02710nam 2200613 450 991078889840332120180613001252.01-4704-0682-9(CKB)3360000000464456(EBL)3113629(SSID)ssj0000973580(PQKBManifestationID)11504634(PQKBTitleCode)TC0000973580(PQKBWorkID)10984568(PQKB)10932964(MiAaPQ)EBC3113629(RPAM)916744(PPN)195411544(EXLCZ)99336000000046445619821008h19831983 uy| 0engur|n|---|||||txtccrGeneric bifurcations for involutory area preserving maps /Russell J. RimmerProvidence, Rhode Island :American Mathematical Society,[1983]©19831 online resource (174 p.)Memoirs of the American Mathematical Society,0065-9266 ;volume 41, number 272 (January 1983)Description based upon print version of record.0-8218-2272-1 Includes bibliographical references.""TABLE OF CONTENTS""; ""CHAPTER 1. INTRODUCTION""; ""CHAPTER 2. PRELIMINARIES""; ""2.1 Terminology and Some Useful Results""; ""2.1.1 Basic Ideas""; ""2.1.2 The Weak and the Strong Topologies""; ""2.1.3 Transversality""; ""2.2 A Curve of Fixed Points""; ""CHAPTER 3. BIFURCATION FROM A SYMMETRIC FIXED POINT WITH MULTIPLIERS ± 1""; ""3.1 A Generating Function for a Family of Area Preserving Maps""; ""3.2 The Involutory Property and the Generating Functions""; ""3.3 Fixed Points Near a Symmetric Fixed Point with Multipliers 1""""8.1 Symmetric Hamiltonian Systems""""8.2 Existence of Families of Involutory Area Preserving Maps""; ""APPENDIX 1 PROOFS OF TWO RESULTS USED IN CHAPTER 4""; ""A1.1Proof of Proposition 4.2.2(ii)""; ""A1.2 Proof of Lemma 4.2.4""; ""REFERENCES""Memoirs of the American Mathematical Society ;number 272.Differentiable dynamical systemsMappings (Mathematics)Bifurcation theoryHamiltonian systemsDifferentiable dynamical systems.Mappings (Mathematics)Bifurcation theory.Hamiltonian systems.510 s514/.74Rimmer Russell J.1948-1545088MiAaPQMiAaPQMiAaPQBOOK9910788898403321Generic bifurcations for involutory area preserving maps3799774UNINA