On the programming of cubic acoustic resonator with periodic time-dependent coefficient

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-05 DOI:10.1016/j.cnsns.2025.108972

Maxime Morell , Aurélie Labetoulle , Emmanuel Gourdon , Emanuele De Bono , Manuel Collet , Alireza Ture Savadkoohi

引用次数: 0

Abstract

In this article, we investigate an electroacoustic resonator with a programmed cubic nonlinearity with constant and time-dependent coefficients. We design an experiment coupling an acoustic mode of a tube with a digitally programmable nonlinear resonator. Both simulations and experiments are carried out to compare optimized points for the resonator with programmed cubic nonlinearity with constant and time-dependent coefficients. We show that the frequency bandwidth of efficiency and the noise reduction are greater with varying nonlinearity than with constant nonlinearity.

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具有周期时变系数的立方声谐振器的规划

在这篇文章中，我们研究了一个具有常数和时间相关系数的程序化三次非线性的电声谐振器。我们设计了一个用数字可编程非线性谐振器耦合管道声学模式的实验。通过仿真和实验，比较了具有常系数和时变系数的程序三次非线性谐振器的优化点。结果表明，非线性变化时的效率带宽和降噪比非线性不变时的效率带宽和降噪大。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.