Academic Background In nonlinear dynamical systems, frequency switching has garnered significant attention in recent years due to its ubiquitous presence in the real world and its distinctive fast-slow dynamics. Frequency switching can induce divergence behaviors at certain switching thresholds, destabilizing bursting solutions in slowly excited ve...

Background Introduction In aerospace engineering, thin laminated composite structures (such as wings) are prone to vibration under high-speed airflow, which may lead to instability phenomena such as flutter or divergence, affecting the safety and performance of aircraft. Particularly, when delamination (i.e., adhesive failure between layers) exists...

Parameter Identification of a Nonlinear Vertical Axis Rotating Machine: An Innovative Approach Based on Reduced Order Modeling and Data Assimilation Academic Background In modern engineering, the modeling of nonlinear dynamic systems is a crucial research area. However, such systems often involve parameters that are difficult to measure or estimate...

Academic Background Introduction The motion of a pendulum is one of the fundamental problems in classical mechanics, while the vibration of a pendulum on a flexible and stretchable string involves more complex nonlinear dynamic phenomena. Such problems have broad significance in practical applications, such as in engineering structures, biomechanic...

Background In modern scientific and industrial research, the dynamic behavior of non-Newtonian fluids has garnered significant attention due to their unique rheological properties and wide-ranging applications. Unlike Newtonian fluids, non-Newtonian fluids such as polymers, slurries, and biological fluids exhibit complex nonlinear relationships bet...