Question: A really interesting situation occurs for the logistic equation, Equation 4.46 when a = 3.82831 and x1 = 0.51. Show that a three cycle occurs

A really interesting situation occurs for the logistic equation, Equation 4.46 when a = 3.82831 and x1 = 0.51. Show that a three cycle occurs with the approximate x values 0.16, 0.52, and 0.96 for the first 80 cycles before the behavior apparently terns chaotic. Find for what iteration the next apparently periodic cycle occurs and for how many cycles it stays periodic.

Step by Step Solution

★★★★★

3.50 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The threecycle does indeed occur where indicated in the problem and does turn chaotic ne... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-C-D-N-O (15).docx

120 KBs Word File

Students Have Also Explored These Related Classical Dynamics Of Particles Questions!

Show that the equation x101 + x 51 + x 1 = 0 has exactly one real root.

Show that y = x x1 is a solution of the differential equation xy` + y = 2x.

Equation 14.34 indicates that a red (blue) shift occurs when a source and observer are receding (approaching) with respect to one another in purely radial motion (i.e., β = β,). Show that,...

summarize the main idea of each article, discuss issues being highlighted briefly, give opinion pertaining the coverage of each article and provide recommendations for each issue in the article....

PowerPoint Assignment for BUS 401: Principles of Finance You have been asked by a manager in your organization to put together a training program explaining Net Present Value (NPV) and Future Value...

I have attached the discussion board 6 questions,scenario. and lectures for yourreview and response. I will submit a students questions for a response when I receive one. Thank You MKT500 Discussion...

University of Hartford Department of Civil, Environmental and Biomedical Engineering CE 320 Water Resources Engineering Spring Semester 2017 Lab #5 - Pump Performance Characteristics Report Outline...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Controller, Judy Koch, in a recent speech said, "I rarely see a real variable cost or a truly fixed cost." What did she mean? Include in your response an explanation of the difference in behavior of...

includes information on active and inactive vendors and the orders made to date. O Customer relationship management system O Supply chain system O Data support system O Human resource system

Harvard Products Company produces three products, X, Y, and Z, from a single joint process. The company uses the average unit cost method for allocating the joint production cost. Some spoilage...

1. LO.2 Uncle Tom promised John, Come and take care of me, and I will leave you the farm when I die. John took care of Uncle Tom for the five years preceding his death. When Uncle Tom died, in...

On 1/1/18, Paper Corporation purchased 100 percent of Simple Company at a cost of $1,600,000. Paper is a U.S.-based company and Simple is in Cairo, Egypt. Paper uses the equity method to account for...

The GFA Company, originally established 16 years ago to make football, is now a leading producer of tennis balls, baseballs, footballs, and golf balls. Nine years ago, the company introduced High...

Kate disposed of a number of assets during the year ended 30 June 2018 for which the details are as follows: Sold an antique vase on 17 August 2017 for $11,000 that she originally purchased for...

Jim Nelson, owner of Hula Hut Burger has contacted your accounting firm to review his fixed asset records. Hula Hut Burger is the home of the tastiest burger in the world and specializes on serving...

Gloria Suarez is a 31-year-old single mother who contacted the Gulf Coast Counseling Center concerning therapy for herself. She told the intake worker that she was feeling very down and exhausted and...

One-third of the total market value of Johnson plc consists of bonds with a cost of 10 per cent. York plc is identical in every respect to Johnson except that it is financed by equity alone. Yorks...

It has been determined that, in aggregate, financial institutions with depository accounts currently hold excess reserves equal to $3 billionthat is, they hold $3 billion more than is necessary to...

You are choosing between two projects. The cash flows for the projects are given in the following table ( $ million): a. What are the IRRs of the two projects? b. If your discount rate is 4.7%, what...

You are thinking of purchasing a house. The house costs S350,000. You have S50,000 in cash that you can use as a down payment on the house, but you need to borrow the rest of the purchase price. The...