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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
Pat is making a Christmas tree skirt. She needs to know how much fabric to buy. Using the example provided, calculate the area of the skirt to the nearest foot. a. 37.7 ft 2
1. In Figure there are three cameras where the distance between the cameras is B, and all three cameras have the same focal length f. The disparity dL = x0 - xL, while the disparit
There isn't actually a whole lot to this section this is mainly here thus we can get several basic concepts and definitions out of the way. Most of the concepts and definitions in
which fractions is equivalent to 5/ 6 a.20/24 b.9/10 c.8/18 d.10/15
Determining the Laplace transform of a function is not terribly hard if we've found a table of transforms opposite us to use as we saw in the previous section. What we would want t
Find out the volume of the solid obtained by rotating the region bounded by y = (x -1) ( x - 3) 2 and the x-axis about the y-axis. Solution Let's first graph the bounded r
a pizza driver delivered 27 pizzas in one night he delivered more then one pizza to only one house . every other house he only delivered pizza to 18 houses . how many pizzas did he
OQRS IS A QUADRILATERAL SUCH THAT OQ= -6,3 OR= -3,7 AND OS= 1,5. T IS ON OQ SUCH THAT OT: TQ= 1:2 PROVE THAT QRST IS AA PARALLEGRRAM
Correlation and Regression CORRELATION is an important statistical concept which refers to association or interrelationship among variables. The reasons of studying correla
Calculate the area and perimeter of a right triangle: Calculate the area and perimeter of a right triangle with a 9" base and sides measuring 12 and 15. Be sure to involve th
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