Is a turbulent burner chaotic system?

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This is a plot of temperature evolution with time of a specified flame zone of a highly turbulent combustion burner:

Temperature vs Time

  • Blue (Lo) = temperature evolution at a "low" speed of inlet fuel
  • Orange (Hi) = temperature evolution at a "high" speed of inlet fuel

The speed of the inlet fuel is part of the initial conditions.

My question is: is this a chaotic or non-chaotic system?

I know for a fact that Reynolds number is well above 30K (super turbulent) but I also see that this system "does not care" about the initial conditions - as long as there is ignition, the flame temperature always reaches around 2000 K, which makes sense. I also calculate the Largest Lyapunov exponent for this system and it is positive (close to 0) - indication of non-chaos.

So I am just trying to get my head around this as the system is super turbulent (chaotic) yet it is insensitive to the change in initial conditions? How do you interpret this correctly?