Qualitative Theory of Planar Differential Systems

Deals with systems of polynomial autonomous ordinary differential equations in two real variables. Suited for a first course in dynamical systems, this book int... » 

Deals with systems of polynomial autonomous ordinary differential equations in two real variables. Suited for a first course in dynamical systems, this book introduces the essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, and also proves the main results. «