| Descript |
1 online resource (vi, 226 p.) : ill |
| Series |
Lecture notes in mathematics ; 1558 |
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Lecture notes in mathematics (Springer-Verlag) ; 1558
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| Note |
Includes bibliographical references (p. [215]-219) and indexes |
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Description based on print version record |
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The monograph is a study of the local bifurcations of multiparameter symplectic maps of arbitrary dimension in the neighborhood of a fixed point.The problem is reduced to a study of critical points of an equivariant gradient bifurcation problem, using the correspondence between orbits ofa symplectic map and critical points of an action functional. New results onsingularity theory for equivariant gradient bifurcation problems are obtained and then used to classify singularities of bifurcating period-q points. Of particular interest is that a general framework for analyzing group-theoretic aspects and singularities of symplectic maps (particularly period-q points) is presented. Topics include: bifurcations when the symplectic map has spatial symmetry and a theory for the collision of multipliers near rational points with and without spatial symmetry. The monograph also includes 11 self-contained appendices each with a basic result on symplectic maps. The monograph will appeal to researchers and graduate students in the areas of symplectic maps, Hamiltonian systems, singularity theory and equivariant bifurcation theory |
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Use copy Restrictions unspecified star MiAaHDL |
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Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL |
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Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Link |
Print version: (DLC) 93037171 (OCoLC)28927857 |
| Subject |
Differentiable mappings
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Singularities (Mathematics)
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Bifurcation theory
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Symplectomorphisme
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Application symplectique équivariante
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Singularité
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Point périodique
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Bifurcation
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Gradient
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Applications différentiables
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Singularités (Mathématiques)
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Bifurcation, Théorie de la
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Manifolds. gtt
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Gewone differentiaalvergelijkingen. gtt
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Singularités (mathématiques) ram
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Bifurcation, Théorie de la. ram
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Äquivariante Abbildung. swd
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Singularität (Mathematik) swd
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Symplektische Abbildung. swd
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Bifurcation theory. fast (OCoLC)fst00831564
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Differentiable mappings. fast (OCoLC)fst00893433
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Singularities (Mathematics) fast (OCoLC)fst01119502
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Electronic books
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| Alt Author |
Furter, Jacques E., 1957-
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