EPJ B Highlight - Stimulating resonance with two very different forces

Fine-tuning frequencies to achieve resonance.

In some specialised oscillators, two driving forces with significantly different frequencies can work together to make the whole system resonate.

Widely studied in many different fields, ‘nonlinear’ systems can display excessively dramatic responses when the forces which cause them to vibrate are changed. Some of these systems are sensitive to changes in the very parameters which define their driving forces, and can be well described using mathematical equations. These ‘parametric’ oscillators have been widely researched in the past, but so far, few studies have investigated how they will respond to multiple driving forces. In new research published in EPJ B, Dhruba Banerjee and colleagues at Jadavpur University in Kolkata explore this case in detail for the first time. They show that some parametric oscillators can be made to resonate when tuned by a high driving frequency to match a separate, far lower frequency.

Since nonlinear oscillators can be found across a wide array of fields, from quantum mechanics to climate modelling, the discovery could enable researchers from many different backgrounds to better understand the systems they work with. In their study, Banerjee’s team used both simulations and experiments to explore the behaviours of ‘bistable’ oscillators, which can flip between two stable states of vibration. To do this, they subjected a bistable parametric system to two very different driving frequencies: one high, the other far lower.

Banerjee and colleagues made their calculations using ‘perturbation theory’, which finds approximate solutions to complex problems, starting from exact solutions to similar yet simpler problems. Through this technique, they showed that as the strength of a bistable parametric system’s high-frequency driving force is varied, its mathematically predictable, nonlinear response to a separate, low-frequency driving force varies in turn. Importantly, this means that the higher frequency’s strength can be tuned so that the oscillator’s frequency matches that of the low frequency driving force, causing it to resonate. The discovery could open up new opportunities for future studies of how nonlinear oscillators respond in a wide range of situations.

This was our first experience of publishing with EPJ Web of Conferences. We contacted the publisher in the middle of September, just one month prior to the Conference, but everything went through smoothly. We have had published MNPS Proceedings with different publishers in the past, and would like to tell that the EPJ Web of Conferences team was probably the best, very quick, helpful and interactive. Typically, we were getting responses from EPJ Web of Conferences team within less than an hour and have had help at every production stage.
We are very thankful to Solange Guenot, Web of Conferences Publishing Editor, and Isabelle Houlbert, Web of Conferences Production Editor, for their support. These ladies are top-level professionals, who made a great contribution to the success of this issue. We are fully satisfied with the publication of the Conference Proceedings and are looking forward to further cooperation. The publication was very fast, easy and of high quality. My colleagues and I strongly recommend EPJ Web of Conferences to anyone, who is interested in quick high-quality publication of conference proceedings.

On behalf of the Organizing and Program Committees and Editorial Team of MNPS-2019, Dr. Alexey B. Nadykto, Moscow State Technological University “STANKIN”, Moscow, Russia. EPJ Web of Conferences vol. 224 (2019)

ISSN: 2100-014X (Electronic Edition)

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