Ultrasonic control technology using spectral sequences in abstract mathematics.

The Ultrasonic System Research Institute has developed a model of the state, including phenomena related to the nonlinearity of ultrasound, as a Monoid model in abstract mathematics (category theory).
Based on this idea, a specific method for ultrasonic control is applied using time series data of varying sound pressure as spectral series.
The method of utilizing ultrasonic control involves dynamically changing (optimizing) the effects of cavitation and acoustic flow concerning the control of multiple ultrasonic oscillations, using nonlinear phenomena (the bispectrum of sound pressure data) as parameters to suit the objectives.
From previous data analysis, effective utilization methods are dynamically controlled and classified into the following four types:
1: Cavitation-dominant type
2: Acoustic flow-dominant type
3: Mixed type
4: Variable type
For each of the above types, detailed analysis, evaluation, and classification regarding stability and changes allow for the setting and adjustment of various conditions to achieve efficient ultrasonic propagation states in relation to objectives and effects.


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