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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.
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Previews available in: English
Edition | Availability |
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01
Singularities and Groups in Bifurcation Theory: Volume I
2013, Springer London, Limited
in English
146125034X 9781461250340
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02
Singularities and Groups in Bifurcation Theory: Volume I
2013, Springer New York
in English
1461295335 9781461295334
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03
Singularities and Groups in Bifurcation Theory: Volume II
2012, Springer London, Limited
in English
1461245745 9781461245742
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04
Singularities and Groups in Bifurcation Theory: Volume II
Feb 22, 2012, Springer
paperback
1461245753 9781461245759
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05
Singularities and Groups in Bifurcation Theory: Volume II
Oct 08, 2011, Springer New York, Brand: Springer
paperback
1461289297 9781461289296
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06
Singularities and Groups in Bifurcation Theory: Volume 2 (Applied Mathematical Sciences)
September 5, 2000, Springer
in English
0387966528 9780387966526
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07
Singularities and Groups in Bifurcation Theory (Applied Mathematical Sciences)
December 31, 2000, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Hardcover
3540966528 9783540966524
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08
Singularities and groups in bifurcation theory
1988, Springer-Verlag
in English
0387966528 9780387966526
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09
Singularities and groups in bifurcation theory
1985, Springer-Verlag
in English
0387909990 9780387909998
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10
Singularities and groups in bifurcation theory
1985, Springer-Verlag
in English
0387909990 9780387909998
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11
Singularities and Groups in Bifurcation Theory: Volume 1 (Applied Mathematical Sciences)
December 5, 1984, Springer
in English
0387909990 9780387909998
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Book Details
First Sentence
"In Volume I we showed how techniques from singularity theory may be applied to bifurcation problems, and how complicated arrangements of bifurcations may be studied by unfolding degenerate singularities."
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