proof ch:15-nonlinear-dynamics-chaos@proof-4

open in the book · parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:294

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proof : ch:15-nonlinear-dynamics-chaos@proof-4prooftheorem 32.13: Linear stability32.13definition 32.12: Linearization32.12theorem 5.77: Criterion for diagonalizability5.77proposition 32.65: Fixed points of the Lorenz system and their stability32.65proposition 32.23: Saddle-node bifurcation32.23proposition 32.24: Transcritical and pitchfork bifurcations32.24proposition 28.69: Which branch is stable, and where it ends28.69

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proves Linear stability declared parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:294