Logistic Equation, Fractals and Chaos, Introduction To MATLAB Programming, Mathematics, MIT OpenCour

Logistic Equation. Homework 4. For \(r\) varying between 0 and 4, find out the possible "limit cycles" § of the iterative map: This converges to a single value for some values of \(r\) but for others results in an "orbit", which can be very long. For every \(0 hold on so that each plot doesn't erase the previous ones. Find how to make the plot have small dots as markers. Can you allow the user to "zoom in" on your plot? Once asked to see a region smaller than \((0, 4)\times(0, 1)\) you should probably increase the "density" of your \(r\) measurements, and confine the plotting of the points so that only the requested \(x\)'s are plotted. § a limit cycle is an orbit of an iterative map that the dynamics of the problem converges to, regardless of the initial condition. This is one of over 2,200 courses on OCW. Find materials for this course in the pages linked along the left. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates. Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer credit or certification for using OCW. Made for sharing . Download files for later. Send to friends and colleagues. Modify, remix, and reuse (just remember to cite OCW as the source.)