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nonlinear autonomous system

A system of first-order equations, not depending explicitly on the independent variable, that isn't linear.

A nonlinear autonomous system \mathbf{x}'=F(\mathbf{x}) has a right-hand side F that does not depend explicitly on t and is not a linear function of \mathbf{x} -- it may contain products, powers, or other nonlinear combinations of the unknown functions.

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