|
gptkbp:instanceOf
|
dynamical system
|
|
gptkbp:attractorName
|
Henon attractor
|
|
gptkbp:category
|
nonlinear system
chaotic map
|
|
gptkbp:dimensions
|
2
|
|
gptkbp:discoveredBy
|
gptkb:Michel_Hénon
|
|
gptkbp:exhibits
|
deterministic chaos
sensitive dependence on initial conditions
fractal structure
bifurcations
|
|
gptkbp:field
|
gptkb:mathematics
chaos theory
dynamical systems
|
|
gptkbp:hasBasinOfAttraction
|
yes
|
|
gptkbp:hasEquation
|
x_{n+1} = 1 - a x_n^2 + y_n
y_{n+1} = b x_n
|
|
gptkbp:hasFixedPoint
|
yes
|
|
gptkbp:hasFractalDimension
|
1.261
|
|
gptkbp:hasInvariantMeasure
|
yes
|
|
gptkbp:hasLyapunovExponent
|
0.419
|
|
gptkbp:hasPeriodicOrbit
|
yes
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Henon map
|
|
gptkbp:introducedIn
|
1976
|
|
gptkbp:namedAfter
|
gptkb:Michel_Hénon
|
|
gptkbp:notableFor
|
strange attractor
chaotic behavior
|
|
gptkbp:parameter
|
a
b
|
|
gptkbp:relatedTo
|
gptkb:Lorenz_system
gptkb:logistic_map
|
|
gptkbp:studiedIn
|
applied mathematics
mathematical physics
|
|
gptkbp:type
|
gptkb:discrete-time_dynamical_system
iterated map
|
|
gptkbp:typicalParameterValue
|
a = 1.4
b = 0.3
|
|
gptkbp:usedIn
|
nonlinear dynamics
fractal geometry
study of chaos
|
|
gptkbp:visualizes
|
phase space plot
|
|
gptkbp:bfsParent
|
gptkb:Nonlinear_Dynamics
|
|
gptkbp:bfsLayer
|
7
|