03117nam 2200637Ia 450 991081248190332120240515181526.01-281-89691-89786611896911981-270-115-X(CKB)1000000000334302(EBL)296071(OCoLC)476063194(SSID)ssj0000111314(PQKBManifestationID)11143310(PQKBTitleCode)TC0000111314(PQKBWorkID)10075166(PQKB)11253324(MiAaPQ)EBC296071(WSP)00000016 (Au-PeEL)EBL296071(CaPaEBR)ebr10173922(CaONFJC)MIL189691(EXLCZ)99100000000033430220050907d2005 uy 0engur|n|---|||||txtccrBifurcation theory and applications /Tian Ma, Shouhong Wang1st ed.Singapore ;London World Scientificc20051 online resource (391 p.)World Scientific series on nonlinear science. Series A ;v. 53Description based upon print version of record.981-256-352-0 981-256-287-7 Includes bibliographical references and index.Preface; Contents; Chapter 1 Introduction to Steady State Bifurcation Theory; Chapter 2 Introduction to Dynamic Bifurcation; Chapter 3 Reduction Procedures and Stability; Chapter 4 Steady State Bifurcations; Chapter 5 Dynamic Bifurcation Theory: Finite Dimensional Case; Chapter 6 Dynamic Bifurcation Theory: Infinite Dimensional Case; Chapter 7 Bifurcations for Nonlinear Elliptic Equations; Chapter 8 Reaction-Diffusion Equations; Chapter 9 Pattern Formation and Wave Equations; Chapter 10 Fluid Dynamics; Bibliography; IndexThis book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics. The book first introduces bifurcation theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate nonlinearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for nonlinear evolution equations, a new notion of bifurcation. With this new notioWorld Scientific series on nonlinear science.Series A,Monographs and treatises ;v. 53.Bifurcation theoryDifferential equations, NonlinearNumerical solutionsBifurcation theory.Differential equations, NonlinearNumerical solutions.515.392Ma Tian1956-626838Wang Shouhong1962-289839MiAaPQMiAaPQMiAaPQBOOK9910812481903321Bifurcation theory and applications1463651UNINA