Kahan–Hirota–Kimura maps preserving original cubic Hamiltonians

Authors: Mañosa Fernández, Víctor, Pantazi, Chara

Source: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Subject Terms: Àrees temàtiques de la UPC::Matemàtiques i estadística, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 37J35, 37J11, 37J70, 37M15, 14E05, FOS: Physical sciences, Dynamical Systems (math.DS), Kahan-Hirota-Kimura discretization, Lie Symmetries, Hamiltonian vector fields, Symplectic maps, FOS: Mathematics, Mathematics - Dynamical Systems, Exactly Solvable and Integrable Systems (nlin.SI), Integrable maps, Kahan–Hirota–Kimura discretization

File Description: application/pdf

Access URL: http://arxiv.org/abs/2405.01321
https://ddd.uab.cat/record/313598
https://arxiv.org/abs/2405.01321
https://hdl.handle.net/2117/432833
https://doi.org/10.1016/j.matcom.2025.05.002

Hopf bifurcation in a generalized Goodwin model with delay

Authors: Eysan Sans, Melisa Akdemir, Ayse Tiryakioglu, Ayse Peker-Dobie, Cihangir Ozemir

Source: Mathematics and Computers in Simulation. 237:86-106

Subject Terms: 37C75, 91B62, 37G05, 37N40, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2411.16383

Generalized replicator dynamics based on mean-field pairwise comparison dynamic

Authors: Hidekazu Yoshioka

Source: Mathematics and Computers in Simulation. 236:200-220

Subject Terms: Optimization and Control (math.OC), FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2407.20751

Automatic Implementation of Neural Networks Through Reaction Networks—Part I: Circuit Design and Convergence Analysis

Authors: Yuzhen Fan, Xiaoyu Zhang, Chuanhou Gao, Denis Dochain

Source: IEEE Transactions on Automatic Control. 70:6356-6371

Subject Terms: FOS: Computer and information sciences, Computer Science - Machine Learning, FOS: Mathematics, Computer Science - Neural and Evolutionary Computing, Dynamical Systems (math.DS), Neural and Evolutionary Computing (cs.NE), Mathematics - Dynamical Systems, Machine Learning (cs.LG)

Access URL: http://arxiv.org/abs/2311.18313

Portraits of quadratic rational maps with a small critical cycle

Authors: Tyler Dunaisky, David Krumm

Source: Journal of Number Theory. 275:135-159

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Dynamical Systems (math.DS), Number Theory (math.NT), Mathematics - Dynamical Systems, 37P05, 11G30

Access URL: http://arxiv.org/abs/2404.00731

Applications of Induced Tensor Norms to Guidance Navigation and Control

Authors: Kulik, Jackson, Orton-Urbina, Cedric, Ruth, Maximilian, Savransky, Dmitry

Source: Journal of Guidance, Control, and Dynamics. 48:2180-2198

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

Access URL: http://arxiv.org/abs/2408.15362

Automatic Implementation of Neural Networks Through Reaction Networks—Part II: Error Analysis

Authors: Yuzhen Fan, Xiaoyu Zhang, Chuanhou Gao, Denis Dochain

Source: IEEE Transactions on Automatic Control. 70:6372-6387

Subject Terms: Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2401.07077

Algorithm to Find New Identifiable Reparameterizations of Parameteric Rational ODE Models

Authors: Nicolette Meshkat, Alexey Ovchinnikov, Thomas Scanlon

Source: IEEE Transactions on Automatic Control. 70:6688-6703

Subject Terms: Mathematics - Algebraic Geometry, FOS: Biological sciences, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Systems and Control (eess.SY), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 92B05, 93C15, 93B25, 93B30, 34A55, 12H05, 03C40, 03C60, Electrical Engineering and Systems Science - Systems and Control, Quantitative Biology - Quantitative Methods, Algebraic Geometry (math.AG), Quantitative Methods (q-bio.QM)

Access URL: http://arxiv.org/abs/2310.03057

Learning Regions of Attraction in Unknown Dynamical Systems via Zubov–Koopman Lifting: Regularities and Convergence

Authors: Yiming Meng, Ruikun Zhou, Jun Liu

Source: IEEE Transactions on Automatic Control. 70:6672-6687

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2311.15119

Orbital cohomology and Kähler rigidity

Authors: Savini, A

Source: Séminaire de théorie spectrale et géométrie. 37:111-135

Subject Terms: FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, 01 natural sciences, orbital cohomology, measurable cocycle, Hermitian symmetric space

File Description: application/pdf

Access URL: http://arxiv.org/abs/2209.09109
https://hdl.handle.net/10281/562441
https://doi.org/10.5802/tsg.384

Coalescing Force of Group Pressure: Consensus in Nonlinear Opinion Dynamics

Authors: Zabarianska, Iryna, Proskurnikov, Anton V.

