Question: 3. Mathematically (if possible) determine what the equilibrium points are for the system below and which (if any) are stable. Then, using MATLAB, produce

3. Mathematically (if possible) determine what the equilibrium points are for the system below and which (if any) are stable. Then, using MATLAB, produce a single phase-plane portrait for the following complex system for the initial conditions: [3, 1], [1, 1],[4, -2] and two of your choosing where (if possible) one converges to an equilibrium point and one does not. x+1.2x-4x+x = 0

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Solutions Step 1 Matlab code for phase potriat of 2d system clear all close all function f... 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

Students Have Also Explored These Related Mechanical Engineering Questions!

Determine a transfer function representation for the following state variable models using the tf function: (a) (b) (c) 3s23s 1 101 047 104 125 2 2 0

What is unique about how the courts are titled as compared to most other state courts in the country? In the context of the American legal system, New York courts stand out due to their distinctive...

Your organization has decided to implement an alternative energy solution due to the constant electricity outages that is affecting business effectiveness. Your director has appointed you as the head...

i. Simple rate-of-return (SRR) ii. Payback period (P) iii. Net present value (NPV) (assume i=10%) Table 1. Cash Flows for Investment Projects A, B, and C Year Investment A Investment B Investment C...

2.7. Explicit Solutions to Dierential Equations 109 power (kw) 20 15 10 5 0 08:00 10:00 12:00 14:00 16:00 time 18:00 2.7 Explicit Solutions to Dierential Equations In the very rare case in which an...

Math 1215 Second Project - Due November 14, 2016 General Instructions This project must be typed or written neatly and legibly by hand. (Messy work can cost up to 5 points.) Projects consisting of...

1. (Predator-Prey Model) (70 pts] Let us consider a predator-prey ecological system. In an isolated island, there are only two kinds of animals: tigers (predator) and hares (prey), and tigers have no...

Fraction of hosts infected Case Study 2 Hosts, Parasites, and Time-Travel 0.8 0.6 0.4 0.2 0 Past Contemporary Future Time Figure \u00031 Horizontal axis is the time from which the parasite was taken,...

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

Go to the Global Reporting Initiative's website (try www.globalreporting.org) and obtain and read the G4 Sustainability Reporting Guidelines Part 1 Reporting Principles and Standard Disclosures. (a)...

A local ventilation system (a hood and duct system) is used to remove air and contaminants from a pharmaceutical lab (Fig. P14-56). The inner diameter (ID) of the duct is D = 150 mm, its average...

Find the derivative of the function. f ( x ) = x 2 - 4 x 3 f ' ( x ) = - 3 2 x

Define the term return on investment. How is the return normally expressed? Give an example of a capital investment return.

What are three reasons that cash is worth more today than cash to be received in the future?

What is a capital investment? How does it differ from an investment in stocks or bonds?

Patten Corporation acquired an 85% interest in Savage Company for $3,100,000 on January 1, 2011. On this date, the balances in Savage Companys capital stock and retained earnings accounts were...

Jenek Corporation had the following transactions pertaining to debt investments. Jan. 1 Purchased 50 9%, $1,000 Leeds Co. bonds for $50,000 cash. Interest is payable semiannually on July 1 and...

Design a minimum-mass symmetric three-bar truss (the area of member 1 and that of member 3 are the same) to support a load P, as was shown in Fig. 2.9. The following notation may be used: Pu = P cos...

11.9. The data in Table P11.3 were collected by a chemical engineer. The response y is filtration time, x1 is temperature, and x2 is pressure. Fit a second-order model. (a) What operating conditions...

11.8. The data shown in the Table P11.2 were collected in an experiment to optimize crystal growth as a function of three variables x1, x2, and x3. Large values of y (yield in grams) are desirable....

11.6. The region of experimentation for two factors are temperature (100 # T # 300F) and catalyst feed rate (10 # C # 30 lb/in). A first-order model in the usual )1 coded variables has been fit to a...