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Mathematics - Dynamical Systems & Differential Equations | Stability and Bifurcation Theory for Non-Autonomous Differential Equations - Cetraro, Italy 2011,

Stability and Bifurcation Theory for Non-Autonomous Differential Equations

Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera

Capietto, A., Kloeden, P., Mawhin, J., Novo, S., Ortega, M.

Johnson, Russell, Pera, Maria Patrizia (Eds.)

2013, IX, 303 p. 26 illus., 9 illus. in color.

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  • About this book

  • Up-to-date study of ordinary and functional differential equations
  • Use of topological and dynamical methods and comparison of such methods
  • Speakers are all leading experts in the field
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.

Content Level » Research

Keywords » 34B15, 37B55, 34C25, 37E40, 37G35, 34K12 - Degree Theory - Differential Equations - Dynamical Methods - Nonautonomous Dynamics

Related subjects » Dynamical Systems & Differential Equations

Table of contents 

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.

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