galactic studies #Systems and Control (eess.SY) #Trajectory #electronic engineering #information engineering
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