Systematic construction of separable systems with quadratic in momenta first integrals
classification
🌊 nlin.SI
math-phmath.MP
keywords
systemsseparablebenentifirstintegralsmomentaquadraticappropriate
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Liouville integrable separable systems with quadratic in momenta first integrals are considered. Particular attention is paid to the systems generated by the so-called special conformal Killing tensors, i.e. Benenti systems. Then, infinitely many new classes of separable systems are constructed by appropriate deformations of Benenti class systems.
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