Sentence:  The theory of <WSD>holomorphic</WSD> dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A <WSD>holomorphic</WSD> dynamical system is the datum of a complex variety and a <WSD>holomorphic</WSD> object (such as a self-map or a vector field) acting on it. 
Meaning of the word marked with <WSD> tags:  Complex-differentiable on an open set around every point in its domain.