Výsledky vyhledávání - "Approximation methods and numerical treatment of dynamical systems"

Time-Domain Iterative Rational Krylov Method: Time-domain iterative rational Krylov method

Autoři: Michael S. Ackermann Serkan Gugercin

Zdroj: SIAM Journal on Scientific Computing. 47:A1628-A1651

Témata: data informativity, optimal data-driven modeling, Numerical linear algebra, eigenvalues, rational interpolation, Numerical Analysis (math.NA), Approximation methods and numerical treatment of dynamical systems, Approximation by rational functions, Large-scale systems, Realizations from input-output data, Computational methods for problems pertaining to systems and control theory, FOS: Mathematics, transfer function, Mathematics - Numerical Analysis, Frequency-response methods in control theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2407.12670

Frequency-Based Reduced Models from Purely Time-Domain Data via Data Informativity: Frequency-based reduced models from purely time-domain data via data informativity

Autoři: Michael S. Ackermann Serkan Gugercin

Zdroj: SIAM Journal on Scientific Computing. 47:A1225-A1250

Témata: data informativity, Numerical linear algebra, moment matching, rational interpolation, Numerical Analysis (math.NA), Approximation methods and numerical treatment of dynamical systems, Approximation by rational functions, data-driven modeling, Large-scale systems, Realizations from input-output data, Computational methods for problems pertaining to systems and control theory, FOS: Mathematics, transfer function, Mathematics - Numerical Analysis

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2311.05012
https://zbmath.org/8030731
https://doi.org/10.1137/23m1624130

Limits of Learning Dynamical Systems: Limits of learning dynamical systems

Autoři: Tyrus Berry Suddhasattwa Das

Zdroj: SIAM Review. 67:107-137

Témata: iterative forecast, Learning and adaptive systems in artificial intelligence, 37M99, 37N30, 37A20, 37D25, Dynamical Systems (math.DS), reservoir computing, direct forecast, Approximation methods and numerical treatment of dynamical systems, matrix cocycle, Dynamical systems in numerical analysis, delay coordinates, stochastic stability, FOS: Mathematics, mixing, Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.), Mathematics - Dynamical Systems, Lyapunov exponent

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2409.13493

Semi-analytic modeling and experimental verification of arbitrary aero-engine complex spatial pipeline

Autoři: Weijiao Chen Ziwei Guo Shuo Chen a další

Zdroj: Applied Mathematical Modelling. 131:505-534

Témata: complex spatial pipeline, Coupling of solid mechanics with other effects, semi-analytical model, Dynamical problems in solid mechanics, bracket-clamp support, Approximation methods and numerical treatment of dynamical systems, pipeline vibration analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7991741
https://doi.org/10.1016/j.apm.2024.04.003

Synchronization in multiplex networks

Autoři: Wu, Xiaoqun Wu, Xiuqi Wang, Chong-Yang a další

Zdroj: Physics Reports. 1060:1-54

Témata: intralayer synchronization, interlayer synchronization, Neural networks for/in biological studies, artificial life and related topics, multiplex networks, synchronization, Approximation methods and numerical treatment of dynamical systems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7855917
https://doi.org/10.1016/j.physrep.2024.01.005

Capturing the short-term characteristics of a barred galaxy from a single snapshot

Autoři: Sánchez Martín, Patricia Amorós Torrent, Jaume Masdemont Soler, Josep

Zdroj: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Témata: Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics, Astrophysics of Galaxies, Topological data analysis, FOS: Physical sciences, Dynamical Systems (math.DS), Applications of dynamical systems, Invariant manifold theory for dynamical systems, Sistemes dinàmics diferenciables, Galactic and stellar structure modelling, Dynamical Systems, Astrophysics of Galaxies (astro-ph.GA), Persistent homology and applications, Celestial mechanics, FOS: Mathematics, Differentiable dynamical systems, Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems, 37N05, 37D10, 70F15, 55N31, 85A05, Galactic and stellar dynamics

Popis souboru: application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2502.02612

Nonlinear Reduced Modeling of Dynamical Systems Using Kernel Methods and Low-Rank Approximation: Nonlinear reduced modeling of dynamical systems using kernel methods and low-rank approximation

Autoři: Héas, P. Herzet, C. Combès, B.

