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Attractor

In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain close even if slightly disturbed.

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Overview

Motivation of attractors

Mathematical definition

Types of attractors

Attractors characterize the evolution of a system

Basins of attraction

Partial differential equations

Advanced semantic analysis

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Map overview Semantic statistics

Attractor

Nodes114
Edges113
Triples135
Avg. degree1.98
Density0.017544
Components1

How this topic connects Entity context

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Attractor

Top relations

related to Further reading · 48
Attractor → Academic Press, American Mathematical Society, August, BF01206949, BF01646553, Bibcode, Bifurcation Theory, Celso Grebogi, Chaos, Chaos ISBN, Chekroun, Cite, CiteSeerX, Communications, David, David Ruelle, Differentiable Dynamics, Edward, Edward Ott, Elements
related to Strange attractor · 13
Attractor → An, Bowen, Cantor, David Ruelle, Floris Takens, Hausdorff, If, Ruelle, Sinai, Strange, The, This, Thus
related to Partial differential equations · 9
Attractor → For, Kuramoto, Landau, Navier, Parabolic, Sivashinsky, Stokes, The, The Ginzburg
related to Attractors characterize the evolution of a system · 8
Attractor → As, At, For, It, Its, Sharkovskii's, The, Thus
related to Fixed point · 8
Attractor → Any, But, For, If, In, The, There, This
related to External links · 7
Attractor → Archived, Basin, Chua's, June, ScholarpediaA, Strange Attractor, Wayback MachineOnline
related to Types of attractors · 7
Attractor → Attractors, But, Cantor, More, Stephen Smale, Two, Until
is a · 6
Attractor → quasiperiodic series, region in n-dimensional space, set of states toward which a system tends to evolve, single fixed point, subset A, subset of the real number line
related to Limit torus · 6
Attractor → For, If, Nt, Such, There, This
related to Limit cycle · 4
Attractor → Examples, For, It, The

Important terminology Word statistics

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Important terminology

points system point attractors displaystyle attraction one may basin dynamical strange space set chaotic systems fixed initial phase example limit

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Attractoris aset of states toward which a system tends to evolve0.90text
Attractoris aregion in n-dimensional space0.90text
Attractoris asubset of the real number line0.90text
Attractoris asubset A0.90text
Attractoris aquasiperiodic series0.90text
Attractoris asingle fixed point0.90text
the inflation rateinstance ofthey may be separate variables0.80text
the unemployment rateinstance ofthey may be separate variables0.80text
Attractorrelated to Attractors characterize the evolution of a systemThe0.60section
Attractorrelated to Attractors characterize the evolution of a systemIts0.60section
Attractorrelated to Attractors characterize the evolution of a systemFor0.60section
Attractorrelated to Attractors characterize the evolution of a systemAs0.60section

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    Min side: 3
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