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010   $a1-281-89691-8
010   $a9786611896911
010   $a981-270-115-X
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100   $a20050907d2005      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aBifurcation theory and applications /$fTian Ma, Shouhong Wang
205   $a1st ed.
210   $aSingapore ;$aLondon $cWorld Scientific$dc2005
215   $a1 online resource (391 p.)
225 1 $aWorld Scientific series on nonlinear science. Series A ;$vv. 53
300   $aDescription based upon print version of record.
311   $a981-256-352-0 
311   $a981-256-287-7 
320   $aIncludes bibliographical references and index.
327   $aPreface; 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; Index
330   $aThis book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics. The book first introduces bifurcation theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate nonlinearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for nonlinear evolution equations, a new notion of bifurcation. With this new notio
410  0$aWorld Scientific series on nonlinear science.$nSeries A,$pMonographs and treatises ;$vv. 53.
606   $aBifurcation theory
606   $aDifferential equations, Nonlinear$xNumerical solutions
615  0$aBifurcation theory.
615  0$aDifferential equations, Nonlinear$xNumerical solutions.
676   $a515.392
700   $aMa$b Tian$f1956-$0626838
701   $aWang$b Shouhong$f1962-$0289839
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910812481903321
996   $aBifurcation theory and applications$91463651
997   $aUNINA