A Framework to use Bifurcation Analysis for Insight into Complex Systems Resilience

Critical Transitions;Bifurcation Analysis;Resilience Engineering;Complex Systems

The increasing complexity and integration of systems present challenges in understanding and managing these systems, as highlighted by the INCOSE Systems Engineering Vision for 2035. Bifurcation analysis, a mathematical system dynamics technique, offers a different perspective by examining how systems behave under changing conditions. This paper aims to bridge the gap between bifurcation analysis and Resilience Engineering, offering a framework for integrating both approaches.