Author | Kielhรถfer, Hansjรถrg. author |
---|---|

Title | Bifurcation Theory [electronic resource] : An Introduction with Applications to PDEs / by Hansjรถrg Kielhรถfer |

Imprint | New York, NY : Springer New York : Imprint: Springer, 2004 |

Connect to | http://dx.doi.org/10.1007/b97365 |

Descript | VIII, 348 p. 38 illus. online resource |

SUMMARY

In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations

CONTENT

Local Theory -- Global Theory -- Applications

Mathematics
Dynamics
Ergodic theory
Partial differential equations
Applied mathematics
Engineering mathematics
Mechanics
Mechanics Applied
Mathematics
Partial Differential Equations
Dynamical Systems and Ergodic Theory
Applications of Mathematics
Theoretical and Applied Mechanics