The monograph is a study of the local bifurcations ofmultiparameter symplectic maps of arbitrary dimension in theneighborhood of a fixed point.The problem is reduced to astudy of critical points of an equivariant gradientbifurcation problem, using the correspondence between orbitsofa symplectic map and critical points of an actionfunctional. New results onsingularity theory forequivariant gradient bifurcation problems are obtained andthen used to classify singularities of bifurcating period-qpoints. Of particular interest is that a general frameworkfor analyzing group-theoretic aspects and singularities ofsymplectic maps (particularly period-q points) is presented.Topics include: bifurcations when the symplectic map hasspatial symmetry and a theory for the collision ofmultipliers near rational points with and without spatialsymmetry. The monograph also includes 11 self-containedappendices each with a basic result on symplectic maps. Themonograph will appeal to researchers and graduate studentsin the areas of symplectic maps, Hamiltonian systems,singularity theory and equivariant bifurcation theory.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Generic bifurcation of periodic points.- Singularity theory for equivariant gradient bifurcation problems.- Classification of Zq-equivariant gradient bifurcation problems.- Period-3 points of the generalized standard map.- Classification of Dq-equivariant gradient bifurcation problems.- Reversibility and degenerate bifurcation of period-q points of multiparameter maps.- Periodic points of equivariant symplectic maps.- Collision of multipliers at rational points for symplectic maps.- Equivariant maps and the collision of multipliers.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The monograph is a study of the local bifurcations ofmultiparameter symplectic maps of arbitrary dimension in theneighborhood of a fixed point.The problem is reduced to astudy of critical points of an equivariant gradientbifurcation problem, usi. Codice articolo 4894261
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The monograph is a study of the local bifurcations ofmultiparameter symplectic maps of arbitrary dimension in theneighborhood of a fixed point.The problem is reduced to astudy of critical points of an equivariant gradientbifurcation problem, using the correspondence between orbitsofa symplectic map and critical points of an actionfunctional. New results onsingularity theory forequivariant gradient bifurcation problems are obtained andthen used to classify singularities of bifurcating period-qpoints. Of particular interest is that a general frameworkfor analyzing group-theoretic aspects and singularities ofsymplectic maps (particularly period-q points) is presented.Topics include: bifurcations when the symplectic map hasspatial symmetry and a theory for the collision ofmultipliers near rational points with and without spatialsymmetry. The monograph also includes 11 self-containedappendices each with a basic result on symplectic maps. Themonograph will appeal to researchers and graduate studentsin the areas of symplectic maps, Hamiltonian systems,singularity theory and equivariant bifurcation theory. 236 pp. Englisch. Codice articolo 9783540572961
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The monograph is a study of the local bifurcations ofmultiparameter symplectic maps of arbitrary dimension in theneighborhood of a fixed point.The problem is reduced to astudy of critical points of an equivariant gradientbifurcation problem, using the correspondence between orbitsofa symplectic map and critical points of an actionfunctional. New results onsingularity theory forequivariant gradient bifurcation problems are obtained andthen used to classify singularities of bifurcating period-qpoints. Of particular interest is that a general frameworkfor analyzing group-theoretic aspects and singularities ofsymplectic maps (particularly period-q points) is presented.Topics include: bifurcations when the symplectic map hasspatial symmetry and a theory for the collision ofmultipliers near rational points with and without spatialsymmetry. The monograph also includes 11 self-containedappendices each with a basic result on symplectic maps. Themonograph will appeal to researchers and graduate studentsin the areas of symplectic maps, Hamiltonian systems,singularity theory and equivariant bifurcation theory. Codice articolo 9783540572961
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Taschenbuch. Condizione: Neu. Neuware -The monograph is a study of the local bifurcations ofmultiparameter 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. 236 pp. Englisch. Codice articolo 9783540572961
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