Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
Systems of N identical phase oscillators with global sinusoidal coupling are known to display low-dimensional dynamics. Although this phenomenon was first observed about 20 years ago, its underlying cause has remained a puzzle. Here we expose the structure working behind the scenes of these systems, by proving that the governing …