Generic bifurcations for involutory area preserving maps / [electronic resource] Russell J. Rimmer.
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TextSeries: Memoirs of the American Mathematical Society ; v. 272Publication details: Providence, R.I. : American Mathematical Society, 1983Description: 1 online resource (v, 165 p. : ill.)ISBN: 9781470406820 (online)Subject(s): Differentiable dynamical systems | Mappings (Mathematics) | Bifurcation theory | Hamiltonian systemsAdditional physical formats: Generic bifurcations for involutory area preserving maps /DDC classification: 510 s | 514/.74 LOC classification: QA3 | .A57 no. 272 | QA614.8Online resources: Contents | Contents 
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|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12725 |
Bibliography: p. 163-165.
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
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
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