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

At a county fair truck pull two pickup trucks are attached

At a county fair truck pull, two pickup trucks are attached to the back end of a monster truck. One of the pickups pulls with a force of 2000 pounds and the other pulls with a force of 3000 pounds with an angle of 60° be ...

1 what is the accumulated value of deposits of 112000 made

1. What is the accumulated value of deposits of $1120.00 made at the end of every six months for three years if interest is 8.48% compounded quarterly? 2. A loan is repaid by making payments of $6000.00 at the end of eve ...

Consider the boundary value problem -ux ux -2 on-1 1 with

Consider the boundary value problem -u"(x) + u(x) = -2 on(-1, 1) with u(-1) = 0 and u(1) = 0. 1. What is the weak formulation of the equation? 2. Divide (-1, 1) into two subintervals of equal size and apply the method of ...

1 find an equation of the parabola that has a focus at

1. Find an equation of the parabola that has a focus at (3,11)and a vertex at (3,9): y= Find an equation of its directrix: y= 2. Find the equation for the parabola that has its focus at the (-41/4,-6)and has directrix at ...

What are the best ways to mitigate risk in health care

What are the best ways to mitigate risk in health care settings? Consider a focus on patient safety/satisfaction, data, and culture of the institution. Analyze at least three methods to mitigate risk, providing examples ...

Find the x- and y-intercepts of the line represented by the

Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and draw the line through them. 10x + 3y = 15

Starting with the number six and counting by 2s i need to

Starting with the number six and counting by 2s I need to know what the 100th number would be? Most of all I need to know the formula is to figure it out.

Kickstarter is a web site that enables independent creative

Kickstarter is a Web site that enables independent creative professionals to raise funds for lofty commercial projects. Entrepreneurial artisans ask for pledges at fixed price points in exchange for tiered thank-you gift ...

What are the future and present value of an annuity of 100

What are the future and present value of an annuity of $100 payable atthe beginning of each quarter for 15 years if the interest rate is 12% compounded quarterly?

1 show that when you apply node splitting to a nonreducible

1. Show that when you apply node splitting to a nonreducible ow graph, and then perform T1-T2 reduction on the resulting split graph, you wind up with strictly fewer nodes than you started with. 2. What happens if you ap ...

  • 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