1.

Record Nr.

UNINA9910480687103321

Titolo

Unfoldings and bifurcations of quasi-periodic tori / / H.W. Broer [and three others]

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1990

©1990

ISBN

1-4704-0844-9

Descrizione fisica

1 online resource (189 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 83, Number 421

Disciplina

515/.352

Soggetti

Flows (Differentiable dynamical systems)

Bifurcation theory

Torus (Geometry)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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""

2.

Record Nr.

UNIORUON00104629

Autore

ABOU, Selim

Titolo

Le Bilinguisme arabe-franþais au liban : Essai d'anthropologie culturelle / SÚlim Abou

Pubbl/distr/stampa

Paris, : Presses Universitaires de France, 1962

Descrizione fisica

502 p. ; 23 cm

Classificazione

LIB XIII

Soggetti

Sociologia - Libia

Lingua di pubblicazione

Francese

Formato

Materiale a stampa

Livello bibliografico

Monografia