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Record Nr. |
UNINA9910788898403321 |
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Autore |
Rimmer Russell J. <1948-> |
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Titolo |
Generic bifurcations for involutory area preserving maps / / Russell J. Rimmer |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1983] |
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©1983 |
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ISBN |
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Descrizione fisica |
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1 online resource (174 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; volume 41, number 272 (January 1983) |
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Disciplina |
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Soggetti |
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Differentiable dynamical systems |
Mappings (Mathematics) |
Bifurcation theory |
Hamiltonian systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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