1.

Record Nr.

UNINA9910438149403321

Autore

Capietto Anna

Titolo

Stability and bifurcation theory for non-autonomous differential equations : Cetraro, Italy 2011 / / Anna Capietto ... [et al.] ; editors, Russell Johnson, Maria Patrizia Pera

Pubbl/distr/stampa

Berlin ; ; New York, : Springer, 2013

ISBN

3-642-32906-3

Edizione

[1st ed. 2013.]

Descrizione fisica

1 online resource (IX, 303 p. 26 illus., 9 illus. in color.)

Collana

Lecture notes in mathematics ; ; 2065. CIME foundation subseries

Classificazione

34B1537B5534C2537E4037G3534K12

Altri autori (Persone)

JohnsonR (Russell)

PeraMaria Patrizia

Disciplina

515.355

Soggetti

Differential equations, Nonlinear

Stability

Bifurcation theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

The Maslov index and global bifurcation for nonlinear boundary value problems -- Discrete-time nonautonomous dynamical systems -- Resonance problems for some non-autonomous ordinary differential equations -- Non-autonomous functional differential equations and applications -- Twist mappings with non-periodic angles.

Sommario/riassunto

This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and



related fields.