Normal forms and the structure of resonance sets in nonlinear time-periodic systems
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Publication:1591456
DOI10.1023/A:1008312424551zbMath0998.70016OpenAlexW1532524063MaRDI QIDQ1591456
Eric A. Butcher, Subhash C. Sinha
Publication date: 19 November 2002
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1008312424551
normal formsdouble inverted pendulumtime-periodic coefficientsresonance setsnonlinear Mathieu equationnonlinear time-periodic systems
Dynamical systems in classical and celestial mechanics (37N05) Nonlinear resonances for nonlinear problems in mechanics (70K30) Normal forms for nonlinear problems in mechanics (70K45)
Related Items (6)
A direct analysis of nonlinear systems with external periodic excitations via normal forms ⋮ Analysis of periodic-quasiperiodic nonlinear systems via Lyapunov-Floquet transformation and normal forms ⋮ 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 ⋮ Magnus expansion for time-periodic systems: parameter-dependent approximations ⋮ Stability of Coupled and Damped Mathieu Equations Utilizing Symplectic Properties
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