Whether in listening to music or pushing a swing in the playground, we are all familiar with resonances and how they amplify an effect—a sound or a movement, for example. However, in high-intensity circular particle accelerators, resonances can be an inconvenience, causing particles to fly off their course and resulting in beam loss. Predicting how resonances and non-linear phenomena affect particle beams requires some very complex dynamics to be disentangled.
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