Why my conference talk on logistic maps turned into a disaster: Help with Lyapunov exponents in presentations

Last week during a panel on chaos theory, I accidentally calculated the Lyapunov exponent for my slide transitions using a linear decay model instead of the required exponential formulation. The result? A 45-minute lecture where my visual aids diverged like strange attractors while my audience’s confusion grew at a logistic rate.

Specifically, I misapplied the formula λ = limₜ→∞ (1/t) Σ log|df/dx| over my slide timing intervals. Instead of demonstrating sensitivity to initial conditions, my Powerpoint animations now resemble a damped harmonic oscillator.

This isn’t just academic. When I tried to pivot by saying "Ah yes, this illustrates the butterfly effect in real time," the chair had to intervene. How do you recover from a mathematical inconsistency in live public speaking?

Bonus question: Does anyone else struggle with the topology of stage presence? I swear my confidence interval shrank below statistical significance that day.