Modern systems are becoming increasingly integrated and complex, which makes their management and understanding more challenging. This rising complexity raises the risk of system failures, emphasizing..
Modern systems are becoming increasingly integrated and complex, which makes their management and understanding more challenging. This rising complexity raises the risk of system failures, emphasizing the importance of Resilience Engineering, a field dedicated to studying how systems perform under disruptions. However, the concept of resilience is interpreted in many ways, leading to a variety of measurement methods without a standardized approach. Additionally, conventional techniques like linear recovery models or probability-based methods often fall short when dealing with the nonlinearity and scale of contemporary systems. Bifurcation Analysis (BA) offers a mathematical approach to understanding how systems behave under changing conditions by examining nonlinear behaviors and transitional states, known as bifurcations. Although BA has been successfully applied in numerous fields, its adoption in Resilience Engineering remains limited. This paper further develops a novel framework that utilizes BA to assess the resilience of complex systems, demonstrated through a Multiple Input Multiple Output case study: the Oregonator autocatalytic reaction model.
