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Singularities and Groups in Bifurcation Theory: Volume 1 (Applied Mathematical Sciences)

✍ Scribed by Martin Golubitsky, David G. Schaeffer

Year
1984
Tongue
English
Leaves
475
Edition
1
Category
Library
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✦ Synopsis

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 aim is to make singularity theory more available to applied scientists as well as to mathematicians. Three case studies illustrate how singularity methods are used in applications. The authors have devoted effort to explaining the underlying mathematics in relatively simple terms and have included many examples. It is intended to be useful for a wide audience.

πŸ“œ SIMILAR VOLUMES

Singularities and Groups in Bifurcation
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✍ 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

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✍ 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