Unfoldings and bifurcations of quasi-periodic tori / / H.W. Broer [and three others]
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| Titolo: |
Unfoldings and bifurcations of quasi-periodic tori / / H.W. Broer [and three others]
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| ©1990 | |
| Descrizione fisica: | 1 online resource (189 p.) |
| Disciplina: | 515/.352 |
| Soggetto topico: | Flows (Differentiable dynamical systems) |
| Bifurcation theory | |
| Torus (Geometry) | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | BroerH. W <1950-> (Hendrik Wolter) |
| Note generali: | "January 1990, volume 83, number 421 (third of 6 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""TABLE OF CONTENTS""; ""PART I: UNFOLDINGS OF QUASI�PERIODIC TORI""; ""1. Introduction""; ""2. Preliminaries""; ""a. Invariant manifolds, normal linearization, integrability""; ""b. Unfoldings of matrices""; ""3. The integrable case""; ""a. The general (dissipative) context""; ""b. The volume preserving context""; ""c. The symplectic context""; ""4. The nearly integrable case in the general (dissipative) context""; ""5. The nearly integrable cases in the volume preserving and the symplectic (m = n) contexts""; ""a. Addition of local parameters""; ""b. The volume preserving case m = 1"" |
| ""c. The symplectic case m = n""""6. The nearly integrable case in the general symplectic context""; ""a. General remarks""; ""b. Normal linearization""; ""c. The results""; ""7. Applications�Related results""; ""a. A more general stability result""; ""b. Comparison with Moser's modifying terms""; ""c. Fewer parameters""; ""d. Applications to local bifurcation theory""; ""e. A locally free [omitted][sup(n)]�action""; ""f. Oscillators with quasi�periodic forcing""; ""8. Proof of the main result""; ""a. Introduction""; ""b. Proof of Theorem 8.1""; ""c. Proof of Theorem 6.1""; ""Appendix"" | |
| ""Finite differentiability""""PART II: TOWARD A QUASI�PERIODIC BIFURCATION THEORY""; ""1. Introduction""; ""2. A higher order normal form theory""; ""a. The case m = 1""; ""b. The case m = 2""; ""c. Whitney�smoothness in the frequencies""; ""d. The local approach""; ""3. The bifurcation models""; ""a. Preliminaries""; ""b. The quasi�periodic period�doubling bifurcation""; ""c. The quasi�periodic Hopf�bifurcation""; ""d. The quasi�periodic saddle�node bifurcation""; ""4. Applications""; ""a. Oscillators with quasi�periodic forcing""; ""b. Local bifurcations"" | |
| ""5. Proof of the Saddle�Node Stability Theorem""""a. Formulation""; ""b. Transfer of the perturbation problem""; ""c. Proof""; ""Appendix""; ""References"" | |
| Titolo autorizzato: | Unfoldings and bifurcations of quasi-periodic tori |
| ISBN: | 1-4704-0844-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480687103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 83, Number 421.