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Area of Science:

  • Complex Systems Dynamics
  • Nonlinear Dynamics and Chaos Theory
  • Thermodynamics and Fluid Dynamics

Background:

  • Systems can abruptly shift from desirable to undesirable states, causing catastrophic consequences.
  • Early Warning Signals (EWSs) are used to predict these critical transitions (tipping points).
  • The effectiveness of EWSs is questioned when system parameters change rapidly.

Purpose of the Study:

  • To investigate the applicability of EWSs in preventing tipping events under fast parameter changes.
  • To explore the 'borrowed window of safe operation' created by delayed tipping.
  • To analyze factors influencing the success of EWS-based prevention strategies.

Main Methods:

  • Experimental investigation using a horizontal Rijke tube as a paradigmatic thermoacoustic system.
  • Controlled variation of system parameters to induce tipping events.
  • Monitoring of EWSs and system state to assess prediction accuracy and prevention timing.
  • Analysis of successful and unsuccessful prevention interventions.

Main Results:

  • EWSs detected tipping past bifurcation points under rapid parameter changes.
  • Fast parameter variation delayed the tipping event, creating a temporary safe operating window.
  • The study demonstrated both successful and unsuccessful tipping prevention scenarios.
  • Interplay between warning time, prevention action, and parameter change rate was highlighted.

Conclusions:

  • While EWSs may detect tipping late under rapid changes, the induced delay offers a critical window for intervention.
  • Effective prevention depends on swift action, appropriate intervention strategies, and the rate of parameter variation.
  • This research provides insights into managing critical transitions in dynamic systems.