1.

Record Nr.

UNISA996466480403316

Autore

Capietto Anna

Titolo

Stability and Bifurcation Theory for Non-Autonomous Differential Equations [[electronic resource] ] : Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera / / by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Miguel Ortega

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : 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

C.I.M.E. Foundation Subseries ; ; 2065

Classificazione

34B1537B5534C2537E4037G3534K12

Disciplina

515.352

Soggetti

Differential equations

Difference equations

Functional equations

Dynamics

Ergodic theory

Ordinary Differential Equations

Difference and Functional Equations

Dynamical Systems and Ergodic Theory

Conference proceedings.

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.