Explore fundamental concepts of active matter systems in this lecture from the ICTP-SAIFR School on Synchronization, where Professor Fernando Peruani from Cergy Paris University examines the emergence of order in complex systems. Delve into the fascinating intersection of synchronization phenomena and collective motion, focusing on how moving oscillators coordinate and generate organized behavior. Learn about the theoretical frameworks and mathematical models used to understand these dynamic processes, which have applications ranging from biological systems to artificial swarms. Part of a comprehensive series on synchronization phenomena connecting collective motion to brain dynamics, this 89-minute presentation provides essential insights for researchers and students interested in complex systems, statistical physics, and biological physics.