Zdroj: Journal of Nonlinear Science. 35

Témata: FOS: Computer and information sciences, kernel methods, nonlinear dynamics, reduced modeling, Statistics - Machine Learning, low-rank approximations, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Numerical problems in dynamical systems, Machine Learning (stat.ML), 02 engineering and technology, 01 natural sciences, Approximation methods and numerical treatment of dynamical systems

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1710.10919

Multifractal detrended fluctuation and rank-based analyses of time series generated by unbiased random walks on complex networks

Autoři: Yuan, Bo Liu, Jin-Long Yu, Zu-Guo a další

Zdroj: Communications in Nonlinear Science and Numerical Simulation. 147:108831

Témata: Biology and other natural sciences, multifractal detrended fluctuation analysis, complex networks, time series, Small world graphs, complex networks (graph-theoretic aspects), Operations research and management science, Approximation methods and numerical treatment of dynamical systems, rank-based analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8035195
https://doi.org/10.1016/j.cnsns.2025.108831

Compressive‐Sensing‐Assisted Mixed Integer Optimization for Dynamical System Discovery With Highly Noisy Data: Compressive-sensing-assisted mixed integer optimization for dynamical system discovery with highly noisy data

Autoři: Tony Shi Mason Ma Hoang Tran a další

Zdroj: Numerical Methods for Partial Differential Equations. 41

Témata: 0301 basic medicine, Artificial intelligence, mixed-integer optimization, 0303 health sciences, 03 medical and health sciences, machine learning, Linear inference, regression, compressive sensing, dynamical systems, model discovery, Approximation methods and numerical treatment of dynamical systems

Popis souboru: application/xml

Quantum scars and caustics in Majorana billiards

Autoři: Johanna Zijderveld A. Mert Bozkurt Michael Wimmer a další

Zdroj: SciPost Physics, Vol 17, Iss 5, p 147 (2024)

Témata: 0301 basic medicine, 0303 health sciences, Condensed Matter - Mesoscale and Nanoscale Physics, Physics, QC1-999, Condensed Matter - Superconductivity, FOS: Physical sciences, Approximation methods and numerical treatment of dynamical systems, Superconductivity (cond-mat.supr-con), Foundations, quantum information and its processing, quantum axioms, and philosophy, 03 medical and health sciences, General mathematical topics and methods in quantum theory, Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2312.13368
https://zbmath.org/7982738
https://doi.org/10.21468/scipostphys.17.5.147
https://doaj.org/article/ac9c2f6e71f446f985b12afb1f76aef5

Discovery of Governing Equations with Recursive Deep Neural Networks: Discovery of governing equations with recursive deep neural networks

Autoři: Jarrod Mau Jia Zhao

Zdroj: Communications on Applied Mathematics and Computation. 7:239-263

Témata: FOS: Computer and information sciences, Computer Science - Machine Learning, deep neural networks (DNNs), recursive, FOS: Physical sciences, Numerical Analysis (math.NA), model discovery, dynamical systems, Computational Physics (physics.comp-ph), Neural networks for/in biological studies, artificial life and related topics, 01 natural sciences, Approximation methods and numerical treatment of dynamical systems, Machine Learning (cs.LG), Dynamical systems in numerical analysis, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Physics - Computational Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2009.11500
https://zbmath.org/7996408
https://doi.org/10.1007/s42967-023-00270-0

Higher Order Extended Dynamic Mode Decomposition Based on the Structured Total Least Squares: Higher order extended dynamic mode decomposition based on the structured total least squares

Autoři: Ding, Weiyang Li, Jie

Zdroj: SIAM Journal on Scientific Computing. 45:A985-A1011

Témata: iteration acceleration, multiple trajectory analysis, dynamic mode decomposition, total least squares, Approximation methods and numerical treatment of dynamical systems, dynamical system

