When systems begin to falter: resilience as a temporal dynamic

A power cut, a disruption to traffic control systems, or a networked industrial plant that goes out of sync: it is in situations like these that the true resilience of technical systems is revealed. What matters is not just that a disruption occurs – but how that disruption develops over time.

In a recent paper, researchers at the Brandenburg University of Technology Cottbus-Senftenberg (BTU) describe a fundamentally new understanding of the resilience of technical systems: resilience is not a static property, but a time-dependent dynamic process. It is precisely this temporal development that lies at the heart of the analysis – rather than a single parameter.

From a snapshot to dynamics: a new understanding of resilience

Until now, resilience has often been described as a snapshot – for example, using individual indices or measured values. The new approach, however, shows that real systems can only be understood by considering their entire temporal evolution.

“Up until now, we have often viewed resilience as a photograph – as a snapshot,” explains Peter Langendörfer. “Our work shows that we need to look at the whole film: it is only by examining the temporal progression that we can see how well a system can really cope with disruptions.”

This clearly shifts the central focus: away from the state – towards the dynamics.

Temporal progression as the core of the analysis

The researchers therefore do not look at individual system states, but at the complete course of a disturbance. The focus is in particular on:

  • how severely a system is thrown off balance
  • how quickly it stabilises again
  • and how long the after-effects of the disturbance persist

This development is described as a risk trajectory – that is, the temporal evolution of the system risk.

The underlying structure of the new approach: peak and damping

To describe these dynamics, the study identifies two key parameters:

  • Peak (maximum amplitude): How severely does the disturbance affect the system?
  • Damping (recovery dynamics): How quickly does the system return to a stable state?

These parameters should not be understood as competing explanations, but rather as concrete manifestations of the new dynamic understanding of resilience.

“Resilience is not a single metric, but arises from the dynamics of a system,” says Elisabeth Vogel. “The key factor is the interplay between the severity of the disturbance and the system’s ability to recover.”

Why traditional assessments fall short

A simplified example illustrates the relevance: two systems may be exposed to the same disturbance, yet react differently. Whilst one recovers quickly, the other remains impaired for longer.

It is precisely these differences in recovery time and overall stress that often remain hidden in traditional, static assessment approaches. The new approach makes them systematically visible for the first time by focusing on the temporal progression.

Resilience meets systems theory

For the first time, this work directly links the practical assessment of resilience with the mathematical theory of dynamic systems. This makes resilience not only measurable but also explainable – as the result of stability, feedback and temporal behaviour.

Implications for critical infrastructure

Whether it be energy supply, transport or industry: modern infrastructures are highly interconnected and complex. It is therefore not only the failure itself that is crucial, but also its temporal progression.

“For critical infrastructure, it is not enough to know that something has failed,” says Peter Langendörfer. “We need to understand how this failure develops over time – only then can systems be designed to be truly resilient.”

Looking ahead

In future, the researchers aim to validate their approach using real-world data and apply it to more complex systems. They also plan to utilise data-driven and AI-based methods. The aim is not only to describe system behaviour in the event of a disruption, but also to predict it and control it in a targeted manner.

Press Contact
Kristin Ebert
Kommunikation und Marketing
T +49 (0) 355 69-2115
kristin.ebert(at)b-tu.de

Technical Contact
Prof. Dr. rer. nat. Peter Langendörfer
Drahtlose Systeme 
T +49 (0) 355 69-2397 
peter.langendoerfer(at)b-tu.de

Elisabeth Vogel
Drahtlose Systeme 
T +49 (0) 355 69-3482 
elisabeth.vogel(at)b-tu.de

Whether it is the electricity grid, a traffic management system or an industrial plant: what matters is not only how high a risk is, but how it evolves over time. Researchers at BTU Cottbus-Senftenberg are investigating these risk dynamics as a basis for assessing resilience. (Photo: U. J. Alexander – stock.adobe.com)

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