Ordinary Differential Equations and Dynamical Systems

Overview & Synopsis

The aim of this book is to give a self contained introduction to the
field of ordinary differential equations with emphasis on the dynamical systems
point of view while still keeping an eye on classical tools as pointed out
before. Covered topics are: Newton�s equations, Classification of differential
equations, First order autonomous equations, Qualitative analysis of first order
equations, Initial value problems, Linear equations, Differential equations in
the complex domain, Boundary value problems, Dynamical systems, Planar dynamical
systems, Higher dimensional dynamical systems, Local behavior near fixed points,
Chaos, Discrete dynamical systems, Discrete dynamical systems in one dimension,
Periodic solutions, Chaos in higher dimensional systems.