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Structural stability

In mathematics, structural stability is a fundamental property of a dynamical system which means that the qualitative behavior of the trajectories is unaffected by small perturbations (to be exact C1-small perturbations).

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Structural stability

Nodes61
Edges60
Triples71
Avg. degree1.97
Density0.032787
Components1

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Structural stability

Top relations

related to history · 30
Structural stability → Aleksandr Lyapunov, Andronov, Around, Both Smale, Earlier, English, George Birkhoff, Hassler Whitney, Henri Poincaré, However, Ideas, In, It, Khaikin, Marston Morse, Maurício Peixoto, Morse, Peixoto's, Pontryagin, Qualitative
related to References · 23
Structural stability → Aleksandr, Andronov, Anosov, Arnold, Coarse, CS1, Differential Equations, EMS PressCharles Pugh, Encyclopedia, Geometric Methods, Grundlehren, ISBN, Lev, Mathematics, Mathematischen Wissenschaften, Maurício Matos Peixoto, New York, Pontryagin, Rough, Scholarpedia
related to Examples · 17
Structural stability → According, Andronov, Arnaud Denjoy, As, C1, C2, Denjoy, Furthermore, Henri Poincaré, In, Jacobian, Necessary, Poincaré, Pontryagin, S2, Structural, Using
is a · 1
Structural stability → fundamental property of a dynamical system which means that the qualitative behavior of the trajectories is unaffected by small perturbations

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Important terminology

structurally stable systems stability system structural andronov pontryagin vector fields flows diffeomorphisms trajectories theory small periodic qualitative dimensions points anosov

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Structural stabilityis afundamental property of a dynamical system which means that the qualitative behavior of the trajectories is unaffected by small perturbations0.90text
Structural stabilityrelated to ExamplesNecessary0.60section
Structural stabilityrelated to ExamplesC10.60section
Structural stabilityrelated to ExamplesS20.60section
Structural stabilityrelated to ExamplesAndronov0.60section
Structural stabilityrelated to ExamplesPontryagin0.60section
Structural stabilityrelated to ExamplesAccording0.60section
Structural stabilityrelated to ExamplesFurthermore0.60section
Structural stabilityrelated to ExamplesIn0.60section
Structural stabilityrelated to ExamplesHenri Poincaré0.60section
Structural stabilityrelated to ExamplesStructural0.60section
Structural stabilityrelated to ExamplesPoincaré0.60section

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