Analyze the phase plane trajectories for the system dx dt dy dt = -y + x(p-x -
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Analyze the phase plane trajectories for the system
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dx dt dy dt = -y + x(p-x² - y²) = x + y(p-x² - y²) (5.5.7) (5.5.8)
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One can show that for all p 0 0 is the only equilibrium point The Jacobian at this steady state is and its eigenvalues are 1 p and 2 p So for p 0 we have a stable focus and for p 0 we have an unstable ...View the full answer
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Related Book For
Numerical Methods With Chemical Engineering Applications
ISBN: 9781107135116
1st Edition
Authors: Kevin D. Dorfman, Prodromos Daoutidis
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