|
gptkbp:instance_of
|
gptkb:maps
|
|
gptkbp:analyzes
|
phase space plots
|
|
gptkbp:can_be_iterated
|
infinitely
|
|
gptkbp:can_create
|
strange attractors
|
|
gptkbp:can_exhibit_periodic_orbits
|
nan
|
|
gptkbp:depicts
|
chaotic behavior
|
|
gptkbp:describes
|
dynamical systems
|
|
gptkbp:emulation
|
computer algorithms
|
|
gptkbp:example
|
deterministic chaos
nonlinear dynamics
|
|
gptkbp:exhibits
|
bifurcation
|
|
gptkbp:has_applications_in
|
physics
|
|
gptkbp:has_expansion
|
higher dimensions
|
|
gptkbp:has_function
|
a and b
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Henon map
|
|
gptkbp:introduced_in
|
gptkb:Michel_Hénon
|
|
gptkbp:is_a_discrete_dynamical_system
|
nan
|
|
gptkbp:is_a_discrete-time_system
|
nan
|
|
gptkbp:is_a_simple_model_for
|
complex behavior
|
|
gptkbp:is_a_subject_of
|
applied mathematics
|
|
gptkbp:is_a_two-dimensional_map
|
nan
|
|
gptkbp:is_analyzed_in
|
gptkb:Lyapunov_exponents
numerical methods
|
|
gptkbp:is_chaotic_for_certain_values_of_a_and_b
|
nan
|
|
gptkbp:is_defined_by
|
x_{n+1} = y_n + 1 -a x_n^2
y_{n+1} = b x_n
|
|
gptkbp:is_fundamental_to
|
mathematical chaos
|
|
gptkbp:is_often_visualized_with
|
bifurcation diagrams
|
|
gptkbp:is_related_to
|
gptkb:Lorenz_attractor
Fractal geometry
bifurcation theory
dynamical systems analysis
|
|
gptkbp:is_represented_in
|
matrix form
|
|
gptkbp:is_sensitive_to_initial_conditions
|
nan
|
|
gptkbp:is_studied_in
|
gptkb:Mathematics
mathematical physics
complex systems
topological methods
dynamical systems theory
|
|
gptkbp:is_used_in
|
chaos theory
image compression
|
|
gptkbp:key_concept
|
the study of chaos
|
|
gptkbp:key_feature
|
chaos theory
|
|
gptkbp:model
|
real-world phenomena
|
|
gptkbp:performance
|
chaotic systems
|
|
gptkbp:type_of
|
iterated function system
|
|
gptkbp:was_a_demonstration_of
|
sensitivity to initial conditions
|
|
gptkbp:bfsParent
|
gptkb:Strange_Attractor
|
|
gptkbp:bfsLayer
|
6
|