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

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 838Publication details: Providence, R.I. : American Mathematical Society, 2005.Description: 1 online resource (viii, 133 p. : ill.)ISBN:
  • 9781470404390 (online)
Subject(s): Additional physical formats: Integrable Hamiltonian systems on complex Lie groups /DDC classification:
  • 510 s 512/.482 22
LOC classification:
  • QA3 .A57 no. 838 QA614.83
Online resources:
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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IMSc Library 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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The Institute of Mathematical Sciences, Chennai, India