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Question: How do the linearization of systems?

Question:How do the linearization of systems?

Math-dashti 95 Maple 2024
ode differential-equations jacobian linearization plotting
June 27 2025
2

when we do the linearization we do transfer the critical point to the orgin, i want see the plot of nonlinear system before the linearization and after linearization which is critical point is tranfered to orgin, also i try to find `conserved quantity` and make a good plot with the critical point shown in graph how i can do the linearization by maple, also  we  by hand when we solved we show that in new system when we give him variable we have to write for each new system  u=x-x[0] when is u is new system for linearization we need that or not? becuase result is not change when we take jacobian result is same !

 

Linearization.mw
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