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4. (based on Glendinning 4.2.(i)) Consider the system below x=3x+2y+xy y=y+3y+xy-4x = -z (a) Find the stable and unstable manifolds about the origin up
4. (based on Glendinning 4.2.(i)) Consider the system below x=3x+2y+xy y=y+3y+xy-4x = -z (a) Find the stable and unstable manifolds about the origin up to cubic order. (b) Find the equation of motion on the unstable manifold up to quadratic order. (c) By solving the equation numerically show that the obtained manifolds govern the motion in the neighborhood of the equilibrium.
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Fundamentals of Materials Science and Engineering An Integrated Approach
Authors: David G. Rethwisch
4th Edition
1118214226, 1118061608, 9781118214220, 978-1118061602
