scientific article
zbMATH Open0726.70010MaRDI QIDQ3348466
Publication date: 1990
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coupled nonlinear oscillatorspolynomial potentialsLie's methodinvariance analysisthree degrees of freedomextended, velocity-dependent vector fieldsintegrable cases of nonlinear dynamical systems
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)
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