dx = x³ — y³, dy = 2xy² + 4x²y + 2y³. dt dt Construct a Lyapunov function of the form V(x, y) = ax²+ cy², where a and c are to be determined, to show that the single critical point of the system at the origin is unstable.

dx = x³ — y³, dy = 2xy² + 4x²y + 2y³. dt dt Construct a Lyapunov function of the form V(x, y) = ax²+ cy², where a and c are to be determined, to show that the single critical point of the system at the origin is unstable.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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