Popis souboru: application/xml

Data-driven optimal prediction with control

Autoři: Aleksandr Katrutsa Ivan Oseledets Sergey Utyuzhnikov

Zdroj: Katrutsa, A, Oseledets, I & Utyuzhnikov, S 2025, 'Data-driven optimal prediction with control', Communications in Nonlinear Science and Numerical Simulation, vol. 143, no. 4, 108641, pp. 1-10. https://doi.org/10.1016/j.cnsns.2025.108641

Témata: 37M99, 37M10, 37N35, 37N10, 65P99, optimal prediction, Dynamical Systems (math.DS), Systems and Control (eess.SY), Optimal prediction, Electrical Engineering and Systems Science - Systems and Control, Approximation methods and numerical treatment of dynamical systems, Dynamical systems in control, Dynamic mode decomposition, Dynamical systems in fluid mechanics, oceanography and meteorology, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Numerical problems in dynamical systems, dynamic mode decomposition, Time series analysis of dynamical systems, Mori-Zwanzig representation, Mathematics - Dynamical Systems

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2406.01991
https://pure.manchester.ac.uk/ws/files/359744844/opt_prediction_control2024siads.pdf
https://doi.org/10.1016/j.cnsns.2025.108641
https://research.manchester.ac.uk/en/publications/470d83f9-faa5-4b08-a558-c59fa66e83bd
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=pure_starter&SrcAuth=WosAPI&KeyUT=WOS:001419782800001&DestLinkType=FullRecord&DestApp=WOS_CPL

Research on parameter identification of transmission line galloping model under different degrees of freedom

Autoři: Xiaohui Liu Libing Chen Chuan Wu a další

Zdroj: Applied Mathematical Modelling. 140:115899

Témata: Controllability, observability, and system structure, parameter identification, Linear inference, regression, quad bundle, data-driven, transmission line, Approximation methods and numerical treatment of dynamical systems, galloping model

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8027045
https://doi.org/10.1016/j.apm.2024.115899

Semi‐implicit method of high‐index saddle dynamics and application to construct solution landscape: Semi-implicit method of high-index saddle dynamics and application to construct solution landscape

Autoři: Yue Luo Lei Zhang Pingwen Zhang a další

Zdroj: Numerical Methods for Partial Differential Equations. 40

Témata: saddle point, saddle dynamics, solution landscape, error estimate, Numerical Analysis (math.NA), GMRES, 01 natural sciences, Approximation methods and numerical treatment of dynamical systems, 37M05, 37N30, 65L20, semi-implicit scheme, FOS: Mathematics, Numerical problems in dynamical systems, Mathematics - Numerical Analysis, 0101 mathematics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2310.04643

Misreported longitudinal data in epidemiology: Review of mixture-based advances and current challenges

Autoři: Moriña, David Fernandez Fontelo, Amanda Cabaña Nigro, Ana Alejandra a další

Přispěvatelé: Moriña, David Fernandez Fontelo, Amanda Cabaña Nigro, Ana Alejandra a další

Zdroj: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Témata: Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística aplicada::Estadística biosanitària, 46 Associative rings and algebras::46N Miscellaneous applications of functional analysis [Classificació AMS], Public health, Matemàtiques i estadística::Estadística aplicada::Estadística biosanitària [Àrees temàtiques de la UPC], Epidemiology, Longitudinal data, 92 Biology and other natural sciences::92D Genetics and population dynamics [Classificació AMS], 62 Statistics::62P Applications [Classificació AMS], Epidemiologia -- Models matemàtics, 01 natural sciences, Modelling, Classificació AMS::62 Statistics::62P Applications, Classificació AMS::46 Associative rings and algebras::46N Miscellaneous applications of functional analysis, 3. Good health, Misreported data, 03 medical and health sciences, Classificació AMS::92 Biology and other natural sciences::92D Genetics and population dynamics, 0302 clinical medicine, Epidemiology -- Mathematical models, Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems, 37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems [Classificació AMS], 0101 mathematics

