Mean-field dynamics of attractive resource interaction: From uniform to aggregated states

Authors: Oksana R. Satur

Source: Mathematics and Computers in Simulation. 248:213-238

Subject Terms: FOS: Mathematics, 37N25, 39A30, 91D30, Dynamical Systems (math.DS), Dynamical Systems

Access URL: https://arxiv.org/abs/2602.17852
http://arxiv.org/abs/2602.17852

Low-energy round-trip trajectories to Near-Earth Objects using low thrust

Authors: Alessandro Beolchi, Mauro Pontani, Kathleen Howell, Chiara Pozzi, Sean Swei, Elena Fantino

Source: Acta Astronautica. 245:982-996

Subject Terms: Earth and Planetary Astrophysics (astro-ph.EP), FOS: Mathematics, Instrumentation and Methods for Astrophysics, FOS: Physical sciences, Earth and Planetary Astrophysics, Dynamical Systems (math.DS), Instrumentation and Methods for Astrophysics (astro-ph.IM), Dynamical Systems

Access URL: http://arxiv.org/abs/2603.27683
https://arxiv.org/abs/2603.27683

Low-energy and low-thrust exploration tour of Saturnian moons with full lunar surface coverage

Authors: Chiara Pozzi, Mauro Pontani, Alessandro Beolchi, Hadi Susanto, Elena Fantino

Source: Acta Astronautica. 245:311-328

Subject Terms: Earth and Planetary Astrophysics (astro-ph.EP), FOS: Mathematics, FOS: Physical sciences, Earth and Planetary Astrophysics, Halo orbits, High-fidelity model, Homoclinic and heteroclinic connections, Hyperbolic invariant manifolds, Low thrust, Low-energy transfers, Perturbations, Saturnian system, Dynamical Systems (math.DS), Dynamical Systems

Access URL: http://arxiv.org/abs/2603.07085

Singular systems of linear forms over global function fields

Authors: Gukyeong Bang, Taehyeong Kim, Seonhee Lim

Source: Journal of Number Theory. 285:324-362

Subject Terms: Number Theory, FOS: Mathematics, Dynamical Systems (math.DS), Number Theory (math.NT), Dynamical Systems

Access URL: http://arxiv.org/abs/2404.07752

The prime number theorem over integers of power-free polynomial values

Authors: Biao Wang, Shaoyun Yi

Source: Journal of Number Theory. 283:216-229

Subject Terms: Number Theory, FOS: Mathematics, Number Theory (math.NT), Dynamical Systems (math.DS), Dynamical Systems

Access URL: http://arxiv.org/abs/2504.00804

Integrating the enveloping technique with the expansion strategy to establish stability

Authors: Ziyad Alsharawi, Jose S. Cánovas

Source: Mathematics and Computers in Simulation. 243:1-15

Subject Terms: FOS: Mathematics, Dynamical Systems (math.DS), Dynamical Systems

Access URL: http://arxiv.org/abs/2510.04538

$\mathcal {H}_{2}$ Optimal Model Reduction of Linear Systems With Multiple Quadratic Outputs

Authors: Sean Reiter, Igor Pontes Duff, Ion Victor Gosea, Serkan Gugercin

Source: IEEE Transactions on Automatic Control. 71:3168-3183

Subject Terms: Optimization and Control (math.OC), FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Systems and Control (eess.SY), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Electrical Engineering and Systems Science - Systems and Control, Mathematics - Optimization and Control, 15A24, 46N10, 49K15, 93A15, 93C10, 93C80

Access URL: http://arxiv.org/abs/2405.05951

On-Manifold Low-Thrust Rephasing of Quasi-Periodic Orbits

Authors: Ian M. Down, Manoranjan Majji, Kathleen C. Howell

Source: Journal of Guidance, Control, and Dynamics. 49:1300-1316

Subject Terms: Chaotic Dynamics, Optimization and Control (math.OC), Optimization and Control, FOS: Mathematics, FOS: Physical sciences, Dynamical Systems (math.DS), Chaotic Dynamics (nlin.CD), Dynamical Systems

