Theoretical and Applied Mechanics Letters 13 (2023) 100457.
doi: 10.1016/j.taml.2023.100457
Abstract:
Nonlinear and stochastic dynamics is essential and practical in almost all branches of natural science and engineering. It has been a central subject to understand various complex dynamics, such as random vibration, stochastic transition, synchronization, et al., in the areas of mechanical and aerospace engineering, physics and chemistry. For example, the stochastic resonance has been utilized effectively in mechanical fault diagnosis and weak signal detection. Naturally, many methods have been developed to get the stochastic responses, including stochastic averaging method, multiple scale method and path integral method, and so on. Theories of stochastic transition, including stochastic bifurcation, stochastic resonance and first passage process have been proposed to reveal the action mechanism of noises. Consequently, various applications have been found in mechanical, physical, and biological fields. However, the present framework, is far from revealing the underlying mechanisms and principles for many issues. It requires more attention to the non-Gaussian noise, high-dimensional systems, new combination with deep learning, and applications to frontier areas, to name but a few. Therefore, this special issue is organized to report the recent developments in nonlinear and stochastic dynamics, specially focusing on stochastic methods, stochastic dynamics and applications.
Yong Xu, Yongge Li and Stefano Lenci. Advance on stochastic dynamics/nonlinear and stochastic dynamics[J]. Theoretical and Applied Mechanics Letters. doi: 10.1016/j.taml.2023.100457.