Bifurcation analysis of the Zhukovskii-Volterra system via bi-Hamiltonian approach
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The main goal of this paper consists of bifurcation analysis of classical integrable Zhukovskii-Volterra system. We use the fact that the ZV system is bi-Hamiltonian and apply new techniques  for analysis of singularities of bi-Hamiltonian systems, which can be formulated as follows: the structure of singularities of a bi-Hamiltonian system is determined by that of the corresponding compatible Poisson brackets.
Key wordsintegrable Hamiltonian sistems compatible Poisson structures bifurcations semisimple Lie algebras
MSC2000 numbers37K10 37J35 37J20 17B80
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