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Author Bridges, Thomas J., 1955-
Title Singularity theory and equivariant symplectic maps [electronic resource] / Thomas J. Bridges, Jacques E. Furter
Imprint Berlin ; New York : Springer-Verlag, c1993
book jacket
Descript 1 online resource (vi, 226 p.) : ill
Series Lecture notes in mathematics ; 1558
Lecture notes in mathematics (Springer-Verlag) ; 1558
Note Includes bibliographical references (p. [215]-219) and indexes
Description based on print version record
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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Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
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Link Print version: (DLC) 93037171 (OCoLC)28927857
Subject Differentiable mappings
Singularities (Mathematics)
Bifurcation theory
Application symplectique équivariante
Point périodique
Applications différentiables
Singularités (Mathématiques)
Bifurcation, Théorie de la
Manifolds. gtt
Gewone differentiaalvergelijkingen. gtt
Singularités (mathématiques) ram
Bifurcation, Théorie de la. ram
Äquivariante Abbildung. swd
Singularität (Mathematik) swd
Symplektische Abbildung. swd
Bifurcation theory. fast (OCoLC)fst00831564
Differentiable mappings. fast (OCoLC)fst00893433
Singularities (Mathematics) fast (OCoLC)fst01119502
Electronic books
Alt Author Furter, Jacques E., 1957-
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