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Cochlear Fluid Mechanics Considered as Flows on a Cusp Catastrophe

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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.
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Document Type: Research Article

Publication date: August 1, 1977

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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