Integrable Hamiltonian systems on complex Lie groups / V. Jurdjevic.
Introduction Cartan decomposition and the generalized elastic problems The maximum principle and the Hamiltonians The left-invariant symplectic form Symmetries and the conservation laws Part 2. Complex Lie groups and complex Hamiltonians: Complexified elastic problems Complex elasticae of Euler and...
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Full Text (via ProQuest) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
2005.
|
| Series: | Memoirs of the American Mathematical Society ;
no. 838. |
| Subjects: |
MARC
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| 100 | 1 | |a Jurdjevic, Velimir. | |
| 245 | 1 | 0 | |a Integrable Hamiltonian systems on complex Lie groups / |c V. Jurdjevic. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2005. | ||
| 300 | |a 1 online resource (viii, 133 pages) : |b illustrations. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 838. | |
| 500 | |a "Volume 178, number 838 (second of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 132-133) | ||
| 505 | 0 | 0 | |t 1. Introduction |t 2. Cartan decomposition and the generalized elastic problems |t 3. The maximum principle and the Hamiltonians |t 4. The left-invariant symplectic form |t 5. Symmetries and the conservation laws |t 6. Complexified elastic problems |t 7. Complex elasticae of Euler and its $n$-dimensional extensions |t 8. Cartan algebras, root spaces and extra integrals of motion |t 9. Elastic curves for the case of Lagrange |t 10. Elastic curves for the case of Kowalewski. |
| 520 | 8 | |a Introduction Cartan decomposition and the generalized elastic problems The maximum principle and the Hamiltonians The left-invariant symplectic form Symmetries and the conservation laws Part 2. Complex Lie groups and complex Hamiltonians: Complexified elastic problems Complex elasticae of Euler and its n-dimensional extensions Cartan algebras, root spaces and extra integrals of motion Elastic curves for the case of Lagrange Elastic curves for the case of Kowalewski Bibliography. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Hamiltonian systems. | |
| 650 | 0 | |a Lie groups. | |
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| 776 | 0 | 8 | |i Print version: |a Jurdjevic, Velimir. |t Integrable Hamiltonian systems on complex Lie groups / |x 0065-9266 |z 9780821837641. |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 838. | |
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