Dynamical system and differential equations, Mathematics

Assignment Help:

1. Discuss lyapunov function theory and how it can be used to prove global assmptotic stability of solutions.(Give an example 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 example) .

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 charactrise super and sub-critical pitchfork and hopf.(Give an example of each)

1) transcritical.

2)pitchfork(super and sub-critical)

3)Hopf(super and sub-critical)

4)saddle-node


Related Discussions:- Dynamical system and differential equations

Algebra problem solving , A rectangles lenth is (x+4) and width is (x+3).By...

A rectangles lenth is (x+4) and width is (x+3).By adding binomials give its perimiter

Implementation of kruskal algorithm, You are required to implement Kruskal'...

You are required to implement Kruskal's algorithm for finding a Minimum Spanning Tree of Graph.  This will require implementing : A Graph Data Type (including a display meth

Scaling and translation for equations, Q. Scaling and translation for equat...

Q. Scaling and translation for equations? Ans. If you have an equation in the form y= f(x) (if you're not familiar with functions, that just means having "y" on the left s

the comic book, a) The first comic book is of shakitman was sold in 1938. ...

a) The first comic book is of shakitman was sold in 1938. In 2010, the estimated price for this comic book in good condition was about $500,000. This represented a return of 25 per

Converting., I need help converting my project fractions into 1

I need help converting my project fractions into 1

Evaluate the area and perimeter of a square, Evaluate the area and perimete...

Evaluate the area and perimeter of a square: Example: Calculate the area and perimeter of a square with a = 5´.  Be sure to include units in your answer. Solution:

Converting, I need help converting my project fractions to the number 1.

I need help converting my project fractions to the number 1.

Climate and vegetation of southeast asia, 1.) How does the monsoon influenc...

1.) How does the monsoon influence the climate and vegetation of Southeast Asia? 2.) What is the main crop in Southeast Asia and the main systems by which it is produce? How and

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd