001 Towards chemistries in dynamical systems arXiv Paper Martin Biehl, Nathaniel Virgo Jul 21 002 Loss Landscape Diagnosis for Gradient-Based Gray-Scott System Inversion: Disentangling the Roles of PINN Components arXiv Paper Yan Yang Jun 9 003 Neuromorphic Computing Based on Parametrically-Driven Oscillators and Frequency Combs arXiv Paper Mahadev Sunil Kumar et al. Apr 23 004 AI models of unstable flow exhibit hallucination arXiv Paper R. Wibawa, Birendra Jha Apr 22 005 Benchmarking CNN- and Transformer-Based Models for Surgical Instrument Segmentation in Robotic-Assisted Surgery arXiv Paper Sara Ameli Apr 10 006 On the Practical Estimation and Interpretation of Rényi Transfer Entropy arXiv Paper Zlata Tabachová et al. Jan 4 007 Soliton profiles: Classical Numerical Schemes vs. Neural Network - Based Solvers arXiv Paper Chandler Haight et al. Dec 31, 2025 008 Pattern recognition in complex systems via vector-field representations of spatio-temporal data arXiv Paper I. M. Solis, Maria Tessel van Rossem et al. Dec 18, 2025 009 Enhancing PINN Accuracy for the RLW Equation: Adaptive and Conservative Approaches arXiv Paper Aamir Shehzad Nov 8, 2025 010 Structure-Preserving Physics-Informed Neural Network for the Korteweg--de Vries (KdV) Equation arXiv Paper Victory C. Obieke, Emmanuel E. Oguadimma Nov 1, 2025 011 Multifractal features of multimodal cardiac signals: Nonlinear dynamics of exercise recovery arXiv Paper A. Maluckov et al. Sep 27, 2025 012 Equilibrium flow: From Snapshots to Dynamics arXiv Paper Yanbo Zhang et al. Sep 22, 2025 013 Predicting Brain Morphogenesis via Physics-Transfer Learning arXiv Paper Yingjie Zhao, Yichen Song et al. Aug 22, 2025 014 Collision-Free Bearing-Driven Formation Tracking for Euler-Lagrange Systems arXiv Paper Haoshu Cheng et al. Aug 13, 2025 015 The Glider Equation for Asymptotic Lenia arXiv Paper Hiroki Kojima et al. Aug 6, 2025 016 Physics-informed neural networks for high-dimensional solutions and snaking bifurcations in nonlinear lattices arXiv Paper M. Shahab, Fidya Almira Suheri et al. Jul 13, 2025 017 Robust Moment Identification for Nonlinear PDEs via a Neural ODE Approach arXiv Paper Shaoxuan Chen et al. Jun 5, 2025 018 Data-Driven Soft Robot Control via Adiabatic Spectral Submanifolds arXiv Paper Roshan S. Kaundinya, J. I. Alora et al. Mar 13, 2025 019 Neural Network Modeling of Microstructure Complexity Using Digital Libraries arXiv Paper Yingjie Zhao, Zhiping Xu Jan 30, 2025 020 Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? arXiv Paper Zijian Zhou, Zhenya Yan Dec 9, 2024 021 TRENDy: Temporal Regression of Effective Nonlinear Dynamics arXiv Paper Matthew Ricci, Guy Pelc et al. Dec 4, 2024 022 Reconstruction of neuromorphic dynamics from a single scalar time series using variational autoencoder and neural network map arXiv Paper Pavel V. Kuptsov, Nataliya Stankevich Nov 11, 2024 023 Data-Driven Discovery of Conservation Laws from Trajectories via Neural Deflation arXiv Paper Shaoxuan Chen et al. Oct 7, 2024 024 Data-driven 2D stationary quantum droplets and wave propagations in the amended GP equation with two potentials via deep neural networks learning arXiv Paper Jin Song, Zhenya Yan Sep 4, 2024 025 Swarm Systems as a Platform for Open-Ended Evolutionary Dynamics arXiv Paper Hiroki Sayama Sep 2, 2024 026 Two-stage initial-value iterative physics-informed neural networks for simulating solitary waves of nonlinear wave equations arXiv Paper Jin Song, Ming Zhong et al. Sep 2, 2024 027 Neural networks for bifurcation and linear stability analysis of steady states in partial differential equations arXiv Paper Muhammad Luthfi Shahab, H. Susanto Jul 29, 2024 028 Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics arXiv Paper J. Nathan Kutz et al. May 20, 2024 029 Suppressing Modulation Instability with Reinforcement Learning arXiv Paper Nikolay I. Kalmykov, R. Zagidullin et al. Apr 5, 2024 030 Learning Traveling Solitary Waves Using Separable Gaussian Neural Networks arXiv Paper Siyuan Xing, E. Charalampidis Mar 7, 2024 031 Self-Reproduction and Evolution in Cellular