001 Physics-Informed Neural Networks for Discovering Periodic Orbits in the Gravitational Three-Body Problem arXiv Paper Nikolaos Kollias, NIKOLAOS M. Matzakos 5 days ago 002 Approximate reservoir computing with a semiconductor laser for reducing energy consumption arXiv Paper Tatsuki Ito, Kazutaka Kanno et al. 6 days ago 003 Photonic reservoir computing with complex networks arXiv Paper S. Park, Kohei Watabe et al. 6 days ago 004 Multiplicity of Stable Attractors in Disordered Neural Models arXiv Paper Raffaele Marino, Roberto Livi et al. 7 days ago 005 Attractor Geometry Determines the Identifiability Limits of System Discovery arXiv Paper Matteo Gallo, Fabio Anselmi et al. Jul 20 006 Beyond the Edge of Chaos: Stability-Expressivity Transfer in Reservoir Forecasting arXiv Paper Yao Du, Xingang Wang Jul 20 007 A Minimal Interpretable Architecture for Zero-Shot Reconstruction of Dynamical Systems arXiv Paper Christoph Jurgen Hemmer, Florian Plaswig et al. Jul 16 008 Emergent Generalization by Representation Learning in Artificial Neural Networks arXiv Paper Hardik Rajpal, Dan Goodman Jul 11 009 Diffusion learning reveals viable parameter manifolds and compensation geometry in biological dynamical systems arXiv Paper Ruilin Zhang, Louis Tao et al. Jul 4 010 Electronic Bursting Neuron: design, equations and hardware implementation arXiv Paper Lev V. Takaishvili et al. Jul 2 011 Scalar Representations of Neural Network Training Dynamics arXiv Paper Pedro Jim'enez-Gonz'alez, Miguel C. Soriano et al. Jun 29 012 Evolutionary Optimization Reveals Structural Constraints on Reservoir Architecture for Spatiotemporal Chaos arXiv Paper Nima Dehghani Jun 22 013 Topological Out-of-Domain Generalization in Dynamical Systems Reconstruction arXiv Paper Georg Trede, C. R. Doll et al. Jun 22 014 Distinguishing indistinguishable attractors: Unsupervised anomaly detection with reservoir computers arXiv Paper Davide Prosperino, Haochun Ma et al. Jun 19 015 Dynestyx: A Probabilistic Programming Library for Dynamical Systems arXiv Paper Daniel Waxman, Dmitry Batenkov et al. Jun 15 016 Unified Geometry-Guided ML-FTLE for Tracking Transient Chaos from Scalar Time Series arXiv Paper S.V. Manivelan, Andrei Velichko et al. Jun 5 017 Uncovering Extreme Event Mechanisms for Prediction and Control with Sensitivity-Balanced Projections arXiv Paper Nicholas Zolman, Sajeda Mokbel et al. Jun 4 018 On dynamic multi-agent pathfinding methods: review, simulations and modifications arXiv Paper Gabriel Fejziaj et al. Jun 2 019 Diagnosing the conditional-mean barrier in scientific machine-learning surrogates arXiv Paper Junfeng Chen May 27 020 A comparative study of accuracy and rollout stability of temporal surrogate models arXiv Paper Rajarshi Biswas May 24 021 Reconfigurable Nonlinear Photonic Networks for In-Situ Learning and Memory Formation via Driven-Dissipative Dynamics arXiv Paper Isaac Yorke May 19 022 FEG-Pro: Forecast-Error Growth Profiling for Finite-Horizon Instability Analysis of Nonlinear Time Series arXiv Paper Andrei Velichko, N'gbo N'gbo et al. May 17 023 ChaosNetBench: Benchmarking Spatio-Temporal Graph Neural Networks on Chaotic Lattice Dynamics arXiv Paper H. Moges, Charalampos Skokos et al. May 10 024 Escaping Mode Collapse in LLM Generation via Geometric Regulation arXiv Paper Xin Du, K. Tanaka-Ishii May 1 025 Inferring bifurcation diagrams of two distinct chaotic systems by a single machine arXiv Paper Jianmin Guo, Yao Du et al. Apr 29 026 Conditional Score-Based Modeling of Effective Langevin Dynamics arXiv Paper L. T. Giorgini Apr 27 027 Physics-Informed Temporal U-Net for High-Fidelity Fluid Interpolation arXiv Paper A. EshwarR., Nevin Mathew Thomas et al. Apr 25 028 Skillful Global Ocean Emulation and the Role of Correlation-Aware Loss arXiv Paper Niraj Agarwal, Timothy A. Smith et al. Apr 20 029 Horizon-Constrained Rashomon Sets for Chaotic Forecasting arXiv Paper Gauri Kale, Rahul Vishwakarma et al. Apr 17 030 Chaotic CNN for Limited Data Image Classification arXiv Paper