Výsledky vyhledávání - "Multiple scale methods for ordinary differential equations"

Slow Invariant Manifolds of Fast-Slow Systems of ODEs with Physics-Informed Neural Networks: Slow invariant manifolds of fast-slow systems of ODEs with physics-informed neural networks

Autoři: Dimitrios G. Patsatzis Lucia Russo Constantinos Siettos

Zdroj: SIAM Journal on Applied Dynamical Systems. 23:3077-3122

Témata: physics-informed neural networks, slow invariant manifolds, machine learning, numerical methods, Numerical methods for ordinary differential equations, Multiple scale methods for ordinary differential equations, Invariant manifolds for ordinary differential equations, fast-slow dynamical systems, Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.), Artificial neural networks and deep learning

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/7965867
https://doi.org/10.1137/24m1656402
https://hdl.handle.net/11588/991224
https://hdl.handle.net/20.500.14243/536142
https://doi.org/10.1137/24M1656402
https://hdl.handle.net/11588/991224
https://doi.org/10.1137/24m1656402

Nonlinear enhanced dissipation in viscous Burgers type equations II: Nonlinear enhanced dissipation in viscous Burgers-type equations

Autoři: Tej-Eddine Ghoul Nader Masmoudi Eliot Pacherie a další

Přispěvatelé: Tej-Eddine Ghoul Nader Masmoudi Eliot Pacherie a další

Zdroj: Communications in Partial Differential Equations. 48:1286-1322

Témata: enhanced dissipation, Asymptotic behavior of solutions to PDEs, Multiple scale methods for ordinary differential equations, [MATH] Mathematics [math], 01 natural sciences, viscous Burgers, 34E13, 35B35, 35B40, 35B41, Mathematics - Analysis of PDEs, FOS: Mathematics, Attractors, Initial value problems for second-order parabolic equations, 0101 mathematics, Stability in context of PDEs, Semilinear parabolic equations, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2211.16844
http://arxiv.org/abs/2211.16839
https://hal.science/hal-04303158v1
https://doi.org/10.1080/03605302.2023.2277453
https://zbmath.org/8036420
https://doi.org/10.4171/aihpc/122

Investigation on the Accuracy of Approximate Solutions Obtained by Perturbation Method for Galloping Equation of Iced Transmission Lines: Investigation on the accuracy of approximate solutions obtained by perturbation method for galloping equation of iced transmission lines

Autoři: Xiaohui Liu Shuguang Yang Guangyun Min a další

Zdroj: Mathematical Problems in Engineering. 2021:1-18

Témata: Averaging method for ordinary differential equations, 2. Zero hunger, 0103 physical sciences, General perturbation schemes for nonlinear problems in mechanics, Multiple scale methods for ordinary differential equations, 02 engineering and technology, 01 natural sciences, 0201 civil engineering

Popis souboru: application/xml; text/xhtml

Přístupová URL adresa: https://downloads.hindawi.com/journals/mpe/2021/6651629.pdf
https://zbmath.org/7463277
https://doi.org/10.1155/2021/6651629
https://www.hindawi.com/journals/mpe/2021/6651629/
http://downloads.hindawi.com/journals/mpe/2021/6651629.pdf
https://downloads.hindawi.com/journals/mpe/2021/6651629.pdf

Higher-order approximations in the averaging principle of multiscale systems

Autoři: Xin Li Qiuyu Wang Longjie Xie

Zdroj: Applied Mathematics Letters. 142:108651

Témata: Averaging method for ordinary differential equations, averaging principle, Singular perturbations for ordinary differential equations, higher-order approximation, Multiple scale methods for ordinary differential equations, Poisson equation, Stochastic ordinary differential equations (aspects of stochastic analysis), multiscale systems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7708814
https://doi.org/10.1016/j.aml.2023.108651

Characterizing two-timescale nonlinear dynamics using finite-time Lyapunov exponents and subspaces

