Linearization PROOF | Nonlinear Dynamics (Part 3 extra)

The video tutorial explains linearization theory for differential equations, focusing on finding fixed points, performing Taylor series expansions, and deriving the linearized equation of motion. It highlights the usefulness of linearization in simplifying complex systems and solving equations using eigenvalues and eigenvectors. The tutorial also discusses the limitations of linearization, particularly its applicability near fixed points and special cases where the theory may break down.

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