𝔖 Scriptorium
✦   LIBER   ✦
πŸ“

Singularities and Groups in Bifurcation Theory: Volume 2 (Applied Mathematical Sciences)

✍ Scribed by Martin Golubitsky, Ian Stewart, David G. Schaeffer

Year
1988
Tongue
English
Leaves
546
Category
Library
⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis

Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.

πŸ“œ SIMILAR VOLUMES

Singularities and Groups in Bifurcation
πŸ“ Singularities and Groups in Bifurcation Theory: Volume 1 (Applied Mathematical Sciences)
✍ Martin Golubitsky, David G. Schaeffer πŸ“‚ Library πŸ“… 1984 🌐 English

This volume applies pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. This text is the first in a two volume sequence and the focus of this book is singularity theory, with group theory playing a subordinate role. The ai

Singularities and Groups in Bifurcation
πŸ“ Singularities and Groups in Bifurcation Theory: Volume I
✍ Martin Golubitsky, David G. Schaeffer (auth.) πŸ“‚ Library πŸ“… 1985 πŸ› Springer-Verlag New York 🌐 English

<p>This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation probΒ­ lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approa

Singularities and Groups in Bifurcation
πŸ“ Singularities and Groups in Bifurcation Theory: Volume II
✍ Martin Golubitsky, Ian Stewart, David G. Schaeffer (auth.) πŸ“‚ Library πŸ“… 1988 πŸ› Springer-Verlag New York 🌐 English

<p>Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of tr

Singularities and groups in bifurcation
πŸ“ Singularities and groups in bifurcation theory.
✍ Martin Golubitsky, David G. Schaeffer πŸ“‚ Library πŸ“… 1984 πŸ› Springer 🌐 English

This volume applies pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. This text is the first in a two volume sequence and the focus of this book is singularity theory, with group theory playing a subordinate role. The ai

Singularities and groups in bifurcation
πŸ“ Singularities and groups in bifurcation theory.
✍ Martin Golubitsky, Ian Stewart, David G. Schaeffer πŸ“‚ Library πŸ“… 1988 πŸ› Springer 🌐 English

Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity- theoretic techniques aid the understanding of tran