Autoři: Ufuk Topcu Kenneth D. Mease Marco Maggia a další

Zdroj: Communications in Nonlinear Science and Numerical Simulation. 36:148-174

Témata: nonlinear dynamics, slow manifold, model reduction, Characteristic and Lyapunov exponents of ordinary differential equations, Multiple scale methods for ordinary differential equations, Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.), multiple timescales, center manifold, finite-time Lyapunov exponents

Popis souboru: application/xml

Přístupová URL adresa: http://manuscript.elsevier.com/S1007570415004001/pdf/S1007570415004001.pdf
https://dblp.uni-trier.de/db/journals/cnsns/cnsns36.html#MeaseTAM16
https://www.sciencedirect.com/science/article/pii/S1007570415004001
https://ui.adsabs.harvard.edu/abs/2016CNSNS..36..148M/abstract
https://doi.org/10.1016/j.cnsns.2015.11.021

Nonlinearity Saturation as a Singular Perturbation of the Nonlinear Schrödinger Equation: Nonlinearity saturation as a singular perturbation of the nonlinear Schrödinger equation

Autoři: Jordan Allen-Flowers Karl Glasner

Zdroj: SIAM Journal on Applied Mathematics. 76:525-550

Témata: multiple scales analysis, Soliton solutions, NLS equations (nonlinear Schrödinger equations), 0103 physical sciences, Multiple scale methods for ordinary differential equations, nonlinear Schrödinger equation, singular perturbation, 01 natural sciences, 7. Clean energy, Asymptotic expansions of solutions to PDEs, Singular perturbations in context of PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://epubs.siam.org/doi/abs/10.1137/15M1024974
https://arizona.pure.elsevier.com/en/publications/nonlinearity-saturation-as-a-singular-perturbation-of-the-nonline
https://locus.siam.org/doi/abs/10.1137/15M1024974
https://dblp.uni-trier.de/db/journals/siamam/siamam76.html#GlasnerA16

Multiscale singularly perturbed control systems: limit occupational measures sets and averaging: Multiscale singularly perturbed control systems: Limit occupational measures sets and averaging

Autoři: Minh Tuan Nguyen Vladimir Gaitsgory Maui, Hawaii 9-12 December, 2003 a další

Přispěvatelé: Minh Tuan Nguyen Vladimir Gaitsgory Maui, Hawaii 9-12 December, 2003 a další

Zdroj: 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475). 1:984-989

Témata: Averaging method for ordinary differential equations, multiscale singularly perturbed systems, 0209 industrial biotechnology, occupational measures, approximation of slow motions, averaging method, Multiple scale methods for ordinary differential equations, 02 engineering and technology, 01 natural sciences, Time-scale analysis and singular perturbations in control/observation systems, Singular perturbations for ordinary differential equations, limit occupational measures sets, nonlinear control, 0101 mathematics, Control problems involving ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://epubs.siam.org/doi/abs/10.1137/S0363012901393055
https://researchers.mq.edu.au/en/publications/multiscale-singularly-perturbed-control-systems-limit-occupationa-2
https://dblp.uni-trier.de/db/journals/siamco/siamco41.html#GaitsgoryN02
https://epubs.siam.org/doi/pdf/10.1137/S0363012901393055
https://researchers.mq.edu.au/en/publications/multiscale-singularly-perturbed-control-systems-limit-occupationa-3
https://researchers.mq.edu.au/en/publications/multiscale-singularly-perturbed-control-systems-limit-occupationa
https://hdl.handle.net/11541.2/114078

Nano boundary layers over stretching surfaces

Autoři: Van Gorder, Robert A. Sweet, Erik Vajravelu, K.

