Order reduction of nonlinear systems with time periodic coefficients using invariant manifolds

DOI10.1016/j.jsv.2004.07.027zbMath1237.34005OpenAlexW2040910086MaRDI QIDQ2883693

Sangram Redkar, Eric A. Butcher, Subhash C. Sinha

Publication date: 13 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsv.2004.07.027

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear dynamics in mechanics (70K99) Ordinary differential equations and systems on manifolds (34C40)

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Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems ⋮ Reduced-order modelling of self-excited, time-periodic systems using the method of Proper Orthogonal Decomposition and the Floquet theory ⋮ Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction ⋮ Order reduction of forced nonlinear systems using updated LELSM modes with new Ritz vectors ⋮ Order reduction of parametrically excited nonlinear systems: Techniques and applications ⋮ Application of the Liapunov–Floquet transformation to differential equations with time delay and periodic coefficients ⋮ Construction of reduced order controllers for nonlinear systems with periodic coefficients ⋮ Model reduction for discrete-time periodic systems with dissipativity

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