Period Doubling & a Bifurcation Table: Long-Run Values for Each r
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Lessons in this course
- Iterating a Function: Recurrences Copied Down & the Cobweb IdeaFree
- Fixed Points & Stability: the Test |f′(x*)| < 1 Pro
- The Logistic Map for Different r: Convergence, a 2-Cycle & Chaos (with a Chart) Pro
- Period Doubling & a Bifurcation Table: Long-Run Values for Each r Pro
- Sensitive Dependence: Two Starting Points a Millionth Apart Pro
- The Lyapunov Exponent: Averaging ln|r(1 − 2x)| Along an Orbit Pro
- Population Models: the Ricker Map, Oscillations & Harvesting Pro
- Mandelbrot & Julia Sets: Escape-Time Counts, an Area Estimate & a Colour Scale Pro