Construct · 1 fields · 1 citations

Hartman-Grobman theorem: a standalone construct

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Dynamical systems

the result that near a hyperbolic equilibrium a nonlinear system behaves, up to a continuous change of coordinates, like its linearization.

In dynamical systems, Hartman-Grobman theorem refers to the result that near a hyperbolic equilibrium a nonlinear system behaves, up to a continuous change of coordinates, like its linearization. This meaning comes from Hartman (1960) in Proceedings of the American Mathematical Society.[1]

Unit
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Measured by

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continuous change1 fields · 1 citationsanchor · a standalone construct dynamics3 fields · 3 citationsjingle · one word, three constructs equilibrium4 fields · 4 citationsjingle · one word, four constructs

References

Hartman, P. (1960). A lemma in the theory of structural stability of differential equations. Proceedings of the American Mathematical Society, 11(4), 610-620. https://doi.org/10.1090/s0002-9939-1960-0121542-7

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