Approximate Hamiltonian symmetries and related first integrals
作者： R. Naz , F.M. Mahomed
DOI: 10.1016/J.IJNONLINMEC.2020.103547
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摘要: Abstract We study approximate Hamiltonian symmetries and related first integrals for perturbed systems. The symmetry expressed in evolutionary form gives rise to an integral provided it satisfies certain criteria. provide formulas deduce any given three ways. As applications, mainly from mechanics, the orbit equation, two-dimensional deformed galaxy model, a second-order ODE containing arbitrary function equation arising fluid mechanics are analysed integrals.
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