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gptkbp:instanceOf
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gptkb:academic
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gptkbp:appliesTo
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biology
ecology
economics
engineering
neuroscience
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gptkbp:fieldOfStudy
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gptkb:mathematics
physics
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gptkbp:hasConcept
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gptkb:Smale's_horseshoe
gptkb:Lorenz_attractor
gptkb:organization
gptkb:Kolmogorov–Arnold–Moser_theorem
gptkb:Poincaré–Bendixson_theorem
gptkb:Poincaré_recurrence_theorem
gptkb:phase_space
gptkb:Anosov_diffeomorphism
gptkb:Arnold's_cat_map
gptkb:Arnold_diffusion
gptkb:Floquet_theory
gptkb:Hartman–Grobman_theorem
gptkb:Hopf_bifurcation
gptkb:Julia_set
gptkb:KAM_theory
gptkb:Lyapunov_function
gptkb:Mandelbrot_set
gptkb:Markov_partition
gptkb:Morse–Smale_system
gptkb:Takens–Bogdanov_bifurcation
gptkb:alpha-limit_set
gptkb:horseshoe_map
gptkb:integrable_system
gptkb:logistic_map
gptkb:omega-limit_set
gptkb:saddle-node_bifurcation
gptkb:solenoid
gptkb:symbolic_dynamics
gptkb:symplectic_map
gptkb:transcritical_bifurcation
sensitive dependence on initial conditions
stability
strange attractor
ergodicity
recurrence
state space
normal form
chaos
metric entropy
mixing
topological entropy
Hamiltonian system
Morse decomposition
bifurcation
center manifold
chain recurrent set
circle map
gradient flow
heteroclinic orbit
homoclinic orbit
hyperbolic dynamics
invariant manifold
measure-preserving transformation
minimal set
nonwandering set
period doubling
periodic orbit
pitchfork bifurcation
quasiperiodic orbit
saddle point
sensitivity to initial conditions
shadowing lemma
strange nonchaotic attractor
structural stability
tent map
topological conjugacy
topological mixing
trajectory
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https://www.w3.org/2000/01/rdf-schema#label
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Dynamical Systems
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gptkbp:includes
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deterministic systems
chaotic systems
continuous dynamical systems
discrete dynamical systems
stochastic systems
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gptkbp:notableContributor
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gptkb:Edward_Lorenz
gptkb:Henri_Poincaré
gptkb:Mary_Cartwright
gptkb:Stephen_Smale
gptkb:Mitchell_Feigenbaum
gptkb:Florence_Jessop
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gptkbp:relatedTo
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gptkb:Poincaré_map
gptkb:Lyapunov_exponents
control theory
ergodic theory
nonlinear systems
partial differential equations
difference equations
attractors
bifurcation theory
fixed points
limit cycles
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gptkbp:studies
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evolution of systems over time
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gptkbp:bfsParent
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gptkb:Jürgen_Jost
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gptkbp:bfsLayer
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4
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