Popis souboru: application/pdf

Přístupová URL adresa: https://hdl.handle.net/2117/363432
https://doi.org/10.37830/sjs.2021.1.03

$L^\infty$-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition: \( L^\infty\)-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition

Autoři: Köhne, Frederik Philipp, Friedrich M. Schaller, Manuel a další

Témata: Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Linear composition operators, Numerical radial basis function approximation, Dynamical Systems (math.DS), Numerical Analysis (math.NA), Approximation methods and numerical treatment of dynamical systems, interpolation, kernel EDMD, 37M99, 41A05, 47B32, 47B33, 65D12, FOS: Mathematics, regression, uniform error bounds, Mathematics - Numerical Analysis, Mathematics - Dynamical Systems, Koopman operator, reproducing kernel Hilbert space, Interpolation in approximation theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2403.18809

Kahan-Hirota-Kimura maps preserving original cubic hamiltonians

Autoři: Mañosa Fernández, Víctor Pantazi, Chara Universitat Politècnica de Catalunya. Departament de Matemàtiques a další

Přispěvatelé: Mañosa Fernández, Víctor Pantazi, Chara Universitat Politècnica de Catalunya. Departament de Matemàtiques a další

Zdroj: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Témata: Classificació AMS::14 Algebraic geometry::14E Birational geometry, Sistemes dinàmics diferenciables, Kahan-Hirota-Kimura discretization, Lie Symmetries, Hamiltonian vector fields, Symplectic maps, Differentiable dynamical systems, Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems, and nonholonomic systems, Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems, Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, Integrable maps, Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals

Popis souboru: application/pdf

Přístupová URL adresa: https://hdl.handle.net/2117/407838
https://hdl.handle.net/2117/407838
https://arxiv.org/abs/2405.01321

Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters

Autoři: Baldomá Barraca, Inmaculada Fontich Julia, Ernest Martín de la Torre, Pablo a další

Přispěvatelé: Baldomá Barraca, Inmaculada Fontich Julia, Ernest Martín de la Torre, Pablo a další

Zdroj: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Articles publicats en revistes (Matemàtiques i Informàtica)
Dipòsit Digital de la UB
instname

Témata: Anàlisi numèrica, Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics, Dynamical Systems (math.DS), Ergodic theory, Sistemes dinàmics diferenciables, Teoria ergòdica, 01 natural sciences, Sistemes dinàmics hiperbòlics, Classificació AMS::37 Dynamical systems and ergodic theory::37D Dynamical systems with hyperbolic behavior, FOS: Mathematics, Differentiable dynamical systems, Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems, Equacions diferencials ordinàries, Hyperbolic dynamical systems, Mathematics - Dynamical Systems, 0101 mathematics, Ordinary differential equations, Numerical analysis

Popis souboru: application/pdf

Přístupová URL adresa: http://arxiv.org/pdf/1603.02533
http://arxiv.org/abs/1603.02533
https://hdl.handle.net/2445/193627
https://ui.adsabs.harvard.edu/abs/2016arXiv160302533B/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0022039619306369
http://hdl.handle.net/2445/193627

Estudi de la dinàmica del model neuronal de Jansen-Rit i la seva incorporació en models de cervell a gran escala

Autoři: Guivernau Roses, Daniel Clusella Coberó, Pau Huguet Casades, Gemma a další

Přispěvatelé: Guivernau Roses, Daniel Clusella Coberó, Pau Huguet Casades, Gemma a další

Zdroj: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Témata: Àrees temàtiques de la UPC::Matemàtiques i estadística, sistemes complexos, neurociència matemàtica, Sistemes dinàmics diferenciables, dinàmica no-lineal, sistemes dinàmics, columna cortical, Computational neuroscience, inestabilitat transversal, Differentiable dynamical systems, model de Jansen-Rit, Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems, bifurcacions, oscil·lacions cerebrals, models de massa neuronal, Neurociència computacional

Popis souboru: application/pdf

Přístupová URL adresa: https://hdl.handle.net/2117/423034