Vibrational and Stochastic Resonances in Driven Nonlinear Systems
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Date
2021-12
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Abstract
Nonlinear systems are abundant in nature. Their dynamics have been investigated very extensively, motivated partly by their multidisciplinary applicability, ranging from all branches of physical and mathematical sciences through engineering to the life sciences and medicine. When driven by external forces, nonlinear systems can exhibit a plethora of interesting and important properties—one of the most prominent being that of resonance. In the presence of a second, higher frequency, driving force, whether stochastic or deterministic/periodic, a resonance phenomenon arises that can generally be termed stochastic resonance or vibrational resonance. Operating a system in or out of resonance promises applications in several advanced technologies, such as the creation of novel materials at the nano, micro and macroscales including, but not limited to, materials having photonic band gaps, quantum control of atoms and molecules as well as miniature
condensed matter systems. Motivated in part by these potential applications, this 2-part Theme Issue provides a concrete up-to-date overview of vibrational and stochastic resonances in driven nonlinear systems. It assembles state-of-the-art, original contributions on such induced resonances—addressing their analysis, occurrence and applications from either the theoretical, numerical or experimental perspectives, or through combinations of these.
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Keywords
Nonlinear systems, Vibrational resonance, Stochastic resonance, Driven oscillators
Citation
Vincent UE, McClintock PVE, Khovanov IA, Rajasekar S. 2021 Vibrational and stochastic resonances in driven nonlinear systems. Phil. Trans. R. Soc. A 379: 20200226. https://doi.org/10.1098/rsta.2020.0226