Stability and Bifurcation Theory for Non-Autonomous Differential Equations
Capietto, Anna.
Stability and Bifurcation Theory for Non-Autonomous Differential Equations Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera / [electronic resource] : by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Rafael Ortega. - IX, 303 p. 26 illus., 9 illus. in color. online resource. - Lecture Notes in Mathematics, 2065 0075-8434 ; . - Lecture Notes in Mathematics, 2065 .
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.
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.
9783642329067
10.1007/978-3-642-32906-7 doi
Mathematics.
Difference equations.
Functional equations.
Dynamics.
Ergodic theory.
Differential equations.
Mathematics.
Ordinary Differential Equations.
Difference and Functional Equations.
Dynamical Systems and Ergodic Theory.
QA372
515.352
Stability and Bifurcation Theory for Non-Autonomous Differential Equations Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera / [electronic resource] : by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Rafael Ortega. - IX, 303 p. 26 illus., 9 illus. in color. online resource. - Lecture Notes in Mathematics, 2065 0075-8434 ; . - Lecture Notes in Mathematics, 2065 .
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.
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.
9783642329067
10.1007/978-3-642-32906-7 doi
Mathematics.
Difference equations.
Functional equations.
Dynamics.
Ergodic theory.
Differential equations.
Mathematics.
Ordinary Differential Equations.
Difference and Functional Equations.
Dynamical Systems and Ergodic Theory.
QA372
515.352