Stability and Bifurcation Theory for Non-Autonomous Differential Equations

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

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Stability and Bifurcation Theory for Non-Autonomous Differential Equations by Russell Johnson, Maria Patrizia Pera, Sylvia Novo, Miguel Ortega, Jean Mawhin, Peter Kloeden, Anna Capietto, Springer Berlin Heidelberg
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Author: Russell Johnson, Maria Patrizia Pera, Sylvia Novo, Miguel Ortega, Jean Mawhin, Peter Kloeden, Anna Capietto ISBN: 9783642329067
Publisher: Springer Berlin Heidelberg Publication: December 14, 2012
Imprint: Springer Language: English
Author: Russell Johnson, Maria Patrizia Pera, Sylvia Novo, Miguel Ortega, Jean Mawhin, Peter Kloeden, Anna Capietto
ISBN: 9783642329067
Publisher: Springer Berlin Heidelberg
Publication: December 14, 2012
Imprint: Springer
Language: English

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.

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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.

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