Access URL: http://arxiv.org/abs/2507.07940

Universal Set of Observables for Forecasting Physical Systems Through Causal Embedding

Authors: G. Manjunath, A. de Clercq, M. J. Steynberg

Source: IEEE Transactions on Neural Networks and Learning Systems. 37:2391-2399

Subject Terms: FOS: Computer and information sciences, Computer Science - Machine Learning, 0103 physical sciences, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 01 natural sciences, Machine Learning (cs.LG)

Access URL: https://pubmed.ncbi.nlm.nih.gov/41343326
http://arxiv.org/abs/2105.10759

Sparse Identification of Nonlinear Dynamics With Library Optimization Mechanism: Recursive Long-Term Prediction Perspective

Authors: Ansei Yonezawa, Heisei Yonezawa, Shuichi Yahagi, Itsuro Kajiwara, Shinya Kijimoto, Hikaru Taniuchi, Kentaro Murakami

Source: IEEE Transactions on Cybernetics. 56:2475-2488

Subject Terms: Machine Learning, FOS: Computer and information sciences, FOS: Mathematics, Dynamical Systems (math.DS), Dynamical Systems, Machine Learning (cs.LG)

Access URL: https://pubmed.ncbi.nlm.nih.gov/41591855
http://arxiv.org/abs/2507.18220

Discrete gradient methods for port-Hamiltonian differential-algebraic equations

Authors: Philipp L. Kinon, Riccardo Morandin, Philipp Schulze

Source: Applied Numerical Mathematics, 223, 45–75

Subject Terms: ddc:620, FOS: Computer and information sciences, Numerical Analysis, Structure-preserving discretization, Computational Engineering, Finance, and Science, Differential-algebraic equations, Robotics, Numerical Analysis (math.NA), Systems and Control (eess.SY), Dynamical Systems (math.DS), Time integration methods, Dynamical Systems, Discrete gradients, Computational Engineering, Finance, and Science (cs.CE), FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Port-Hamiltonian systems, Robotics (cs.RO), Engineering & allied operations, 34A09, 65L80, 65P10, 70E55, 93C10, Systems and Control

File Description: application/pdf

Access URL: http://arxiv.org/abs/2505.18810
https://publikationen.bibliothek.kit.edu/1000189990/173848887
https://doi.org/10.5445/IR/1000189990
https://publikationen.bibliothek.kit.edu/1000189990

Non-stationary version of Furstenberg's Theorem on random matrix products

Authors: Gorodetski, Anton, Kleptsyn, Victor

Contributors: Kleptsyn, Victor

Source: Journal of the Association for Mathematical Research. 4:1-41

Subject Terms: [MATH.MATH-PR] Mathematics [math]/Probability [math.PR], Probability (math.PR), [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], 37H15, 37A50, 60F10, 60F15, 60B20, Dynamical Systems (math.DS), random matrix products, Furstenberg's theorem, 01 natural sciences, large deviations, FOS: Mathematics, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Mathematics - Dynamical Systems, 0101 mathematics, Mathematics - Probability

Access URL: http://arxiv.org/abs/2210.03805
https://hal.science/hal-03836234v1
https://doi.org/10.56994/jamr.004.001.001

Generalized Lyapunov Conditions for K-Contraction: Analysis and Feedback Design

Authors: Andreu Cecilia, Samuele Zoboli, Daniele Astolfi, Ulysse Serres, Vincent Andrieu

Contributors: Zoboli, Samuele

Source: IEEE Transactions on Automatic Control. 71:1022-1037

Subject Terms: [INFO.INFO-SY] Computer Science [cs]/Systems and Control [cs.SY], Contraction analysis, Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics, Linear Systems, Linear matrix inequalities, Compound matrices, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Systems and Control (eess.SY), Dynamical Systems (math.DS), Electrical Engineering and Systems Science - Systems and Control, Inertia Theorems, Nonlinear systems, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Dynamical Systems, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering, Inertia theorems

