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- W1968611432 abstract "We classify the possible normal forms of quadratic Hamiltonians in 2 dimensions. Then we give a method to reduce by one the number of degrees of freedom of an arbitrary polynomial Hamiltonian whose principal part is quadratic in positions and moments. The reduction procedure is based on the extension of an integral of the unperturbed part to the whole system, up to a certain order. The corresponding reduced phase spaces have dimension 2 and are described by means of the set of invariants associated to the reduction." @default.
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- W1968611432 title "Reduction of Polynomial Planar Hamiltonians with Quadratic Unperturbed Part" @default.
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- W1968611432 doi "https://doi.org/10.1137/s0036144599362327" @default.
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