Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations

Author:   Oleg N. Kirillov ,  Dmitry E. Pelinovsky
Publisher:   ISTE Ltd and John Wiley & Sons Inc
ISBN:  

9781848214200


Pages:   448
Publication Date:   29 November 2013
Format:   Hardback
Availability:   Out of stock   Availability explained
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Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations


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Author:   Oleg N. Kirillov ,  Dmitry E. Pelinovsky
Publisher:   ISTE Ltd and John Wiley & Sons Inc
Imprint:   ISTE Ltd and John Wiley & Sons Inc
Dimensions:   Width: 16.30cm , Height: 3.10cm , Length: 24.10cm
Weight:   0.807kg
ISBN:  

9781848214200


ISBN 10:   1848214200
Pages:   448
Publication Date:   29 November 2013
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Preface xiii Chapter 1. Surprising Instabilities of Simple Elastic Structures 1 Davide BIGONI, Diego MISSERONI, Giovanni NOSELLI and Daniele ZACCARIA Chapter 2. WKB Solutions Near an Unstable Equilibrium and Applications 15 Jean-François BONY, Setsuro FUJIIÉ, Thierry RAMOND and Maher ZERZERI Chapter 3. The Sign Exchange Bifurcation in a Family of Linear Hamiltonian Systems 41 Richard CUSHMAN, Johnathan M. ROBBINS and Dimitrii SADOVSKII Chapter 4. Dissipation Effect on Local and Global Fluid-Elastic Instabilities 67 Olivier DOARÉ Chapter 5. Tunneling, Librations and Normal Forms in a Quantum Double Well with a Magnetic Field 85 Sergey Y. DOBROKHOTOV and Anatoly Y. ANIKIN Chapter 6. Stability of Dipole Gap Solitons in Two-Dimensional Lattice Potentials 111 Nir DROR and Boris A. MALOMED Chapter 7. Representation of Wave Energy of a Rotating Flow in Terms of the Dispersion Relation 139 Yasuhide FUKUMOTO, Makoto HIROTA and Youichi MIE Chapter 8. Determining the Stability Domain of Perturbed Four-Dimensional Systems in 1:1 Resonance 155 Igor HOVEIJN and Oleg N. KIRILLOV Chapter 9. Index Theorems for Polynomial Pencils 177 Richard KOLLÁR and Radomír BOSÁK Chapter 10. Investigating Stability and Finding New Solutions in Conservative Fluid Flows Through Bifurcation Approaches 203 Paolo LUZZATTO-FEGIZ and Charles H.K. WILLIAMSON Chapter 11. Evolution Equations for Finite Amplitude Waves in Parallel Shear Flows 223 Sherwin A. MASLOWE Chapter 12. Continuum Hamiltonian Hopf Bifurcation I 247 Philip J. MORRISON and George I. HAGSTROM Chapter 13. Continuum Hamiltonian Hopf Bifurcation II 283 George I. HAGSTROM and Philip J. MORRISON Chapter 14. Energy Stability Analysis for a Hybrid Fluid-Kinetic Plasma Model 311 Philip J. MORRISON, Emanuele TASSI and Cesare TRONCI Chapter 15. Accurate Estimates for the Exponential Decay of Semigroups with Non-Self-Adjoint Generators 331 Francis NIER Chapter 16. Stability Optimization for Polynomials and Matrices 351 Michael L. OVERTON Chapter 17. Spectral Stability of Nonlinear Waves in KdV-Type Evolution Equations 377 Dmitry E. PELINOVSKY Chapter 18. Unfreezing Casimir Invariants: Singular Perturbations Giving Rise to Forbidden Instabilities 401 List of Authors 421 Index 425

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Oleg N. Kirillov is a Research Fellow at the Magneto-Hydrodynamics Division of the Helmholtz-Zentrum Dresden-Rossendorf, Germany. Dmitry E. Pelinovsky is Professor of Mathematics at University of McMaster, Hamilton, Ontario, Canada.

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