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Consider the parametrized family of vector fields i=f(a,x), f(a,x):=a^2+x^2. There is an equilibrium at (a,x) = (0,0). Does our result from class on persistence of equilibria apply to this point? Why or why not? A brief explanation will suffice.
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Question Text | Consider the parametrized family of vector fields
i=f(a,x), f(a,x):=a^2+x^2.
There is an equilibrium at (a,x) = (0,0). Does our result from class on persistence of equilibria apply to this point? Why or why not? A brief explanation will suffice.
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Topic | All topics |
Subject | Physics |
Class | Class 12 |