Electronic Journal of Differential Equations, Vol. 1997(1997), No. 19, pp 1-9. Title: Complex dynamical systems on bounded symmetric domains Authors: Victor Khatskevich (International College of Technology Karmiel, Israel) Simeon Reich (Israel Institute of Technology, Haifa, Israel) David Shoikhet (International College of Technology Karmiel, Israel) Abstract: We characterize those holomorphic mappings which are the infinitesimal generators of semi-flows on bounded symmetric domains in complex Banach spaces. Submitted August 25, 1997. Published October 31, 1997. Math Subject Classification: 34G20, 46G20, 47H20, 58C10. Key Words: Bounded symmetric domain; complex Banach space; holomorphic mapping; infinitesimal generator; semi-complete vector field.