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Perturbation analysis of parametric resonance

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Publication:6599391
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DOI10.1007/978-1-0716-2621-4_393zbMATH Open1548.70013MaRDI QIDQ6599391

Ferdinand Verhulst

Publication date: 6 September 2024





zbMATH Keywords

perturbation theoryparametric resonancesHamiltonian theory


Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Parametric resonances for nonlinear problems in mechanics (70K28) Nonlinear resonances for nonlinear problems in mechanics (70K30) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Averaging of perturbations for nonlinear problems in mechanics (70K65)








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