Numerical computation of forced oscillations in coupled Duffing equations

DOI10.1007/BF01407372zbMath0266.65064OpenAlexW1989178246MaRDI QIDQ2562562

René van Dooren

Publication date: 1973

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132193

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Related Items (9)

Numerical study of the controlled van der Pol oscillator in Chebyshev series ⋮ A modification of the Stiefel-Bettis method for nonlinearly damped oscillators ⋮ Periodic doubling solutions in the Duffing oscillator: A Galerkin approach ⋮ A new look at the brachistochrone problem ⋮ Chebyshev series solution of the controlled Duffing oscillator ⋮ Stabilization of Cowell's classical finite difference method for numerical integration ⋮ A sixth-order modification of the Stiefel-Bettis method for nonlinearly damped oscillators ⋮ Numerical computation of solutions to the KdV equation in double Chebyshev series ⋮ Orbit computation in celestial mechanics by Urabe's method

Cites Work

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• Galerkin's procedure for nonlinear periodic systems
• Numerical integration of ordinary differential equations based on trigonometric polynomials
• Functional analysis and Galerkin's method
• Numerical computation of nonlinear forced oscillations by Galerkin's procedure
• Stabilization of Cowell's method
• Combination tones of summed type in a non-linear damped vibratory system with two degrees of freedom

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