Bifurcation Analysis for Complex Systems Resilience
Abstract
As technology advances, systems are growing in complexity and interactivity. This complexity in systems can become a problem when operating and understanding them. Resilience Engineering studies system behavior in the face of impacts. However, existing methods to measure resilience are limited by the non-linear and dynamic characteristics of contemporary systems. Bifurcation analysis can present a different perspective into Resilience Engineering by examining mathematically how systems behave under changing situations. The hypothesis of this work is: if Bifurcation analysis is performed to a nonlinear system, then it is possible to get information on the resilient properties of the system. The paper aims to bridge the gap between bifurcation analysis and Resilience Engineering, offering a framework for integrating both approaches. Future efforts will focus on using the framework practically, to improve the framework to make it more accessible, versatile, and reliable.
Bifurcation Analysis for Complex Systems Resilience
As technology advances, systems are growing in complexity and interactivity. This complexity in systems can become a problem when operating and understanding them. Resilience Engineering studies system behavior in the face of impacts. However, existing methods to measure resilience are limited by the non-linear and dynamic characteristics of contemporary systems. Bifurcation analysis can present a different perspective into Resilience Engineering by examining mathematically how systems behave under changing situations. The hypothesis of this work is: if Bifurcation analysis is performed to a nonlinear system, then it is possible to get information on the resilient properties of the system. The paper aims to bridge the gap between bifurcation analysis and Resilience Engineering, offering a framework for integrating both approaches. Future efforts will focus on using the framework practically, to improve the framework to make it more accessible, versatile, and reliable.