Methods of Bifurcation Theory is popular PDF and ePub book, written by S.-N. Chow in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Methods of Bifurcation Theory can be Read Online from any device for your convenience.
Methods of Bifurcation Theory Book PDF Summary
An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. Our primary objective is to discuss those aspects of bifurcation theory which are particularly meaningful to differential equations. To accomplish this objective and to make the book accessible to a wider we have presented in detail much of the relevant background audience, material from nonlinear functional analysis and the qualitative theory of differential equations. Since there is no good reference for some of the mate rial, its inclusion seemed necessary. Two distinct aspects of bifurcation theory are discussed-static and dynamic. Static bifurcation theory is concerned with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied. If the function is a gradient, then variational techniques play an important role and can be employed effectively even for global problems. If the function is not a gradient or if more detailed information is desired, the general theory is usually local. At the same time, the theory is constructive and valid when several independent parameters appear in the function. In differential equations, the equilibrium solutions are the zeros of the vector field. Therefore, methods in static bifurcation theory are directly applicable.
Detail Book of Methods of Bifurcation Theory PDF
- Author : S.-N. Chow
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461381594
- Genre : Mathematics
- Total Page : 529 pages
- Language : English
- PDF File Size : 18,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Methods of Bifurcation Theory by S.-N. Chow, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