Zdroj: Communications in Nonlinear Science and Numerical Simulation. 15:1494-1500

Témata: VISCOUS-FLOW, Mathematical, Physics, Fluids & Plasmas, 4. Education, Non-Newtonian fluids, Nanofluidics, homotopy analysis method, Multiple scale methods for ordinary differential equations, Navier boundary condition, Mechanics, nanofluidics, 01 natural sciences, SLIP, BRANCH, PLATE, Applied, 0103 physical sciences, Stretching sheet, Interdisciplinary Applications, Homotopy Analysis Method, Numerical methods for ordinary differential equations, stretching sheet, EQUATIONS, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2010CNSNS..15.1494V/abstract
https://www.sciencedirect.com/science/article/pii/S1007570409003463

Numerical Simulation of Differential Systems Displaying Rapidly Oscillating Solutions: Numerical simulation of differential systems displaying rapidly oscillating solutions

Autoři: Roger Temam E. Simonnet I. Moise a další

Zdroj: Floating, Flowing, Flying ISBN: 9789048150496

Témata: Averaging method for ordinary differential equations, stiff oscillatory equations, averaging process, rapidly oscillating solutions, systems, Multiple scale methods for ordinary differential equations, Nonlinear ordinary differential equations and systems, Numerical methods for initial value problems involving ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1282085
https://doi.org/10.1023/a:1004337014272
https://rd.springer.com/chapter/10.1007/978-94-017-1564-5_12
https://link.springer.com/content/pdf/10.1023/A:1004337014272.pdf
https://link.springer.com/article/10.1023/A%3A1004337014272
https://ui.adsabs.harvard.edu/abs/1998JEnMa..34..203M/abstract

Parallel linear system solvers for Runge-Kutta methods

Autoři: van der Houwen, P.J. de Swart, J.J.B. Sydow, A.

Přispěvatelé: van der Houwen, P.J. de Swart, J.J.B. Sydow, A.

Zdroj: Advances in Computational Mathematics. 7:157-181

Témata: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, linear system solvers, stiff system, implicit Runge-Kutta methods, Multiple scale methods for ordinary differential equations, Parallel numerical computation, Nonlinear ordinary differential equations and systems, 0101 mathematics, parallel computation, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://pure.uva.nl/ws/files/3232062/3012_28702y.pdf
https://dare.uva.nl/personal/pure/en/publications/parallel-linear-system-solvers-for-rungekutta-methods(9f40e381-093a-4483-91cd-712a38b7686c).html
https://doi.org/10.1023/A:1018990601750
https://hdl.handle.net/11245/1.136532
https://dare.uva.nl/personal/pure/en/publications/parallel-linear-system-solvers-for-rungekutta-methods(c7a15c93-993f-49fc-9654-59cbfde1ace7).html
https://hdl.handle.net/11245/1.136533
https://dare.uva.nl/record/1/136532
https://www.narcis.nl/publication/RecordID/oai%3Acwi.nl%3A1349
https://link.springer.com/article/10.1023/A:1018990601750
http://oai.cwi.nl/oai/asset/1349/1349A.pdf
http://www.cwi.nl/system/files/u9/NM-R9616.pdf
https://dblp.uni-trier.de/db/journals/adcm/adcm7.html#HouwenS97

Asymptotic behaviour of solutions near a turning point: The example of the Brusselator equation: Asymptotic behaviour of solutions near a turning point: the example of the brusselator equation

Autoři: É. Matzinger

Zdroj: Journal of Differential Equations. 220:478-510

Témata: 0301 basic medicine, Stokes constant, 0209 industrial biotechnology, Canard solution, Multiple scale methods for ordinary differential equations, 02 engineering and technology, Turning point, Brusselator, turning point, 03 medical and health sciences, Matching of asymptotic expansions, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, Singular perturbation, Asymptotic expansions of solutions to ordinary differential equations, singular perturbation, matching of asymptotic expansions, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82000723
https://ui.adsabs.harvard.edu/abs/2006JDE...220..478M/abstract
https://www.sciencedirect.com/science/article/pii/S0022039605002159
https://www.sciencedirect.com/science/article/abs/pii/S0022039605002159

Computation of the normal forms for general M-DOF systems using multiple time scales. Part I: autonomous systems: Computation of the normal forms for general M-DOF systems using multiple time scales. I: Autonomous systems

