A new model reduction method for nonlinear dynamical systems

Nikolaos Kazantzis; Costas Kravaris; Lemonia Syrou

doi:10.1007/s11071-009-9531-y

A new model reduction method for nonlinear dynamical systems

Nonlinear Dynamics ◽

10.1007/s11071-009-9531-y ◽

2009 ◽

Vol 59 (1-2) ◽

pp. 183-194 ◽

Cited By ~ 16

Author(s):

Nikolaos Kazantzis ◽

Costas Kravaris ◽

Lemonia Syrou

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Reduction Method ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

New Model

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A New Model Reduction Method for Nonlinear Dynamical Systems Using Singular PDE Theory

Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena ◽

10.1007/3-540-35888-9_1 ◽

2006 ◽

pp. 3-15 ◽

Cited By ~ 3

Author(s):

N. Kazantzis ◽

C. Kravaris

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Reduction Method ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

New Model ◽

Singular Pde

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Rapid data-driven model reduction of nonlinear dynamical systems including chemical reaction networks using ℓ1-regularization

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5139463 ◽

2020 ◽

Vol 30 (5) ◽

pp. 053122

Author(s):

Q. Yang ◽

C. A. Sing-Long ◽

E. J. Reed

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Chemical Reaction ◽

Nonlinear Dynamical Systems ◽

Chemical Reaction Networks ◽

Data Driven ◽

Reaction Networks ◽

Nonlinear Dynamical ◽

ℓ1 Regularization

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Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2020.132614 ◽

2020 ◽

Vol 412 ◽

pp. 132614

Author(s):

Han Gao ◽

Jian-Xun Wang ◽

Matthew J. Zahr

Keyword(s):

Deep Learning ◽

Dynamical Systems ◽

Model Reduction ◽

Large Scale ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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A New Framework for Model Reduction of Complex Nonlinear Dynamical Systems

10.23860/diss-ilbeigi-shahab-2017 ◽

2017 ◽

Author(s):

◽

Shahab Ilbeigi

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

New Framework

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Model Reduction and Stability of Nonlinear Dynamical Systems by means of Centre Manifold Theory

Advances in Simulation - Systems Analysis and Simulation I ◽

10.1007/978-1-4684-6389-7_31 ◽

1988 ◽

pp. 159-162

Author(s):

Reinhard Boettner

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Nonlinear Dynamical Systems ◽

Centre Manifold ◽

Nonlinear Dynamical ◽

Manifold Theory

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Nonlinear Galerkin methods for the model reduction of nonlinear dynamical systems

Computers & Structures ◽

10.1016/s0045-7949(03)00042-7 ◽

2003 ◽

Vol 81 (12) ◽

pp. 1277-1286 ◽

Cited By ~ 20

Author(s):

Hermann G Matthies ◽

Marcus Meyer

Keyword(s):

Dynamical Systems ◽

Model Reduction ◽

Nonlinear Dynamical Systems ◽

Galerkin Methods ◽

Nonlinear Dynamical ◽

Nonlinear Galerkin Methods

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Order-reduction method for nonlinear dynamical systems

Electronics Letters ◽

10.1049/el:19920416 ◽

1992 ◽

Vol 28 (7) ◽

pp. 658 ◽

Cited By ~ 3

Author(s):

B. Lohmann

Keyword(s):

Dynamical Systems ◽

Reduction Method ◽

Nonlinear Dynamical Systems ◽

Order Reduction ◽

Nonlinear Dynamical ◽

Order Reduction Method

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Noise in Nonlinear Dynamical Systems

10.1017/cbo9780511897825 ◽

1989 ◽

Cited By ~ 9

Keyword(s):

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical

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Control Synthesis for Linear and Nonlinear Dynamical Systems under Bounded Measurement Errors of a State Vector

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v48.i1.20 ◽

2016 ◽

Vol 48 (1) ◽

pp. 2-14

Author(s):

Vsevolod M. Kuntsevich

Keyword(s):

Dynamical Systems ◽

State Vector ◽

Measurement Errors ◽

Nonlinear Dynamical Systems ◽

Control Synthesis ◽

Nonlinear Dynamical ◽

Linear And Nonlinear

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Discrepancy Driven Adaptive Monte Carlo for Forward Uncertainty Forecasting in Nonlinear Dynamical Systems

2018 Annual American Control Conference (ACC) ◽

10.23919/acc.2018.8431731 ◽

2018 ◽

Cited By ~ 2

Author(s):

Chao Yang ◽

Mrinal Kumar

Keyword(s):

Monte Carlo ◽

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical ◽

Adaptive Monte Carlo

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