Review on Spatio-temporal phenomena in complex systems with time delays

Serhiy Yanchuk and Giovanni Giacomelli published a topical review in Journal of Physics A: Mathematical and Theoretical.

Real-world systems can be strongly influenced by time delays occurring in self-coupling interactions, due to unavoidable finite signal propagation velocities. When the delays become significantly long, complicated high-dimensional phenomena appear and a simple extension of the methods employed in low-dimensional dynamical systems is not feasible. The review shows how suitable approaches, based on a comparison with spatio-temporal systems, represent powerful instruments for disclosing the very basic mechanism of long-delay systems.