3.1 Linearization PROOF | Nonlinear Dynamics

The video tutorial explains the theory behind equations of motion, focusing on linearization. It begins with an introduction to the equations and the concept of fixed points. The process of linearization is detailed, including the use of Taylor series expansion and neglecting higher order terms. A coordinate transformation is introduced to simplify the equations further. The video concludes with a discussion on the limitations of linearization, highlighting special cases where the theory may not apply.

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