Cochlear Fluid Mechanics Considered as Flows on a Cusp Catastrophe
The elementary signal of sound may be defined as an example of the result of potential minimization, when the potential is the unfolding of an equivalent class of neighborhood functions. In these terms, an elementary signal is an unstable map of a potential function (i.e., cusp catastrophe),
resulting in a limit cycle. In that the movements of cochlear fluids elicited by an elementary signal are diffeomorphic to the representation of an elementary signal determined by the minimization of a potential, a description of those movements may be considered as flows on a cusp catastrophe,
and only the unique transfer functions for specific cochlear remain to be defined. A new deterministic foundation for macroscopic quantum physics in general is also indicated.
Document Type: Research Article
Publication date: 01 August 1977
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