Analysis of periodic-quasiperiodic nonlinear systems via Lyapunov-Floquet transformation and normal forms

DOI10.1007/s11071-006-9072-6zbMath1180.70035OpenAlexW2080848694MaRDI QIDQ842063

Susan M. Wooden, Subhash C. Sinha

Publication date: 22 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-006-9072-6

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (5)

A direct analysis of nonlinear systems with external periodic excitations via normal forms ⋮ Reduced-order modelling of self-excited, time-periodic systems using the method of Proper Orthogonal Decomposition and the Floquet theory ⋮ Bifurcation and stability analysis with the role of normal form symmetries on the harmonic streamwise forced oscillation of the cylinder wake ⋮ On small perturbations of a nonlinear periodic system with degenerate equilibrium ⋮ On the reducibility of a class of nonlinear periodic Hamiltonian systems with degenerate equilibrium

Cites Work

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• Normal forms and the structure of resonance sets in nonlinear time-periodic systems
• Global behavior of a nonlinear quasiperiodic Mathieu equation
• Quasi-periodic solutions and stability for a weakly damped nonlinear quasi-periodic Mathieu equation
• Effective Reducibility of Quasi-periodic Linear Equations Close To Constant Coefficients
• Transition Curves for the Quasi-Periodic Mathieu Equation

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