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Optimal projection in a Koopman-based sorting-free Hill method

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Publication:6610847
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DOI10.1007/978-3-031-50631-4_35MaRDI QIDQ6610847

Fabia Bayer, Remco I. Leine

Publication date: 26 September 2024





zbMATH Keywords

stabilityperiodic solutionsFloquet multipliersmonodromy matrixFloquet exponents


Mathematics Subject Classification ID

Fluid mechanics (76-XX)


Cites Work

  • A harmonic-based method for computing the stability of periodic solutions of dynamical systems
  • A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems
  • Calculation of Lyapunov exponents for dynamic systems with discontinuities.
  • Introduction to the Koopman operator in dynamical systems and control theory
  • Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systems
  • The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
  • Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
  • Harmonic Balance for Nonlinear Vibration Problems







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