Equivariant Degree Theory (De Gruyter Series in Nonlinear Analysis and Applications, 8) - ISBN:3110175509

Equivariant Degree Theory (De Gruyter Series in Nonlinear Analysis and Applications, 8)

Date: 23 May 2011, 11:26

Free register and download UseNet downloader, then you can FREE Download from UseNet.

Download without Limit " Equivariant Degree Theory (De Gruyter Series in Nonlinear Analysis and Applications, 8) " from UseNet for FREE!

This volume presents a degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree in a self-contained presentation starting with only elementary facts. The first chapter explains the basic tools of representation theory, homotopy theory and differential equations needed in the text. Then the degree is defined and its main abstract properties are derived. The next part is devoted to the study of equivariant homotopy groups of spheres and to the classification of equivariant maps in the case of abelian actions. These groups are explicitly computed and the effects of symmetry breaking, products and composition are thoroughly studied. The last part deals with computations of the equivariant index of an isolated orbit and of an isolated loop of stationary points. Here differential equations in a variety of situations are considered: symmetry breaking, forcing, period doubling, twisted orbits, first integrals, gradients etc. Periodic solutions of Hamiltonian systems, in particular spring-pendulum systems, are studied as well as Hopf bifurcation for all these situations.

Download Links:

Download Link (High Speed Download)

Download Link 1 (http://depositfiles.com/...khaok9kbr)

Download Link 2 (http://www.filesonic.in/...E)

DISCLAIMER:

This site does not store Equivariant Degree Theory (De Gruyter Series in Nonlinear Analysis and Applications, 8) on its server. We only index and link to Equivariant Degree Theory (De Gruyter Series in Nonlinear Analysis and Applications, 8) provided by other sites. Please contact the content providers to delete Equivariant Degree Theory (De Gruyter Series in Nonlinear Analysis and Applications, 8) if any and email us, we'll remove relevant links or contents immediately.