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Noncompact Bifurcations of Integrable Dynamic Systems

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In the theory of integrable Hamiltonian systems, an important role is played by the study of Liouville foliations and bifurcations of their leaves. In the compact case, the problem is… Click to show full abstract

In the theory of integrable Hamiltonian systems, an important role is played by the study of Liouville foliations and bifurcations of their leaves. In the compact case, the problem is solved, but the noncompact case remains mostly unknown. The main goal of this article is to formulate the noncompact problem and to present a set of examples of Hamiltonian systems, giving rise to noncompact bifurcations and Liouville leaves.

Keywords: integrable dynamic; bifurcations integrable; noncompact bifurcations; dynamic systems

Journal Title: Journal of Mathematical Sciences
Year Published: 2020

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