Stability and Bifurcation Theory for Non-Autonomous Differential Equations
Subtitle: Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera
By: by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Rafael Ortega
Contributors: Kloeden, Peter; Mawhin, Jean; Novo, Sylvia; Ortega, Rafael; SpringerLink (Online service)
Series: Lecture Notes in Mathematics -- 2065
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 303
ISBN-13: 9783642329067
Subjects: Differential equations; Functional equations; Difference and Functional Equations; Differentiable dynamical systems; Ordinary Differential Equations; Mathematics; Dynamical Systems and Ergodic Theory
Description: 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.
Table of contents: title: The Maslov index and global bifurcation for nonlinear boundary value problems; title: Discrete-time nonautonomous dynamical systems; title: Resonance problems for some non-autonomous ordinary differential equations; title: Non-autonomous functional differential equations and applications; title: Twist mappings with non-periodic angles.