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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
Alzheimer's disease, a neurological disease, is a very costly public health problem. As the population ages, the incidence of Alzheimer's will increase. The incidence of Alzheimer's will nearly quadruple in the next 40 years. Finding a way to delay t..
A function f is given by the following table: Approximate the area between the x-axis and y=f (x) from x=0 to x=4 using Simpson's Rule.
The students in the 12-member advanced communications design class at Center City Community College are submitting a project to a national competition
Probability: Random Dart. A dartboard has 3 areas: the main board has a radius of 9 inches; there is a circle with a radius of 5 inches
Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.
Probability : Drawing Cards and Sampling Without Replacement, 3 cards are drawn in succession from a regular straight deck of 52 playing cards. Find the probability that
Solve the system of equation by matrix method - Use augmented matrices to solve the following 2 x 2 systems of equations.
How much variation does knowledge of Age Score account for in Competence Scores?
Find the mean, median and standard deviation.
Probability Theory Applied to House Sales. The probability that house sales will increase over the next six months is estimated at .25. It is also estimated that the probability is .74 that 30 year fixed-loan mortgage rates
Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin. Determine the volume of the solid of revolution formed when R is revolved about the y-axis.
Normal Probability: Diameter of Grapefruits. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches.
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