Automata: 25 Years after Evoloops arXiv Paper Hiroki Sayama et al. Feb 6, 2024 032 Physical Reservoir Computing Enabled by Solitary Waves and Biologically-Inspired Nonlinear Transformation of Input Data arXiv Paper Ivan S. Maksymov Jan 3, 2024 033 Engineered Ordinary Differential Equations as Classification Algorithm (EODECA): thorough characterization and testing arXiv Paper Raffaele Marino et al. Dec 22, 2023 034 On Principles of Emergent Organization arXiv Paper Adam T. Rupe et al. Nov 23, 2023 035 Learning spatio-temporal patterns with Neural Cellular Automata arXiv Paper Alex D. Richardson et al. Oct 23, 2023 036 Data-driven localized waves and parameter discovery in the massive Thirring model via extended physics-informed neural networks with interface zones arXiv Paper Junchao Chen, Jin Song et al. Sep 29, 2023 037 Deep learning soliton dynamics and complex potentials recognition for 1D and 2D PT-symmetric saturable nonlinear Schrödinger equations arXiv Paper Jin Song, Zhenya Yan Sep 29, 2023 038 A Data-Driven Approach to Morphogenesis under Structural Instability arXiv Paper Yingjie Zhao et al. Aug 23, 2023 039 Analogue and Physical Reservoir Computing Using Water Waves arXiv Paper Ivan S. Maksymov Jun 15, 2023 040 Data driven localized wave solution of the Fokas-Lenells equation using modified PINN arXiv Paper Gautam Kumar Saharia, Sagardeep Talukdar et al. Jun 3, 2023 041 Nonlinear Bipartite Output Regulation with Application to Turing Pattern arXiv Paper Dong Liang et al. May 25, 2023 042 Implementation of Lenia as a Reaction-Diffusion System arXiv Paper Hiroki Kojima et al. May 23, 2023 043 Coherent Wave Dynamics and Language Generation of a Generative Pre-trained Transformer arXiv Paper Tao Hong May 8, 2023 044 Unsupervised Discovery of Extreme Weather Events Using Universal Representations of Emergent Organization arXiv Paper Adam Rupe et al. Apr 25, 2023 045 Reservoir computing based on solitary-like waves dynamics of film flows: a proof of concept arXiv Paper Ivan S. Maksymov, Andrey Pototsky Mar 3, 2023 046 Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator arXiv Paper Ming Zhong, Zhenya Yan Aug 29, 2022 047 Deep Learning of Radiative Atmospheric Transfer with an Autoencoder arXiv Paper Abigail Basener, Bill Basener Jul 21, 2022 048 Physics Guided Machine Learning for Variational Multiscale Reduced Order Modeling arXiv Paper Shady E. Ahmed, O. San et al. May 25, 2022 049 Neural Computing with Coherent Laser Networks arXiv Paper Mohammad‐Ali Miri, Vinod Menon Apr 5, 2022 050 Discovering dynamical features of Hodgkin-Huxley-type model of physiological neuron using artificial neural network arXiv Paper P. Kuptsov, N. Stankevich et al. Mar 26, 2022 051 Deep neural networks for solving forward and inverse problems of (2+1)-dimensional nonlinear wave equations with rational solitons arXiv Paper Zijian Zhou, Li Wang et al. Dec 28, 2021 052 Data-driven discoveries of Bäcklund transforms and soliton evolution equations via deep neural network learning schemes arXiv Paper Zijian Zhou, Li Wang et al. Nov 18, 2021 053 Learning Nonlinear Waves in Plasmon-induced Transparency arXiv Paper Jiaxi Cheng et al. Jul 31, 2021 054 Deep learning neural networks for the third-order nonlinear Schrodinger equation: Solitons, breathers, and rogue waves arXiv Paper Zijian Zhou, Zhenya Yan Apr 30, 2021 055 Initializing LSTM internal states via manifold learning arXiv Paper Felix P. Kemeth et al. Apr 27, 2021 056 Data-driven peakon and periodic peakon travelling wave solutions of some nonlinear dispersive equations via deep learning arXiv Paper Li Wang, Zhenya Yan Jan 12, 2021 057 Learning emergent PDEs in a learned emergent space arXiv Paper Felix P. Kemeth et al. Dec 23, 2020 058 Data-driven rogue waves and parameter discovery in the defocusing NLS equation with a potential using the PINN deep learning arXiv Paper Li Wang, Zhenya Yan Dec 18, 2020 059 Data-driven prediction of multistable systems from sparse measurements arXiv Paper Bryan Chu et al. Oct 28, 2020 060 Lenia and Expanded Universe arXiv Paper Bert Wang-Chak Chan May 7, 2020