Background Introduction Complex systems are ubiquitous in nature, appearing in various forms such as neural networks, social networks, and power grids. Understanding the dynamical transitions within these systems is often achieved through mathematical models, particularly coupled nonlinear oscillators, which exhibit a wide variety of collective beh...

Background Introduction In modern engineering practices, under-actuated systems are widely used in fields such as overhead cranes, wheeled inverted pendulums, and snake robots due to their simple structure, low energy consumption, and high flexibility. However, the number of control inputs in under-actuated systems is less than the degrees of freed...

Academic Background With the increasing demand for high-speed and lightweight design in the aviation industry, more and more aviation transmission shaft systems have adopted supercritical design. Supercritical design means that the drive shaft must cross its first critical speed, but when crossing the critical speed, the shaft system will produce s...

Academic Background Complex Networks (CNs) play a crucial role in fields such as sociology, engineering, and natural sciences, and are widely applied in scenarios like power distribution, traffic dispatching, and multi-agent collaboration. However, due to factors such as communication packet loss, sensor noise, and environmental uncertainties, obta...

Academic Background In today’s complex network systems, state estimation is a critical issue, especially when dealing with uncertainties and noise. Complex networks typically consist of multiple interconnected nodes, and the dynamic behavior of each node may be influenced by nonlinear factors. The Takagi-Sugeno (T-S) fuzzy model has demonstrated si...

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...

The Influence of Double Delays in a Diffusive Predator-Prey System: A Study Using the Stability Switching Curve Method Academic Background The predator-prey model is one of the fundamental models in ecology for studying population interactions. Although these models may seem simple, they can generate complex dynamic structures and even lead to chao...

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...

Research on Finite-Time Adaptive Robust Trajectory Tracking Control for Dual-Arm Space Robots Research Background and Problem With the rapid development of space technology, space robots are playing an increasingly important role in on-orbit servicing, satellite assembly, spacecraft refueling, and other tasks. However, space robot systems face nume...