This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience.
* Covers a variety of problems in ordinary differential equations
* Pure mathematical and real-world applications
* Written for mathematicians and scientists of many related fields
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Chapter 1: Symmetric Hopf Bifurcation: Twisted Degree Approach
Chapter 2: Nonautonomous Differential Systems in Two Dimensions
Chapter 3: Complex Differential Equations
Chapter 4: Transversal Periodic-to-Periodic Homoclinic Orbits
Chapter 5: Successive Approximation Techniques in Non-Linear Boundary Value Problems for Ordinary Differential Equations
Chapter 6: Analytic Ordinary Differential Equations and Their Local Classification
Michal Feckan is Professor of Mathematics at the Department of Mathematical Analysis and Numerical Mathematics on the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovak Republic. He obtained his Ph.D. (mathematics) from the Mathematical Institute of Slovak Academy of Sciences in Bratislava, Slovak Republic. He is interested in nonlinear functional analysis, bifurcation theory and dynamical systems with applications to mechanics and vibrations.