Prove instability using Lyapunov function x' = x^3 + xy y' =

hadaasyj 2022-05-01 Answered
Prove instability using Lyapunov function
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Answers (1)

Cristian Rosales
Answered 2022-05-02 Author has 26 answers
The dominant term is x6+x3y+y2. This term is positive (complete the square). All other terms are small when x,y, are small, so they can be controlled. Here are the details.
with equality iff x=y=0
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