Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts

DOI10.1007/s11071-007-9242-1zbMath1170.70353OpenAlexW2124401570WikidataQ59897861 ScholiaQ59897861MaRDI QIDQ840269

Jens Starke, Jan Rübel, Mizuho Inagaki, Frank Schilder, Bernd Krauskopf, Hinke M. Osinga

Publication date: 11 September 2009

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

Full work available at URL: https://research.vu.nl/en/publications/d2d884a4-43d8-4c6c-bca8-52003e352eb2

zbMATH Keywords

noisevibrationinvariant torirotordynamicsturbochargerquasiperiodic oscillationoil-whirlunbalance oscillation

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43)

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Uses Software

• AUTO
• HomCont
• Torcont

Cites Work

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• Computing Arnol'd tongue scenarios
• Construction of invariant torus using Toeplitz Jacobian matrices/fast Fourier transform approach
• Nonlinear dynamic behavior and bifurcation analysis of a rigid rotor supported by a relatively short externally pressurized porous gas journal bearing system
• Fourier methods for quasi-periodic oscillations
• Continuation of Quasi-periodic Invariant Tori
• Elements of applied bifurcation theory