@article {4f889eddc79c4951b8de031ee0c8972d,
	title = {Necessary conditions for mode interactions in parametrically excited waves},
	journal = {Physical Review Letters},
	volume = {100},
	number = {13},
	year = {2008},
	month = {apr},
	publisher = {American Physical Society},
	abstract = {We study the spatial and temporal structure of nonlinear states formed by parametrically excited waves on a fluid surface (Faraday instability), in a highly dissipative regime. Short-time dynamics reveal that 3-wave interactions between different spatial modes are only observed when the modes{\textquoteright} peak values occur simultaneously. The temporal structure of each mode is functionally described by the Hill{\textquoteright}s equation and is unaffected by which nonlinear interaction is dominant.},
	issn = {0031-9007},
	doi = {10.1103/PhysRevLett.100.134101},
	url = {https://drive.google.com/file/d/1zXi4-HmukE6_ffCjVqDA_IRm75RAzoCp/view?usp=drive_link},
	author = {T. Epstein and J. Fineberg}
}
