A new model reduction method for nonlinear dynamical systems

DOI10.1007/s11071-009-9531-yzbMath1183.70058OpenAlexW2028827347MaRDI QIDQ2380545

Nikolaos Kazantzis, Lemonia Syrou, Costas Kravaris

Publication date: 29 March 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9531-y

zbMATH Keywords

nonlinear dynamicsmodel reductioncomplex systemsslow manifoldssingular PDEs

Mathematics Subject Classification ID

Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (6)

Pragmatical adaptive synchronization of different orders chaotic systems with all uncertain parameters via nonlinear control ⋮ Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized relaxation redistribution method ⋮ A model-reduction method for nonlinear discrete-time skew-product dynamical systems in the presence of model uncertainty ⋮ Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations ⋮ Neural network closures for nonlinear model order reduction ⋮ Reduction of the small gain condition for large‐scale interconnections

Uses Software

• Maple

Cites Work

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