This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre), Israel. The papers cover a wide variety of topics in complex analysis and partial differential equations, including meromorphic functions, one-parameter semigroups, subordination chains, quasilinear hyperbolic systems, and the Euler-Poisson-Darboux equation. In addition, there are several articles dealing with various aspects of fixed point theory, hyperbolic geometry, and optimal control.