Source: 2025 American Control Conference (ACC). :2943-2948

Subject Terms: FOS: Computer and information sciences, Physics - Physics and Society, FOS: Physical sciences, Physics and Society (physics.soc-ph), Systems and Control (eess.SY), Dynamical Systems (math.DS), Electrical Engineering and Systems Science - Systems and Control, Optimization and Control (math.OC), FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Computer Science - Multiagent Systems, Mathematics - Dynamical Systems, Mathematics - Optimization and Control, Multiagent Systems (cs.MA)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2410.04301
https://ieeexplore.ieee.org/document/11108099
https://hdl.handle.net/11583/3002767
https://doi.org/10.23919/acc63710.2025.11108099

Obstacles to topological factoring of Toeplitz shifts

Authors: Hosseini, Maryam, Yassawi, Reem

Source: Discrete and Continuous Dynamical Systems. 46:413-432

Subject Terms: 37B10, 37B05, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2412.04422

Linear stability of inner case of double averaged spatial restricted elliptic three-body problem

Authors: Huang, Xiumin, Luo, Yan, Sheng, Kaicheng, Ye, Yiru

Source: Discrete and Continuous Dynamical Systems. 46:195-208

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

Access URL: http://arxiv.org/abs/2312.08059

On an inverse tridiagonal eigenvalue problem and its application to synchronization of network motion

Authors: Luca Dieci, Cinzia Elia, Alessandro Pugliese

Source: Linear Algebra and its Applications. 728:26-46

Subject Terms: 65F18, 15A18, FOS: Mathematics, Mathematics - Numerical Analysis, Dynamical Systems (math.DS), Numerical Analysis (math.NA), Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2408.01066

Inducing contractions of the mother of all continued fractions

Authors: Karma Dajani, Cor Kraaikamp, Slade Sanderson

Source: Journal of Number Theory. 278:816-874

Subject Terms: Natural extension, Contraction, Induced transformation, Mathematics - Number Theory, Continued fractions, 11A55 (Primary) 37A05, 37A44 (Secondary), FOS: Mathematics, Number Theory (math.NT), Dynamical Systems (math.DS), Ergodic theory, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/2504.02350
https://research-portal.uu.nl/en/publications/c07ad345-ce79-4e25-bbc4-6beb4d0d4865
https://doi.org/10.1016/j.jnt.2025.05.015

Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds

Authors: Cantoral, Alexander, Romaña, Sergio

Source: Discrete and Continuous Dynamical Systems. 46:387-412

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

Access URL: http://arxiv.org/abs/2409.03207

Streams, graphs and global attractors of dynamical systems on locally compact spaces

Authors: De Leo, Roberto, Yorke, James A.

Source: Discrete and Continuous Dynamical Systems. 47:308-340

Subject Terms: FOS: Mathematics, FOS: Physical sciences, Dynamical Systems (math.DS), Mathematical Physics (math-ph), Mathematics - Dynamical Systems, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, Mathematical Physics

Access URL: http://arxiv.org/abs/2503.02262

Counting problem for some random conformal iterated function systems

Authors: Naderiyan, Hamid

Source: Discrete and Continuous Dynamical Systems. 47:1-20

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

Access URL: http://arxiv.org/abs/2409.19263

Intersection of orbits for polynomials in characteristic p

Authors: Coccia, Simone, Ghioca, Dragos, Lee, Jungin, Nam, Gyeonghyeon

Source: Journal of Number Theory. 278:112-127

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

Access URL: http://arxiv.org/abs/2408.06937

Sensitivity of Optimal Control Solutions and Quantities of Interest with Respect to Component Functions

Authors: Cangelosi, Jonathan R., Heinkenschloss, Matthias

Subject Terms: Mathematics - Optimization and Control, Mathematics - Dynamical Systems, 49K40, 49J50, 93C73

Access URL: http://arxiv.org/abs/2506.10804