Integrable Hamiltonian systems on complex Lie groups / [electronic resource] V. Jurdjevic.

By: Jurdjevic, VelimirMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 838Publication details: Providence, R.I. : American Mathematical Society, 2005Description: 1 online resource (viii, 133 p. : ill.)ISBN: 9781470404390 (online)Subject(s): Hamiltonian systems | Lie groups | Manifolds (Mathematics)Additional physical formats: Integrable Hamiltonian systems on complex Lie groups /DDC classification: 510 s | 512/.482 LOC classification: QA3 | .A57 no. 838 | QA614.83Online resources: Contents | Contents
Contents:
1. Introduction 2. Cartan decomposition and the generalized elastic problems 3. The maximum principle and the Hamiltonians 4. The left-invariant symplectic form 5. Symmetries and the conservation laws 6. Complexified elastic problems 7. Complex elasticae of Euler and its $n$-dimensional extensions 8. Cartan algebras, root spaces and extra integrals of motion 9. Elastic curves for the case of Lagrange 10. Elastic curves for the case of Kowalewski
Item type: E-BOOKS
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Link to resource Available EBK13291

"Volume 178, number 838 (second of 5 numbers)."

Includes bibliographical references (p. 132-133).

1. Introduction 2. Cartan decomposition and the generalized elastic problems 3. The maximum principle and the Hamiltonians 4. The left-invariant symplectic form 5. Symmetries and the conservation laws 6. Complexified elastic problems 7. Complex elasticae of Euler and its $n$-dimensional extensions 8. Cartan algebras, root spaces and extra integrals of motion 9. Elastic curves for the case of Lagrange 10. Elastic curves for the case of Kowalewski

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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