Autoři: Pei Yu Songhui Zhu

Zdroj: Communications in Nonlinear Science and Numerical Simulation. 10:869-905

Témata: Normal form, MAPLE, 4. Education, Nonresonance, Multiple scale methods for ordinary differential equations, 16. Peace & justice, Resonance, 01 natural sciences, Perturbations, asymptotics of solutions to ordinary differential equations, 0103 physical sciences, Computer algebra, Software, source code, etc. for problems pertaining to ordinary differential equations, Nonlinear vibration, 0101 mathematics, Center manifold, Transformation and reduction of ordinary differential equations and systems, normal forms

Popis souboru: application/xml

Přístupová URL adresa: http://www.sciencedirect.com/science/article/pii/S100757040400125X
http://core.ac.uk/display/22180324
http://ui.adsabs.harvard.edu/abs/2005CNSNS..10..869Y/abstract
https://www.sciencedirect.com/science/article/pii/S100757040400125X

Two perspectives on reduction of ordinary differential equations

Autoři: Hans G. Kaper Tasso J. Kaper Antonios Zagaris

Zdroj: Mathematische Nachrichten. 278:1629-1642

Témata: dimension reduction, multiple time scales, Combustion, Nonlinear differential equations, computational singular perturbation, kinetic equations, Multiple scale methods for ordinary differential equations, Chemical kinetics in thermodynamics and heat transfer, normal form, slow manifold, Singular perturbations for ordinary differential equations, zero derivative principle, Transformation and reduction of ordinary differential equations and systems, normal forms, Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)

Popis souboru: application/xml

Přístupová URL adresa: http://math.bu.edu/people/tasso/zkk3-mathnach.pdf
http://math.bu.edu/INDIVIDUAL/tasso/zkk3-mathnach.pdf
https://core.ac.uk/display/21640019
http://www.mcs.anl.gov/uploads/cels/papers/P1223.pdf
https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200410328
https://www.mcs.anl.gov/uploads/cels/papers/P1223.pdf
https://www.narcis.nl/publication/RecordID/oai%3Acwi.nl%3A16301

Wave trains, self-oscillations and synchronization in discrete media

Autoři: Ana Carpio

Zdroj: Physica D: Nonlinear Phenomena. 207:117-136

Témata: wave trains, oscillators, Nonlinear oscillations and coupled oscillators for ordinary differential equations, FOS: Physical sciences, nonlinear waves, Multiple scale methods for ordinary differential equations, discrete media, Asymptotic properties of solutions to ordinary differential equations, 01 natural sciences, Condensed Matter - Other Condensed Matter, excitable media, 0103 physical sciences, 0101 mathematics, Other Condensed Matter (cond-mat.other)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/cond-mat/0506119
http://arxiv.org/abs/cond-mat/0506119
https://zbmath.org/2211376
https://doi.org/10.1016/j.physd.2005.06.004
https://core.ac.uk/display/21067385
http://www.sciencedirect.com/science/article/pii/S0167278905002307
https://eprints.ucm.es/id/eprint/14961/
http://www.mat.ucm.es/~acarpio/archivos_pdfs/morrislecar9.pdf
https://arxiv.org/pdf/cond-mat/0506119
https://ui.adsabs.harvard.edu/abs/2005PhyD..207..117C/abstract

Oscillation of perturbed nonlinear dynamic equations on time scales

Autoři: Wan-Tong Li Hong-Rui Sun

Zdroj: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 85:755-760

Témata: time scales, Multiple scale methods for ordinary differential equations, oscillation, 0101 mathematics, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, 01 natural sciences, Additive difference equations, dynamic equation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2213254
https://doi.org/10.1002/zamm.200310212
http://ui.adsabs.harvard.edu/abs/2005ZaMM...85..755S/abstract

A linearized heat‐conducting fluid and its quasi‐static approximation: A linearized heat-conducting fluid and its quasi-static approximation

Autoři: Richard J. Weinacht

Zdroj: Mathematical Methods in the Applied Sciences. 28:1781-1818

Témata: heat-conducting fluid, linearized flow, Free boundary problems for PDEs, Multiple scale methods for ordinary differential equations, quasi-static approximation, 0101 mathematics, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2005MMAS...28.1781W/abstract

A geometric treatment of Jellett's egg

Autoři: Bou-Rabee, Nawaf M. Marsden, Jerrold E. Romero, Louis A.

