{"product_id":"nonlinear-physical-systems-spectral-analysis-stability-and-bifurcations-hardback-9781848214200","title":"Nonlinear Physical Systems: Spectral Analysis, Sta bility and Bifurcations; Spectral Analysis, Stability and Bifurcations (Hardback) 9781848214200","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNonlinear Physical Systems: Spectral Analysis, Sta bility and Bifurcations\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eSpectral Analysis, Stability and Bifurcations\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eON Kirillov (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781848214200, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 29 November 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e448 pages\u003cbr\u003e23.9 x 16.2 x 2.9 cm, 0.802 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cb\u003eBringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eNonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations\u003c\/i\u003e focuses on problems of spectral analysis, stability and bifurcations arising in the nonlinear partial differential equations of modern physics. Bifurcations and stability of solitary waves, geometrical optics stability analysis in hydro- and magnetohydrodynamics, and dissipation-induced instabilities are treated with the use of the theory of Krein and Pontryagin space, index theory, the theory of multi-parameter eigenvalue problems and modern asymptotic and perturbative approaches.\u003c\/p\u003e \u003cp\u003eEach chapter contains mechanical and physical examples, and the combination of advanced material and more tutorial elements makes this book attractive for both experts and non-specialists keen to expand their knowledge on modern methods and trends in stability theory.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003eChapter 1. Surprising Instabilities of Simple Elastic Structures 1\u003cbr\u003e\u003ci\u003eDavide BIGONI, Diego MISSERONI, Giovanni NOSELLI and Daniele ZACCARIA\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 2. WKB Solutions Near an Unstable Equilibrium and Applications 15\u003cbr\u003e\u003ci\u003eJean-François BONY, Setsuro FUJIIÉ, Thierry RAMOND and Maher ZERZERI\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 3. The Sign Exchange Bifurcation in a Family of Linear Hamiltonian Systems 41\u003cbr\u003e\u003ci\u003eRichard CUSHMAN, Johnathan M. ROBBINS and Dimitrii SADOVSKII\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 4. Dissipation Effect on Local and Global Fluid-Elastic Instabilities 67\u003cbr\u003e\u003ci\u003eOlivier DOARÉ\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 5. Tunneling, Librations and Normal Forms in a Quantum Double Well with a Magnetic Field 85\u003cbr\u003e\u003ci\u003eSergey Y. DOBROKHOTOV and Anatoly Y. ANIKIN\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 6. Stability of Dipole Gap Solitons in Two-Dimensional Lattice Potentials 111\u003cbr\u003e\u003ci\u003eNir DROR and Boris A. MALOMED\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 7. Representation of Wave Energy of a Rotating Flow in Terms of the Dispersion Relation 139\u003cbr\u003e\u003ci\u003eYasuhide FUKUMOTO, Makoto HIROTA and Youichi MIE\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 8. Determining the Stability Domain of Perturbed Four-Dimensional Systems in 1:1\u003cbr\u003eResonance 155\u003cbr\u003e\u003ci\u003eIgor HOVEIJN and Oleg N. KIRILLOV\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 9. Index Theorems for Polynomial Pencils 177\u003cbr\u003e\u003ci\u003eRichard KOLLÁR and Radomír BOSÁK\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 10. Investigating Stability and Finding New Solutions in Conservative Fluid Flows Through Bifurcation Approaches 203\u003cbr\u003e\u003ci\u003ePaolo LUZZATTO-FEGIZ and Charles H.K. WILLIAMSON\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 11. Evolution Equations for Finite Amplitude Waves in Parallel Shear Flows 223\u003cbr\u003e\u003ci\u003eSherwin A. MASLOWE\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 12. Continuum Hamiltonian Hopf Bifurcation I 247\u003cbr\u003e\u003ci\u003ePhilip J. MORRISON and George I. HAGSTROM\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 13. Continuum Hamiltonian Hopf Bifurcation II 283\u003cbr\u003e\u003ci\u003eGeorge I. HAGSTROM and Philip J. MORRISON\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 14. Energy Stability Analysis for a Hybrid Fluid-Kinetic Plasma Model 311\u003cbr\u003e\u003ci\u003ePhilip J. MORRISON, Emanuele TASSI and Cesare TRONCI\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 15. Accurate Estimates for the Exponential Decay of Semigroups with Non-Self-Adjoint Generators 331\u003cbr\u003e\u003ci\u003eFrancis NIER\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 16. Stability Optimization for Polynomials and Matrices 351\u003cbr\u003e\u003ci\u003eMichael L. OVERTON\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 17. Spectral Stability of Nonlinear Waves in KdV-Type Evolution Equations 377\u003cbr\u003e\u003ci\u003eDmitry E. PELINOVSKY\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eChapter 18. Unfreezing Casimir Invariants: Singular Perturbations Giving Rise to Forbidden\u003cbr\u003eInstabilities 401\u003c\/p\u003e \u003cp\u003eList of Authors 421\u003c\/p\u003e \u003cp\u003eIndex 425\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"ISTE Ltd.","offers":[{"title":"Brand New","offer_id":52637828088088,"sku":"9781848214200","price":131.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781848214200.jpg?v=1788918610","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/nonlinear-physical-systems-spectral-analysis-stability-and-bifurcations-hardback-9781848214200","provider":"Freshly Printed Books","version":"1.0","type":"link"}