M. Anusree, Akhila Henry et al. Apr 16 031 Vestibular reservoir computing arXiv Paper S. Deb, Shirin Panahi et al. Apr 10 032 Anticipating tipping in spatiotemporal systems with machine learning arXiv Paper S. Deb, Zheng-Meng Zhai et al. Apr 7 033 High-resolution probabilistic estimation of three-dimensional regional ocean dynamics from sparse surface observations arXiv Paper Niloofar Asefi, Tianning Wu et al. Apr 3 034 Integer-State Dynamics of Quantized Spiking Neural Networks for Efficient Hardware Acceleration arXiv Paper Lei Zhang Apr 1 035 Reservoir observer enhanced with residual calibration and attention mechanism arXiv Paper Yichen Liu, Wei Xiao et al. Apr 1 036 When AI output tips to bad but nobody notices: Legal implications of AI's mistakes arXiv Paper Dylan J. Restrepo, N. J. Restrepo et al. Mar 25 037 Data-Driven Weak-form Discovery of Stochastic Systems arXiv Paper Eshwar R A et al. Mar 21 038 Data-driven model order reduction for structures with piecewise linear nonlinearity using dynamic mode decomposition arXiv Paper Akira Saito, Masato Tanaka Mar 18 039 Data-driven forced response analysis with min-max representations of nonlinear restoring forces arXiv Paper Akira Saito, H. Fujita Mar 17 040 Storage and selection of multiple chaotic attractors in minimal reservoir computers arXiv Paper Francesco Martinuzzi, Holger Kantz Mar 16 041 Hierarchy of extreme-event predictability in turbulence revealed by machine learning arXiv Paper Yuxuan Yang, Chenyu Dong et al. Mar 14 042 Adaptive Diffusion Posterior Sampling for Data and Model Fusion of Complex Nonlinear Dynamical Systems arXiv Paper Dibyajyoti Chakraborty, Hojin Kim et al. Mar 13 043 Dynamics-Informed Deep Learning for Predicting Extreme Events arXiv Paper E. Katsidoniotaki, T. Sapsis Mar 11 044 Turning Time Series into Algebraic Equations: Symbolic Machine Learning for Interpretable Modeling of Chaotic Time Series arXiv Paper Madhurima Panja, Grace Younes et al. Mar 7 045 Chaotic Oscillator Networks for Classification Tasks arXiv Paper Toni Ivas et al. Mar 6 046 From Complex Dynamics to DynFormer: Rethinking Transformers for PDEs arXiv Paper Pengyu Lai et al. Mar 3 047 Learning Quantum Data Distribution via Chaotic Quantum Diffusion Model arXiv Paper Quoc-Hoan Tran, Koki Chinzei et al. Feb 25 048 Transformers for dynamical systems learn transfer operators in-context arXiv Paper Anthony Bao et al. Feb 21 049 Physics and causally constrained discrete-time neural models of turbulent dynamical systems arXiv Paper Fabrizio Falasca et al. Feb 14 050 Potential-energy gating for robust state estimation in bistable stochastic systems arXiv Paper Luigi Simeone Feb 12 051 Is Flow Matching Just Trajectory Replay for Sequential Data? arXiv Paper Soon Hoe Lim et al. Feb 9 052 Neural Ising Machines via Unrolling and Zeroth-Order Training arXiv Paper Sam Reifenstein et al. Jan 30 053 High-Fidelity Modeling of Stochastic Chemical Dynamics on Complex Manifolds: A Multi-Scale SIREN-PINN Framework for the Curvature-Perturbed Ginzburg-Landau Equation arXiv Paper Julian Evan Chrisnanto et al. Jan 13 054 Data-Driven Reduced-Complexity Modeling of Fluid Flows: A Community Challenge arXiv Paper Oliver T. Schmidt et al. Jan 7 055 Identifying recurrent flows in high-dimensional dissipative chaos from low-dimensional embeddings arXiv Paper Pierre Beck et al. Jan 4 056 Identification of fixations and saccades in eye-tracking data using adaptive threshold-based method arXiv Paper Charles Orioma et al. Dec 30, 2025 057 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 058 Lazy Diffusion: Mitigating spectral collapse in generative diffusion-based stable autoregressive emulation of turbulent flows arXiv Paper Anish Sambamurthy et al. Dec 10, 2025 059 Data assimilation and discrepancy modeling with shallow recurrent decoders arXiv Paper Yuxuan Bao et al. Dec 1, 2025 060 Multivariate time series prediction using clustered echo state network arXiv Paper S. Hariharan, R. 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