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Limit set

In mathematics, especially in the study of dynamical systems, a limit set is the state a dynamical system reaches after an infinite amount of time has passed, by either going forward or backwards in time. Limit sets are important because they can be used to understand the long term behavior of a dynamical system. A system that has reached its limiting…

Definition for iterated functions, Types & Definition for flows

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Definition for iterated functions

Definition for flows

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Limit set

Nodes33
Edges32
Triples20
Avg. degree1.94
Density0.060606
Components1

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Limit set

Top relations

related to Further reading · 11
Limit set → American Mathematical Society, Creative Commons Attribution/Share-Alike License, Dynamical Systems, Gerald, ISBN, Omega-limit, Ordinary Differential Equations, PlanetMath, Providence, Teschl, This
related to Definition for iterated functions · 5
Limit set → Another, Hence, Let, The, This
related to Types · 3
Limit set → Bendixson, In, Poincaré
is a · 1
Limit set → state a dynamical system reaches after an infinite amount of time has passed

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Important terminology

displaystyle set orbit omega dynamical limit system -limit alpha sets mathbb gamma points point sequence systems nonempty compact varphi call

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Limit setis astate a dynamical system reaches after an infinite amount of time has passed0.90text
Limit setrelated to Definition for iterated functionsLet0.60section
Limit setrelated to Definition for iterated functionsThe0.60section
Limit setrelated to Definition for iterated functionsHence0.60section
Limit setrelated to Definition for iterated functionsAnother0.60section
Limit setrelated to Definition for iterated functionsThis0.60section
Limit setrelated to Further readingTeschl0.60section
Limit setrelated to Further readingGerald0.60section
Limit setrelated to Further readingOrdinary Differential Equations0.60section
Limit setrelated to Further readingDynamical Systems0.60section
Limit setrelated to Further readingProvidence0.60section
Limit setrelated to Further readingAmerican Mathematical Society0.60section

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    Min side: 3
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