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Concept for analyzing and modeling systems with nonproportional feedback, instabilities, and emergent phenomena.
Nonlinear dynamics studies systems whose response is not proportional to inputs, where feedback, instabilities and complex phenomena such as bifurcations or chaos arise. The concept guides design and analysis of technical and software-related systems to assess predictability, stability and robust control.
Distance to critical parameters where instability occurs.
Metric assessing system behavior under uncertainty.
Maximum oscillation magnitude as an indicator of unstable behavior.
A microservice exhibited oscillatory behavior under load spikes; nonlinear modeling identified feedback causes.
Simulation of a supply network showed multiple equilibria and switching behavior at certain parameters.
Nonlinear models helped derive safe operating bounds for autonomous controllers.
Capture the relevant system scope and states.
Construct a mathematical model including nonlinear terms.
Perform simulations across relevant parameter ranges.
Validate against measurements and derive concrete measures.