Stochastic Resonance in Coupled, Nonlinear Oscillators

在过去的二十年里，随机共振，一种非线性现象，在随机系统中加入噪声导致相干放大的响应，已经被探索来解释从地球到地球的系统动力学。气候对猴子感觉神经元的影响？年代的耳朵。尽管在物理和生物系统的背景下已经开展了大量的工作，但非线性机械和结构系统，特别是其转导特性的噪声的使用尚未得到广泛探索。这将通过对耦合非线性机械和结构系统中随机共振现象的基本理解来解决，并利用这种理解来开发新的机械和结构设计方法，这些方法结合随机共振的优点来增强这些系统的机械转导能力和信号检测能力。期望这种理解将有助于在非线性系统的设计中以建设性的方式使用噪声。从基本的角度来看，由于随机共振与物理系统（冰期的周期性递归、环形激光、施密特触发器、光学装置、磁系统）、化学系统和生物系统（感觉神经元）有关，因此本研究的发现预计对包括许多外部机械和结构系统在内的广泛非线性系统具有重要意义。例如，该研究的某些方面将对量子计量和量子计算等前沿研究领域产生影响。从应用的角度来看，将谐振器阵列中随机共振的优势扩展到微尺度和纳米尺度，可以在传感技术和纳米器件领域产生商业效益。最后，随机共振在纳米尺度科学中系统地应用于具体问题，有望对未来几代学生的教育起到重要作用。

Over the last two decades, stochastic resonance, a nonlinear phenomenon in which the addition of noise to a stochastic system leads to a coherently amplified response, has been explored to explain the dynamics of systems ranging from the Earth?s climate to sensory neurons in a monkey?s ear. Although considerable work has been carried out in the context of physical and biological systems, the use of noise for the benefit of nonlinear mechanical and structural systems, in particular, their transduction properties, has not been widely explored. This is to be addressed here by developing a fundamental understanding of the phenomenon of stochastic resonance in coupled, nonlinear mechanical and structural systems, and use this understanding to develop novel mechanical and structural design methodologies that incorporate the advantages of stochastic resonance for enhancement of the mechanical transduction capabilities and signal detection capabilities of these systems. It is expected that this understanding will help use noise in a constructive manner in the design of nonlinear systems. From a fundamental standpoint, as stochastic resonance is relevant to physical systems (periodic recurrences of ice ages, ring lasers, Schmitt triggers, optical devices, magnetic systems), chemical systems, and biological systems (sensory neurons), the findings of this study are expected to be important for a wide range of nonlinear systems including many outside mechanical and structural systems. For example, certain aspects of the study will carry implications for frontier research areas such as quantum metrology and quantum computation. From an application standpoint, the extension of the advantages of stochastic resonance in resonator arrays to the micro-scale and nano-scale can produce commercial benefits in the areas of sensing technologies and nanodevices. Finally, the application of stochastic resonance in nano-scale science to specific problems in a systematic manner is expected to be important for the education of future generations of students.