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x'=ux-y+x^3, y'=bx-y.
(a). Locate any local bifurcations that occur as u and b are varied. Analyze the bifurcations fully. (To do this you will need to transform to the linearized normal form at the critical point. If the bifurcation occurs in one dimension you then need to calculate an approximation to the center manifold in which it occurs.)
(b).Investigate the presence of limit cycles both analytically and numberically.
(c).Investigate the presence of homoclinic/heteroclinic orbits and global bifurcations numerically.
(d).Present a conclusion of all your findings which includes a bifurcation diagram
The sides of a triangle are in the ratio of 3:4:5. If the perimeter is 90 centimeters, find the length of each side. Use the Pythagorean Theorem to find the length of the missing side in right triangle. Triangle ABC with right triangle C.
State the inverse, the converse, and the contrapostive of the given statements.
Probability: Birthdays on the Same Day, Determine the number of people needed to ensure that the probability at least two of them have the same day of the year as their birthday is at least 70 percent
An open box is to be made from a six inch by six inch square piece of material by cutting equal squares from the corners and turning up the sides. Find the volume of the largest box that can be made
If you know the order of the normalizer N of can you find the generators for N? Give a solid math argument why this is correct and please keep the answer as simple as possible at the same time.
A survey of fruit tree growers showed the following: How many grew exactly two of these three? How many fruit tree growers were surveyed?
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the cos..
Please show me how to solve this first order linear differential equation:
What is the probability that among the 12 months of the year there are 3 non necessarily consecutive months containing exactly 4 birthdays?
Harold operates a hot dog stand at the Jugulars football games. He pays $2000 per game to rent the space. Each hot dog (with bun and condiments) costs him $0.33, and he sells hot dogs for $3 each.
b. Calculate the number of days with a demand for 3 days. Calculate the probability of two bottles per day
Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). Draw a graph of the following linear function and give the domain and range:
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