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dynamical-systems

The Jacobian and local linearization

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Local knowledge map

Local knowledge map

Choosing a dynamical model for a scenario Predator-prey models The SIR epidemic model Bifurcations in a system When linearization fails (Hartman-Grobman,… The Jacobian and local linearization Bifurcation of a 1-D autonomous family Complex differentiability Exact differential equations Existence and uniqueness (the Picard-Lindelof… From partial derivatives to the total derivative Reading stability from trace and determinant alone Separation of variables: a first look toward PDEs The geometric meaning of a partial derivative Nonlinear autonomous systems Partial derivatives The trace-determinant plane A first look at partial rates Classifying saddles Classifying spirals Degenerate and repeated-eigenvalue cases Equilibrium points of a system Nullclines Trace, determinant, and the eigenvalues

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