Solved by verified expert:Question 1:The skinny baker map was defined in Chapter 4. It is a map of the unit square S in the plane which exhibits many typical properties of chaotic maps. See Figure 4.3 of Chapter 4 to recall the geometric behaviorThe equations are written there, but we write them again in a slightly different form:The middle third of the rectangles that remain are mapped out on each iteration. Define the invariant set A of B to be the points that lie in Bn(S) for every positive and negative integer n. The invariant set is a middle-third Cantor set of vertical lines. We call the set A invariant because it has the property that B-1(A) = A.A) Find the area of Bn(S). Note that B is an area-contracting map, hence its name.B) Find a general formula for (area-contracting) skinny baker maps, where the strips have width w instead of 1/3. Find the area contraction factor (per iteration) and the Lyapunov exponents.Question 2: (A) Find the exact intervals on the coordinate axes corresponding to the forward images of B (the skinny baker map), .S1S2S3S4 , and the backward images of B, S-3S-2S-1S0. (it is OK to draw the unit square and the corresponding labelled rectangles like in fgures 5.12 and 5.13 and specify the points on the x-axis or y-axis respectively).(B) Determine the sequence S-3S-2S-1S0.S1S2S3S4 corresponding to the fi xed points of period 1 and 2 for B.
repostyourquestionhere40_00.zip
Unformatted Attachment Preview
…
Purchase answer to see full
attachment
You will get a plagiarism-free paper and you can get an originality report upon request.
All the personal information is confidential and we have 100% safe payment methods. We also guarantee good grades
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more