Science/Engineering Differential Galois Theory and Non-Integrability of Hamiltonian Systems (376436078X)

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Differential Galois Theory and Non-Integrability of Hamiltonian Systems

This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations. In addition to the theory, the book also presents several important applications, including homogeneous potentials, Bianchi IX cosmological model, three-body problem, Hnon-Heiles system, etc. The book is based on the original joint research of the author with J.M. Peris, J.P. Ramis and C. Sim, but an effort was made to present these achievements in their logical order rather than their historical one. The necessary background on differential Galois theory and Hamiltonian systems is included, and several new problems and conjectures which open new lines of research are proposed.

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	Science/Engineering Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian SystemsSpringer \| ISBN 3540664793 \| 2000-03-15 \| DJVU \| 2.9 MB \| 274 pagesHilbert's talk at the second International Congress of 1900 in Paris mar ...
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	Technical Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems (ReUp) Michael Struwe, "Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems" Springer 2008 \| ISBN-10: 3540740120 \| 302 Pages \| PDF \| 2,6 MB Hilbert's talk at the second International Congress of ...

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	Science/Engineering Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian SystemsSpringer \| ISBN 3540664793 \| 2000-03-15 \| DJVU \| 2.9 MB \| 274 pagesHilbert's talk at the second International Congress of 1900 in Paris mar ...
	Science/Engineering Galois Theory of Linear Differential Equations Galois Theory of Linear Differential Equations Publisher: Springer \| ISBN: 3540442286 \| edition 2003 \| PDF \| 478 pages \| 3 mbLinear differential equations form the central topic of this volume, with the Galois theory being the unifying the ...
	Morse Theory for Hamiltonian Systems Alberto Abbondandolo, "Morse Theory for Hamiltonian Systems" Chapman & Hall/CRC \| 2001 \| ISBN: 1584882026 \| 208 pages \| PDF \| 5,3 MB This Research Note explores existence and multiplicity questions for periodic solutions of first or ...
	Mathematics Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete, 3. Folge, Bd. 34)
	Mathematics Multi-Hamiltonian Theory of Dynamical Systems Multi-Hamiltonian Theory of Dynamical Systems Publisher: Springer \| ISBN: 354064251X \| edition 1998 \| DJVU \| 350 pages \| 1,65 mbA modern Hamiltonian theory offering a unified treatment of all types of systems (i.e. finite, lattice, and fie ...
	Technical Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems (ReUp) Michael Struwe, "Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems" Springer 2008 \| ISBN-10: 3540740120 \| 302 Pages \| PDF \| 2,6 MB Hilbert's talk at the second International Congress of ...

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