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Approximate invariants and Lagrangians for autonomous, weakly nonlinear systems

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Publication:1339435
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DOI10.1016/0020-7462(94)90011-6zbMath0809.70017OpenAlexW2094983420MaRDI QIDQ1339435

Harry H. Denman

Publication date: 4 April 1995

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(94)90011-6


zbMATH Keywords

Duffing equationvan der Pol equationdamped harmonic oscillatorapproximate Hamiltonian


Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Lagrange's equations (70H03)


Related Items (2)

On approximate Lagrangians and invariants for scaling reductions of a non-linear wave equation with damping ⋮ Exact solutions for certain nonlinear autonomous ordinary differential equations of the second order and families of two-dimensional autonomous systems




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