Analytical Description of Optimally Time-Dependent Modes for Reduced-Order Modeling of Transient Instabilities

DOI10.1137/18M1212082zbMath1433.70034MaRDI QIDQ5238225

Themistoklis P. Sapsis, Antoine Blanchard

Publication date: 28 October 2019

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldslow-fast dynamicsoptimally time-dependent modesGram-Schmidt Vectorstransient instabilities

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Invariant manifolds for ordinary differential equations (34C45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Existence theories for free problems in one independent variable (49J05) Optimality conditions for free problems in one independent variable (49K05)

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