03719nam 2200673 450 99646666200331620220306005047.03-540-48040-410.1007/BFb0073471(CKB)1000000000437158(SSID)ssj0000326672(PQKBManifestationID)12061286(PQKBTitleCode)TC0000326672(PQKBWorkID)10296694(PQKB)10238315(DE-He213)978-3-540-48040-2(MiAaPQ)EBC5592500(Au-PeEL)EBL5592500(OCoLC)1066176978(MiAaPQ)EBC6842866(Au-PeEL)EBL6842866(OCoLC)1058158383(PPN)155169785(EXLCZ)99100000000043715820220306d1993 uy 0engurnn#008mamaatxtccrSingularity theory and equivariant symplectic maps /Thomas J. Bridges, Jacques E. Furter1st ed. 1993.Berlin :Springer,1993.1 online resource (VI, 230 p.)Lecture notes in mathematics ;1558Bibliographic Level Mode of Issuance: Monograph3-540-57296-1 Includes bibliographical references and index.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.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.Lecture notes in mathematics (Springer-Verlag) ;1558.Singularities (Mathematics)Differentiable mappingsBifurcation theorySingularities (Mathematics)Differentiable mappings.Bifurcation theory.516.3558F05msc58C27mscBridges Thomas J.1955-60115Furter Jacques E.1957-MiAaPQMiAaPQMiAaPQBOOK996466662003316Singularity theory and equivariant symplectic maps262411UNISA01765oas 2200565 a 450 991014475170332120250417213017.0(OCoLC)1083182234(CONSER)cn2002704604(CKB)991042735694750(EXLCZ)9999104273569475020021127a20019999 ua bfreurcn|||||||||txtrdacontent/frecrdamedia/freGuide de l'enquête sur la population activeOttawa Statistique Canada[2001?]-Archivé par Bibliothèque et archives Canada.1704-8850 Guide enq. popul. act.Labor supplyCanadaStatistical methodsPeriodicalsMarché du travailCanadaMéthodes statistiquesPériodiquesLabor supplyStatistical methodsfastCanadafasthttps://id.oclc.org/worldcat/entity/E39PBJkMHVW4rfVXPrhVP4VwG3Periodicals.fastLabor supplyStatistical methodsMarché du travailMéthodes statistiquesLabor supplyStatistical methods.331.11/0971/021cci1icclacccoll11lacccoll14lacccoll29lacccoll108laccStatistique Canada.Division de la statistique du travail.NLCNLCOCLCOOCLCFOCLCQOCLCOOCLCQOCLCOOCLCLNLCJOURNAL9910144751703321Guide de l'enquête sur la population active2427911UNINA