1. Consider the oDE dr =1+ 23r +2, dt where 3 is a real constant. (a)...
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1. Consider the oDE dr =1+ 23r +2, dt where 3 is a real constant. (a) Determine the values a = F and B = 3 of any bifurcation points. Do this calculation by hand. Show all your working. (b) Find the critical points r = 2 and determine their stability. Do this calculation by hand. Show all your working. (c) Plot a bifurcation diagram showing the critical points a" versus 3. Indicate where the critical points are stable and unstable (make sure these are clearly labelled, using a legend for example). Classify any bifurcation points. Just submit your plot for this part. You do not need to submit any code. 1. Consider the oDE dr =1+ 23r +2, dt where 3 is a real constant. (a) Determine the values a = F and B = 3 of any bifurcation points. Do this calculation by hand. Show all your working. (b) Find the critical points r = 2 and determine their stability. Do this calculation by hand. Show all your working. (c) Plot a bifurcation diagram showing the critical points a" versus 3. Indicate where the critical points are stable and unstable (make sure these are clearly labelled, using a legend for example). Classify any bifurcation points. Just submit your plot for this part. You do not need to submit any code.
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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