Explicates the isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group R2. Emphasis is placed on the topology of this foliation rather than on analytic representation. In contrast to previously published works in this area, the authors consistently use the dynamical properties of the action to achieve their results. For graduate students and research mathematicians working in the dynamics of Hamiltonian systems. Also useful for those studying the geometric structure of symplectic manifolds. Translated from Russian. No index. Annotation c. by Book News, Inc., Portland, Or.
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Hardback. Zustand: New. The main topic of this book is the isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group ${\mathbb R}^2$. This is a first step towards understanding the global dynamics of Hamiltonian systems and applying perturbation methods. Emphasis is placed on the topology of this foliation rather than on analytic representation. In contrast to previously published works in this area, here the authors consistently use the dynamical properties of the action to achieve their results. Bestandsnummer des Verkäufers LU-9780821803752
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Hardback. Zustand: New. The main topic of this book is the isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group ${\mathbb R}^2$. This is a first step towards understanding the global dynamics of Hamiltonian systems and applying perturbation methods. Emphasis is placed on the topology of this foliation rather than on analytic representation. In contrast to previously published works in this area, here the authors consistently use the dynamical properties of the action to achieve their results. Bestandsnummer des Verkäufers LU-9780821803752
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Zustand: New. Contains the topic of isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group ${\mathbb R}^2$. This book emphasises on the topology of this foliation rather than on analytic representation. Series: Translations of Mathematical Monographs Reprint. Num Pages: 192 pages, Illustrations. BIC Classification: PBK; PBPH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 260. Weight in Grams: 567. . 1998. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821803752
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Zustand: New. Contains the topic of isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group ${\mathbb R}^2$. This book emphasises on the topology of this foliation rather than on analytic representation. Series: Translations of Mathematical Monographs Reprint. Num Pages: 192 pages, Illustrations. BIC Classification: PBK; PBPH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 260. Weight in Grams: 567. . 1998. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821803752
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