Which Residual Mode Captures the Energy of the Dominating Mode in Second Order Hamiltonian Systems?

DOI10.1137/140990577zbMath1359.37055arXiv1410.2374OpenAlexW2142077912MaRDI QIDQ2790862

Elvise Berchio, Gazzola, Filippo, Chiara Zanini

Publication date: 8 March 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2374

zbMATH Keywords

stabilitysecond-order Hamiltonian systemsMathieu equations

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Stability theory for smooth dynamical systems (37C75) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

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