Answered: Let dx/dt = x2y3 dy/dt…

Let dx/dt = x2y3 dy/dt = -x - y - (xy4)/2 be a dynamical system. Is L(x,y) = (x2)/2 + (x2y4)/4 a proper Lyapunov function

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 25E

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Question

Let dx/dt = x²y³

dy/dt = -x - y - (xy⁴)/2

be a dynamical system.

Is L(x,y) = (x²)/2 + (x²y⁴)/4 a proper Lyapunov function?

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