Generic bifurcations for involutory area preserving maps / Russell J. Rimmer.
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| Main Author: | |
|---|---|
| Format: | Electronic |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
1983.
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| Series: | Memoirs of the American Mathematical Society ;
no. 272. |
| Subjects: | |
| Online Access: | Click for online access |
Table of Contents:
- 1. Introduction 2. Preliminaries 3. Bifurcation from a symmetric fixed point with multipliers $\pm 1$ 4. Conditions on generating functions occur generically 5. Bifurcation from a symmetric fixed point $u_0$ of $\phi _{e_0}$ with multipliers which are $n^{\textrm {th}}$ prime roots of unity, for $n\geq 3$ 6. Normalisation of a family of involutory area preserving maps 7. Generic bifurcations 8. Families of involutory area preserving maps and symmetric Hamiltonian systems Appendix.