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...

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...

Research Background and Problem Introduction Nonlinear wave systems are core research topics in fields such as physics, optics, and condensed matter physics. However, real-world nonlinear wave systems are often subject to random noise interference, which can significantly alter the behavior of waves, such as soliton propagation, wave turbulence for...

In today’s era of information explosion, decision-makers are faced with a vast amount of information, not all of which is relevant to their decisions. To better make optimal decisions in data-rich environments, the Rational Inattention (RI) model has been introduced into the field of economics. The core idea of this model is that decision-makers ne...

Research Report on Identifying New Classes of Financial Price Jumps Using Wavelets Academic Background Price jumps in financial markets refer to significant price fluctuations occurring within an extremely short period, typically caused by exogenous factors (such as sudden news) or endogenous factors (internal market feedback mechanisms). Distingui...