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 dx dt dy dt = -y + x(p-x - y) = x + y(p-x - y) (5.5.7) (5.5.8)

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Numerical Methods With Chemical Engineering Applications

ISBN: 9781107135116

1st Edition

Authors: Kevin D. Dorfman, Prodromos Daoutidis

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Question Posted: Oct 22, 2023 05:30 AM

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Analyze the phase plane trajectories for the system dx dt dy dt = -y + x(p-x -

Question:

dx dt dy dt = -y + x(p-x² - y²) = x + y(p-x² - y²) (5.5.7) (5.5.8)

Step by Step Answer:

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

Numerical Methods With Chemical Engineering Applications

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