Approximate invariants and Lagrangians for autonomous, weakly non-linear systems
作者： Harry H. Denman
DOI: 10.1016/0020-7462(94)90011-6
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摘要: Abstract A procedure is given for the calculation of approximate invariants autonomous, weakly non-linear systems with one degree freedom, based on an expansion in parameters. From such invariant, Lagrangian and Hamiltonian describing system can be generated. The damped harmonic oscillator, Duffing equation van der Pol are used as examples.
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