Hartman–Grobman theorem
In mathematics, in the study of dynamical systems, the Hartman–Grobman theorem or linearisation theorem is a theorem about the local behaviour of dynamical systems in the neighbourhood of a hyperbolic equilibrium point. It asserts that linearisation—a natural simplification of the system—is effective in predicting qualitative patterns of behaviour. The theorem owes its name to Philip Hartman and .
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Brouwer fixed-point theoremCenter manifoldCommunity matrixDynamical systemHartmanHartman-Grobman theoremHyperbolic equilibrium pointJacobian matrix and determinantLinearisation TheoremLinearisation principleLinearisation theoremLinearizationLinearization principleLinearization theoremList of theoremsMethod of averagingParadox of enrichmentPhilip HartmanStability theory
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Hartman–Grobman theorem
In mathematics, in the study of dynamical systems, the Hartman–Grobman theorem or linearisation theorem is a theorem about the local behaviour of dynamical systems in the neighbourhood of a hyperbolic equilibrium point. It asserts that linearisation—a natural simplification of the system—is effective in predicting qualitative patterns of behaviour. The theorem owes its name to Philip Hartman and .
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A matemàtiques, a l'estudi de ...... en part real diferent de zero.
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En mathématiques, dans l'étude ...... pour étudier son comportement.
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In matematica, in particolare ...... lmente alcune caratteristiche.
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In mathematics, in the study o ...... s behaviour around equilibria.
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Twierdzenie Hartmana-Grobmana ...... rzężone ze swoją linearyzacją.
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В теории динамических систем, ...... ьтат независимо друг от друга.
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تقول مبرهنة هارتمان-غروبمان Ha ...... يكون الجزء الحقيقي منها صفرا.
@ar
力学系の理論において、ハートマン＝グロブマンの定理(英: H ...... 者D. M. グロブマンとP. ハートマンによって示された。
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A matemàtiques, a l'estudi de ...... en part real diferent de zero.
@ca
En mathématiques, dans l'étude ...... pour étudier son comportement.
@fr
In matematica, in particolare ...... lmente alcune caratteristiche.
@it
In mathematics, in the study o ...... s name to Philip Hartman and .
@en
Twierdzenie Hartmana-Grobmana ...... rzężone ze swoją linearyzacją.
@pl
В теории динамических систем, ...... ьтат независимо друг от друга.
@ru
تقول مبرهنة هارتمان-غروبمان Ha ...... يكون الجزء الحقيقي منها صفرا.
@ar
力学系の理論において、ハートマン＝グロブマンの定理(英: H ...... 者D. M. グロブマンとP. ハートマンによって示された。
@ja
label
Hartman–Grobman theorem
@en
Satz von Hartman-Grobman
@de
Teorema de Hartman–Grobman
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Teorema di Hartman-Grobman
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Théorème de Hartman-Grobman
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Twierdzenie Hartmana-Grobmana
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Теорема Гробмана — Хартмана
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مبرهنة هارتمان-غروبمان
@ar
ハートマン＝グロブマンの定理
@ja