Bifurcation analysis of the Zhukovskii-Volterra system via bi-Hamiltonian approach |
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Authors: | I Basak |
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Institution: | 1.Department de Matemàtica Aplicada I,Universitat Politecnica de Catalunya,Barcelona,Spain |
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Abstract: | 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 1] 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. |
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Keywords: | |
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