Invariant spectral foliations with applications to model order reduction and synthesis

DOI10.1007/s11071-020-05891-1zbMath1517.70039arXiv1912.03655OpenAlexW3080333993MaRDI QIDQ6132386

Robert Szalai

Publication date: 16 August 2023

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

Full work available at URL: https://arxiv.org/abs/1912.03655

zbMATH Keywords

model order reductioninvariant foliationnon-linear system identification

Mathematics Subject Classification ID

System identification (93B30) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (3)

Methods of continuation and their implementation in the COCO software platform with application to delay differential equations ⋮ Invariant spectral foliations with applications to model order reduction and synthesis ⋮ Data-driven reduced order models using invariant foliations, manifolds and autoencoders

Cites Work

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• Hölder foliations, revisited
• Rigorous model reduction for a damped-forced nonlinear beam model: an infinite-dimensional analysis
• Invariant manifolds associated to nonresonant spectral subspaces
• Exact model reduction by a slow-fast decomposition of nonlinear mechanical systems
• Topological properties of the set of functions generated by neural networks of fixed size
• Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction
• Normal Modes of Vibration for Non-Linear Continuous Systems
• The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
• Invariant foliations near normally hyperbolic invariant manifolds for semiflows
• Nonlinear model identification and spectral submanifolds for multi-degree-of-freedom mechanical vibrations
• Fixed Point Theory in Metric Spaces
• Deep Neural Network Approximation Theory
• Optimal Approximation with Sparsely Connected Deep Neural Networks
• Invariant manifolds
• Foliations
• Invariant spectral foliations with applications to model order reduction and synthesis

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