From the beating of our hearts to the proper functioning of our brains, many systems in nature depend on collections of 'oscillators'; perfectly-coordinated, rhythmic systems working together in flux, like the cardiac muscle cells in the heart.
Unless they act together, not much happens. But when they do, powerful changes occur. Cooperation between neurons results in brain waves and cognition, synchronized contractions of cardiac cells cause the whole heart to contract and pump the blood around the body. Lasers would not function without all the atomic oscillators acting in unison. Soldiers even have to break step when they reach a bridge in case oscillations caused by their marching feet cause the bridge to collapse.
But sometimes those oscillations go wrong.
To uncover these phenomena, they took a new approach to the solution of a set of equations proposed by the Japanese scientist Yoshiki Kuramoto in the 1970s. His theory showed it was possible in principle to predict the properties of a system as a whole from a knowledge of how oscillators interacted with each other on an individual basis.
Therefore, by looking at how the microscopic cardiac muscle cells interact we should be able to deduce whether the heart as a whole organ will contract properly and pump the blood round. Similarly, by looking at how the microscopic neurons in the brain interact, we might be able to understand the origins of whole-brain phenomena like thoughts, or dreams, or amnesia, or epileptic fits.
Physicists Dmytro Iatsenko , Professor Peter McClintock, and Professor Aneta Stefanovska have reported a far more general solution of the Kuramoto equations than anyone has achieved previously, with some quite unexpected results.