Dimension Reduction of Dynamical Systems: Methods, Models, Applications Giuseppe RegaHans Troger OriginalPaper Pages: 1 - 15
Component Mode Synthesis Using Nonlinear Normal Modes Polarit ApiwattanalunggarnSteven W. ShawChristophe Pierre OriginalPaper Pages: 17 - 46
Dimensionality Reduction Using Secant-Based Projection Methods: The Induced Dynamics in Projected Systems D. S. BroomheadM. J. Kirby OriginalPaper Pages: 47 - 67
Advanced Proper Orthogonal Decomposition Tools: Using Reduced Order Models to Identify Normal Modes of Vibration and Slow Invariant Manifolds in the Dynamics of Planar Nonlinear Rods Ioannis Georgiou OriginalPaper Pages: 69 - 110
Nonlinear System Analysis with Karhunen–Loève Transform Philipp GlÖsmannEdwin kreuzer OriginalPaper Pages: 111 - 128
Low-Dimensional Galerkin Models for Nonlinear Vibration and Instability Analysis of Cylindrical Shells Paulo B. GonçalvesZenÓn J. G. N. DEL PRADO OriginalPaper Pages: 129 - 145
The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview Gaetan KerschenJean-claude GolinvalLAWRENCE A. BERGMAN OriginalPaper Pages: 147 - 169
Bifurcation Equations Through Multiple-Scales Analysis for a Continuous Model of a Planar Beam ANGELO LUONGOANGELO DI EGIDIO OriginalPaper Pages: 171 - 190
The Extended Malkus–Robbins Dynamo as a Perturbed Lorenz System IRENE M. MOROZ OriginalPaper Pages: 191 - 210
Reduced-Order Models for MEMS Applications ALI H. NAYFEHMOHAMMAD I. YOUNISEIHAB M. ABDEL-RAHMAN OriginalPaper Pages: 211 - 236
Order Reduction of Parametrically Excited Nonlinear Systems: Techniques and Applications S. C. SINHASANGRAM REDKARERIC A. BUTCHER OriginalPaper Pages: 237 - 273
Low-Dimensional Modelling of Turbulence Using the Proper Orthogonal Decomposition: A Tutorial TROY R. SMITHJEFF MOEHLISPHILIP HOLMES OriginalPaper Pages: 275 - 307
Spectral Properties of Dynamical Systems, Model Reduction and Decompositions Igor Mezić OriginalPaper Pages: 309 - 325