Branching behavior of standing waves - the signatures of resonance

  title={Branching behavior of standing waves - the signatures of resonance},
  author={D. Hudson Smith and Anthony J. Roberts},
Arclength continuation methods are used to conduct a detailed branching study of standing wave solutions for fluids in a rectangular container, using depth and crest acceleration as control parameters. At each depth the applicable acceleration range extends between zero and one, and a number of multiple solution structures are uncovered. An intimate connection is established between these structures and the phenomenon of harmonic resonance. 


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