Attractivity and Bifurcation for Nonautonomous Dynamical Systems: 1907 - Brossura

Rasmussen, Martin

 
9783540712244: Attractivity and Bifurcation for Nonautonomous Dynamical Systems: 1907
Brossura
ISBN 10: 3540712240 ISBN 13: 9783540712244
Casa editrice: Springer, 2007

Sinossi

Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2007
Lingua
Inglese
ISBN 10 
3540712240
ISBN 13 
9783540712244
Rilegatura
Copertina flessibile
Numero di pagine
232
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Germania

Altre edizioni note dello stesso titolo

9783540836025: Attractivity and Bifurcation for Nonautonomous Dynamical Systems

Edizione in evidenza

ISBN 10:  3540836020 ISBN 13:  9783540836025
Casa editrice: Springer, 2008
Brossura