Zdroj: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 85:618-642

Témata: Simulation of dynamical systems, Dynamical systems in classical and celestial mechanics, Multiple scale methods for ordinary differential equations, Problems involving a system of particles with friction, Global stability of solutions to ordinary differential equations, 01 natural sciences, jellett momentum map, dissipation induced instability, rising egg, adiabatic invariants, Jellett momentum map, Motion of a rigid body in contact with a solid surface, 0103 physical sciences, Symmetries, invariants, invariant manifolds, momentum maps, reduction, dissipation-induced instability, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://www.cds.caltech.edu/~marsden/bib/2005/09-BoMaRo2005/BoMaRo2005.pdf
https://zbmath.org/2207017
https://doi.org/10.1002/zamm.200410207
https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.200410207
https://core.ac.uk/display/4885293
https://www.cds.caltech.edu/~marsden/bib/2005/09-BoMaRo2005/BoMaRo2005.pdf
https://www.researchwithrutgers.com/en/publications/a-geometric-treatment-of-jelletts-egg
http://ui.adsabs.harvard.edu/abs/2005ZaMM...85..618B/abstract
https://authors.library.caltech.edu/19070/

Asymptotic expansions using blow-up

Autoři: S. A. van Gils Martin Krupa Peter Szmolyan

Zdroj: Zeitschrift für angewandte Mathematik und Physik. 56:369-397

Témata: invariant manifolds, matching, Blow-up, METIS-226015, Multiple scale methods for ordinary differential equations, Invariant manifold theory for dynamical systems, asymptotic expansions, 01 natural sciences, EWI-14018, relaxation oscillations, IR-72130, 0103 physical sciences, Singular perturbations for ordinary differential equations, invariant manifold, jump point, 0101 mathematics, Singular perturbation, Asymptotic expansions of solutions to ordinary differential equations, singular perturbation, blow-up

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/11475620
https://www.narcis.nl/publication/RecordID/oai%3Aris.utwente.nl%3Apublications%2F8f50adcd-9b3a-4a5c-b012-08c73a315707
https://utwente-staging.elsevierpure.com/en/publications/asymptotic-expansions-using-blow-up
https://link.springer.com/article/10.1007/s00033-004-1021-y
http://ui.adsabs.harvard.edu/abs/2005ZaMP...56..369G/abstract
https://research.utwente.nl/en/publications/asymptotic-expansions-using-blow-up

Multiple time-scales in nonlinear flight mechanics: diagnosis and modeling

Autoři: Kenneth D. Mease

Zdroj: Applied Mathematics and Computation. 164:627-648

Témata: Time-scales, Nonlinear dynamics in mechanics, 0203 mechanical engineering, 0103 physical sciences, Nonlinear systems, Dynamical systems in classical and celestial mechanics, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, Multiple scale methods for ordinary differential equations, 02 engineering and technology, Singular perturbations, 01 natural sciences

Popis souboru: application/xml

Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium

Autoři: Gendelman, Oleg V. Lamarque, Claude-Henri

Přispěvatelé: Gendelman, Oleg V. Lamarque, Claude-Henri

Zdroj: Chaos, Solitons & Fractals. 24:501-509

Témata: [PHYS.MECA.VIBR] Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph], 0209 industrial biotechnology, 0103 physical sciences, Nonlinear oscillations and coupled oscillators for ordinary differential equations, [SPI.MECA.VIBR] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph], Multiple scale methods for ordinary differential equations, 02 engineering and technology, Nonlinear resonances for nonlinear problems in mechanics, 7. Clean energy, 01 natural sciences, Nonlinear modes

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0960077904005375
http://www.sciencedirect.com/science/article/pii/S0960077904005375
https://ideas.repec.org/a/eee/chsofr/v24y2005i2p501-509.html
https://hal.archives-ouvertes.fr/hal-00815092
https://ui.adsabs.harvard.edu/abs/2005CSF....24..501G/abstract