Nonconservative Stability Problems of Modern Physics / / Oleg N. Kirillov.

This work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics. It deals with both finite- a...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2013]
©2013
Year of Publication:2013
Language:English
Series:De Gruyter Studies in Mathematical Physics , 14
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Physical Description:1 online resource (429 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Chapter 1: Introduction
  • Chapter 2: Lyapunov stability and linear stability analysis
  • Chapter 3: Hamiltonian and gyroscopic systems
  • Chapter 4: Reversible and circulatory systems
  • Chapter 5: Influence of structure of forces on stability
  • Chapter 6: Dissipation-induced instabilities
  • Chapter 7: Nonself-adjoint boundary eigenvalue problems for differential operators and operator matrices dependent on parameters
  • Chapter 8: The destabilization paradox in continuous circulatory systems
  • Chapter 9: The MHD kinematic mean field α2-dynamo
  • Chapter 10: Campbell diagrams of gyroscopic continua and subcritical friction-induced flutter
  • Chapter 11: Non-Hermitian perturbation of Hermitian matrices with physical applications
  • Chapter 12: Magnetorotational instability
  • References
  • Index