Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

1) describe lyapunov function theory and how it can be used to prove global assmptotic stability of solutions.(Give an ex form natural and engineering sciences.)
Draw level sets of Lyapunov function.

2) Discuss Perron-Frobenius theorem and how it can be used to prove global stability of solutions(Give an ex)                          .

3) Discuss the stability of solutions of non-autonomous system dx/dt=f(x,t).  

4) Discuss bifurcation theory, and show how to(theoretically) characterise varies, bifurcation types apriori (saddle-node, pitchfork, hopf, transcritical).Show to characterise super and sub-critical pitchfork and hopf.(Give an ex of each)

i) transcritical.

ii) pitchfork(super and sub-critical)

iii) Hopf(super and sub-critical)

iv) saddle-node

Use matlab or maple software.
How to starting the project main ideas: looks like story.

1) what it is ?

2) motivation/ applications.

3) Theory (Give related theorem and proof (some detail))./mechanics(how to find it and compute it algorithmic).

4) Given some ex(one will do but given)  (population biology research: used centre manifold theory to prove backward bifurcation).

5) Limitations/applicability Non- autonomous→poincare’ section.

Math, Academics

  • Category:- Math
  • Reference No.:- M91128

Have any Question? 


Related Questions in Math

Assignment conflict resolutionconflict resolution is a

Assignment: Conflict Resolution Conflict resolution is a necessary skill for any manager or leader. In this assignment, you will examine the difference between conflict and competition. You will also explore ways of dete ...

Applying key skillsnbspplease respond to the

"Applying Key Skills" Please respond to the following: Describe the key skills you learned in this course. Explain how you expect to use those skills in your future academic, personal, and / or professional life. Recomme ...

1 complete the algebra that leads to the transcendental

1. Complete the algebra that leads to the transcendental equations given by (155.5), (155.6) and (155.7) of the finite 1-d square well. 2. For advanced students, find the condition on (or value of) well depth, V 0 , and ...

Assignment 1 should you believe a statistical studywe are

Assignment 1: Should You Believe a Statistical Study? We are bombarded by statistical information from a wide variety of sources. Much of the statistical research performed in the world is conducted with a great deal of ...

1 list and describe common steps in the evaluation of

1. List and describe common steps in the evaluation of vendor proposals. Construct a checklist with support for each item that you have included. 2. Why do companies use Service-Level Agreements (SLAs)? Give your answer ...

Directions be sure to save an electronic copy of your

Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and ...

1 draw the graph of the following linear function and give

1. Draw the graph of the following linear function and give the domain and range. f(x) = -½x + 5 2. Solve the following equation. |x| = 3. 3. Give the inequality whose graph is shown below. 4. Evaluate the following expr ...

Mathematical models are used as tools to describe reality

Mathematical models are used as tools to describe reality. These models are supposed to characterize the important features of the analyzed phenomena and provide insight. The normal distribution is an example of a random ...

From a point on the south rim of a canyon it is found that

From a point on the South Rim of a canyon, it is found that the angle of elevation to a point on the North Rim is 2.6°. If the horizontal distance between the points is 8.4 mi, how much higher is the point on the North R ...

At the age of 35 to save for retirement you decide to

At the age of 35, to save for retirement, you decide to deposit $100 at the end of each month in an IRA that pays 5.3.% compound monthly. A) How much will you receive when you retire at the age of 65? B) Find the interes ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro