Stability analysis for systems of nonlinear Hill's equations
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Publication:1581529
DOI10.1016/S0378-4371(00)00300-9zbMath1053.34518OpenAlexW2169642391WikidataQ126438514 ScholiaQ126438514MaRDI QIDQ1581529
Gamal M. Mahmoud, Tassos C. Bountis, S. Attia Ahmed
Publication date: 3 October 2000
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0378-4371(00)00300-9
analytical solutionsperiodic coefficientsnumerical solutionsthree-particle systemMathieu equationsregular motionfirst-order perturbation theorygeneralized averaging methodfree-free boundary conditionsfundamental periodic solutionsmultiple scaling techniquenonlinear Hill equations
Related Items (8)
Analytical periodic solution and stability assessment of 1 DOF parametric systems with time varying stiffness ⋮ Existence of periodic solutions for the generalized form of Mathieu equation ⋮ Control aspects in nonlinear Hill's equation ⋮ An arbitrary Lagrangian-Eulerian formulation of a geometrically exact Timoshenko beam running through a tube ⋮ Stability of a Class of Coupled Hill's Equations and the Lorentz Oscillator Model ⋮ THE DYNAMICS OF SYSTEMS OF COMPLEX NONLINEAR OSCILLATORS: A REVIEW ⋮ A SYMPLECTIC ALGORITHM FOR THE STABILITY ANALYSIS OF NONLINEAR PARAMETRIC EXCITED SYSTEMS ⋮ An new approach to exponential stability analysis of nonlinear systems
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