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Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.

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Stability analysis of a system of 2 second order nonlinear differential equations

How does one linearize and analyze such a system? Just noticed I could edit this, so from my comment below: I am trying to get a feel for what analysis us used beyond the introduction I have had. Th …
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