Applied Math · Mathematics & Statistics
Dynamical Systems
The newest papers in Dynamical Systems that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
56 papers, from 8 September 2026 to 5 November 2026: 56 arXiv preprints.
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Newest papers, page 3
DisKO: Deep Koopman Learning in Distribution Space from Unpaired Snapshots
Many complex systems are observed only through temporally unpaired distribution snapshots, making trajectory-based dynamical learning difficult without additional assumptions.The Role of Feed-Forward Layers in Transformer Dynamics
We study the dynamical behavior of tokens in transformers from a control-theoretic perspective.Prediction Limits and Koopman Closure of Geometry-Induced Soft State Abstractions
We study when geometry-induced soft state abstractions admit accurate finite-dimensional linear dynamics.Mechanism-Aware Ensemble Conditioning for Data-Limited Emulation of Extreme Events
Extreme events in chaotic systems are difficult to learn from short trajectories because they are controlled by transient finite-time instability rather than by frequently observed bulk dynamics.Continuous-Time Trajectory Generation from Discrete Observations with Stochasticity
Physical systems evolve continuously in time, yet their states are typically observed only at discrete times.Functional dynamic mode decomposition: Learning infinite-dimensional systems from data
Dynamic mode decomposition (DMD) is a data-driven method that computes the best linear approximation of the underlying dynamical system and decomposes the dynamics into a superposition of…AFT Neural Function Approximators for 1D Nonlinear Force Laws
Nonlinear contacts and friction strongly influence the vibration response of assembled structures, but their accurate numerical treatment is computationally demanding.Improving Ensemble Filters with Flow Matching
Data assimilation estimates a dynamical state from partial and noisy observations.Impact-Time Guidance via Normal Contraction to a Time-to-Go Isochron
We develop a contraction-based perspective on impact-time guidance that augments a baseline homing command with a timing bias.Sharp Reconstruction Bounds for Autoencoders Using the Same Forward Map
We study reconstruction in autoencoders that apply the same forward map before and after setting the observed coordinates to zero.The Attention Within: Consensus Dynamics in Selective State Space Models
Selective state space models (SSMs) have recently emerged as a compelling alternative to transformers, combining competitive performance with substantially improved inference efficiency.Same path, different: a mechanistic comparison of looped and stacked transformer encoders on 12-lead ECG
Recurrent Transformers reusing their weights rather than stacking $L$ distinct layers are becoming widely adopted due to their parameter efficiency [1,2,3].Improving Reduced-Order Rotating Detonation Engine Models with Data Assimilation and Machine Learning
Rotating detonation engines (RDEs) exhibit strongly nonlinear, multiscale wave dynamics that set the observed thermal field.LoRA-RC: Reservoir Computing with Low-Rank Adaptation
Reservoir computing (RC) trains only a linear readout over a fixed recurrent layer, making it fast and data-efficient for online prediction.Learning Interaction Kernels from Collective Steady States
We propose a learning procedure for system identification in interacting particle systems from single-snapshot observations of collective behaviors, unlike existing approaches that rely on…Networked Admissibility-Preserving Control for Directed Safe Coordination
This paper addresses safety-critical coordination for scalar agents whose distributed commands are implemented through constrained physical-input dynamics.