A modified nonlinear POD method for order reduction based on transient time series
From MaRDI portal
Publication:493949
DOI10.1007/s11071-014-1736-zzbMath1345.34025OpenAlexW2074963694MaRDI QIDQ493949
Hai Yu, Lei Hou, Kuan Lu, Yu-Shu Chen, Qing-jie Cao
Publication date: 7 September 2015
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-014-1736-z
Theoretical approximation of solutions to ordinary differential equations (34A45) Bifurcation theory for ordinary differential equations (34C23) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Numerical bifurcation problems (65P30)
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Cites Work
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- On the use of POD-based ROMs to analyze bifurcations in some dissipative systems
- Calibrated reduced-order POD-Galerkin system for fluid flow modelling
- Center manifold analysis of a DDE model of gene expression
- On approximate inertial manifolds to the Navier-Stokes equations
- Bifurcation analysis on a survival red blood cells model
- Bifurcations of relative equilibria of an oblate gyrostat with a discrete damper
- Center manifold and multivariable approximants applied to nonlinear stability analysis
- Approximate inertial manifolds for reaction-diffusion equations in high space dimension
- Stability and Hopf bifurcation for an epidemic disease model with delay
- Reduced order models based on local POD plus Galerkin projection
- Bifurcations in fluctuating systems: The center-manifold approach
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- Dynamic diagnosis of railway tracks by means of the Karhunen-Loève transformation
- I: Dynamical characterization of a frictionally excited beam
- Part 2: Proper orthogonal modal modeling of a fractionally excited beam
- Bifurcation analysis for nonlinear multi-degree-of-freedom rotor system with liquid-film lubricated bearings
- Hopf bifurcation in viscous incompressible flow down an inclined plane
- Equation-free/Galerkin-free POD-assisted computation of incompressible flows
- Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions
- Dimension reduction of dynamical systems: methods, models, applications
- Nonlinear system analysis with Karhunen-Loève transform
- The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
- PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY
- Local POD Plus Galerkin Projection in the Unsteady Lid-Driven Cavity Problem
- Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation
- Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
- Nonlinear Galerkin Methods
- Methods for dimension reduction and their application in nonlinear dynamics
- Invariant manifolds, nonclassical normal modes, and proper orthogonal modes in the dynamics of the flexible spherical pendulum
