Sensitive Dependence: Two Starting Points a Millionth Apart
This lesson is part of the course
In this lesson
You run two orbits of the chaotic logistic map whose starts differ by 0.000001, track the gap, find when it passes 0.1 and measure its average growth per step.
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Lessons in this course
- Iterating a Function: Recurrences Copied Down & the Cobweb Idea Locked
- Fixed Points & Stability: the Test |f′(x*)| < 1 Locked
- The Logistic Map for Different r: Convergence, a 2-Cycle & Chaos (with a Chart) Locked
- Period Doubling & a Bifurcation Table: Long-Run Values for Each r Locked
- Sensitive Dependence: Two Starting Points a Millionth Apart Locked
- The Lyapunov Exponent: Averaging ln|r(1 − 2x)| Along an Orbit Locked
- Population Models: the Ricker Map, Oscillations & Harvesting Locked
- Mandelbrot & Julia Sets: Escape-Time Counts, an Area Estimate & a Colour Scale Locked