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

Biotechnical engineering specializes in developing new

Biotechnical Engineering specializes in developing new chemicals for agricultural applications. The company is a pioneer in using the sterile-male procedure to control insect infestations. It operates several laboratorie ...

A teacher wishes to pick a hall monitor and an assistant

A teacher wishes to pick a hall monitor and an assistant hall monitor from her class of 29 students. In how many different ways can the selection be made?

When implementing diversity across the workplace why should

When implementing diversity across the workplace why should you promote and model inclusive behaviours?

James bought 5 apples and 10 oranges for 4 donald bought 3

James bought 5 apples and 10 oranges for $4. Donald bought 3 apples and 9 oranges for $3. The shop keeper strictly told that there will not be any discounts. What is the cost of an apple and an orange?

The united postal service requires that for any rectangular

The United Postal Service requires that for any rectangular package, the sum of its length and girth (cross sectional distance) not exceed 108 inches. Determine the dimensions of the package of largest volume that may be ...

A wheel made 920 revolutions at 29 19 revolutions per

A wheel made 920 revolutions at 29 1/9 revolutions per minute. How many minutes did it rotate?

Frogs have been breeding like flies at the enormous state

Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago ...

Calculating cube of numberssquaring numbers ending with

Calculating cube of numbers, Squaring numbers ending with 5 15 2 =? 45 2 =?

A functionnbspfnbsphaving domain the closed interval a b is

A function f having domain the closed interval [a, b] is defined to be convex on the closed interval [a, b] if and only if f(ta+ (1-t)b)≤tf(a) + (1-t)f(b) for any t between zero and one inclusive (i.e., 0≤t≤1). Use this ...

The value of most assets such as a car or computer

The value of most assets, such as a car or computer, depreciates, or drops, over time. When as asset depreciates by a fixed amount per year, the depreciation is called straight-line depreciation. Suppose a car has an ini ...

  • 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

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate