Article Contents
Article Contents

# Local and global phase portrait of equation $\dot z=f(z)$

• This paper studies the differential equation $\dot z=f(z)$, where $f$ is an analytic function in $\mathbb C$ except, possibly, at isolated singularities. We give a unify treatment of well known results and provide new insight into the local normal forms and global properties of the solutions for this family of differential equations.
Mathematics Subject Classification: 34C20, 34A34, 32A10, 37C10.

 Citation: