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The Origin of Stability Indeterminacy in a Symmetric Hamiltonian

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Publication:3733013
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DOI10.1115/1.3167631zbMath0598.70017OpenAlexW2038898052MaRDI QIDQ3733013

M. R. Hyams, Leslie Anne Month

Publication date: 1984

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3167631


zbMATH Keywords

bifurcationstwo-dimensional systemperiodic motionsharmonic oscillator potentialSingular pointstwo-degree-of-freedom Hamiltonianfixed energy surfaceAction-angle variablescanonical averaging procedureone- parameter class of coupled nonlinear oscillatorssymmetric, homogeneous potential of the 4th degreethree-parameter class of Hamiltonians


Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Local and nonlocal bifurcation theory for dynamical systems (37G99)








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