Find appropriate values of m, n, a, such that V(x,y) = x + ay" is a Liapunov function and hence show that the equilibrium point at the origin is asymptotically stable. d dt x = 4y = x(x² + y²) - d y==x dt = −x − y³. -x-y³.
Find appropriate values of m, n, a, such that V(x,y) = x + ay" is a Liapunov function and hence show that the equilibrium point at the origin is asymptotically stable. d dt x = 4y = x(x² + y²) - d y==x dt = −x − y³. -x-y³.
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.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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