File Description: application/pdf

Access URL: http://arxiv.org/abs/2311.18388
https://hdl.handle.net/2117/456383
https://doi.org/10.1109/tac.2025.3605299
https://hal.science/hal-04300588v3
https://hal.science/hal-04300588v3/document
https://doi.org/10.1109/tac.2025.3605299

Learning from Imperfect Data: Robust Inference of Dynamic Systems Using Simulation-Based Generative Model

Authors: Hyunwoo Cho, Hyeontae Jo, Hyung Ju Hwang

Source: Proceedings of the AAAI Conference on Artificial Intelligence. 40:36645-36653

Subject Terms: Machine Learning, FOS: Computer and information sciences, FOS: Mathematics, Dynamical Systems (math.DS), 68T07, 68T05, 70G60, Dynamical Systems, Machine Learning (cs.LG)

Access URL: http://arxiv.org/abs/2507.10884

Causal Structure Learning for Dynamical Systems with Theoretical Score Analysis

Authors: Nicholas Tagliapietra, Katharina Ensinger, Christoph Zimmer, Osman Mian

Source: Proceedings of the AAAI Conference on Artificial Intelligence. 40:36740-36748

Subject Terms: Machine Learning, FOS: Computer and information sciences, I.2, Artificial Intelligence (cs.AI), Artificial Intelligence, FOS: Mathematics, Dynamical Systems (math.DS), Dynamical Systems, Machine Learning (cs.LG)

Access URL: http://arxiv.org/abs/2512.14361

Echoes of the Past: A Unified Perspective on Fading Memory and Echo States

Authors: Juan-Pablo Ortega, Florian Rossmannek

Source: Neural Computation. 38:765-782

Subject Terms: Machine Learning, FOS: Computer and information sciences, FOS: Mathematics, Machine Learning (stat.ML), Dynamical Systems (math.DS), 37N35, 68T05, 93B03, Dynamical Systems, Machine Learning (cs.LG)

Access URL: https://arxiv.org/abs/2508.19145
http://arxiv.org/abs/2508.19145

Hausdorff dimension of sets of generic points for non-statistical dynamical systems

Authors: DOUGLAS COATES, KATRIN GELFERT

Source: Ergodic Theory and Dynamical Systems. :1-29

Subject Terms: 37A05, 37C45 37A05, FOS: Mathematics, Dynamical Systems (math.DS), Dynamical Systems

Access URL: http://arxiv.org/abs/2509.00241

Boundedness criteria for real quivers of rank 3

Authors: Casals, Roger, Ke, Kenton

Source: Algebraic Combinatorics. 9:403-425

Subject Terms: Representation Theory, Combinatorics, FOS: Mathematics, Combinatorics (math.CO), Dynamical Systems (math.DS), Representation Theory (math.RT), 13F60, Dynamical Systems

Access URL: http://arxiv.org/abs/2505.16955

Transverse minimal foliations on unit tangent bundles and applications

Authors: Fenley, Sergio R., Potrie, Rafael

Source: Pacific Journal of Mathematics. 343:39-118

Subject Terms: Differential Geometry (math.DG), Geometric Topology, FOS: Mathematics, Geometric Topology (math.GT), Dynamical Systems (math.DS), Dynamical Systems, Differential Geometry

Access URL: http://arxiv.org/abs/2303.14525
https://arxiv.org/abs/2303.14525

A note on the factorization of iterated quadratics over finite fields

Authors: Goksel, Vefa

Source: Journal de théorie des nombres de Bordeaux. 38:163-178

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, 11T55, 37P25, 12E05, 20E08, Number Theory (math.NT), Dynamical Systems (math.DS), 0101 mathematics, Mathematics - Dynamical Systems, 01 natural sciences

Access URL: http://arxiv.org/abs/2203.15179