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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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gptkb:statistical_mechanics
celestial mechanics
control theory
quantum mechanics
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gptkbp:definedIn
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Hamiltonian function
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gptkbp:example
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gptkb:simple_harmonic_oscillator
pendulum
Kepler problem
two-body problem
nonlinear oscillators
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gptkbp:field
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gptkb:mathematics
physics
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gptkbp:generalizes
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gptkb:Lagrangian_systems
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gptkbp:governedBy
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gptkb:Hamilton's_equations
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gptkbp:hasSubfield
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gptkb:classical_mechanics
dynamical systems
|
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https://www.w3.org/2000/01/rdf-schema#label
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Hamiltonian systems
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gptkbp:introduced
|
gptkb:William_Rowan_Hamilton
|
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gptkbp:property
|
gptkb:Liouville's_theorem
energy conservation
time-reversibility
phase space structure
|
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gptkbp:relatedTo
|
gptkb:Noether's_theorem
gptkb:perturbation_theory
gptkb:Poincaré_map
gptkb:Hamilton-Jacobi_equation
gptkb:KAM_theorem
chaos theory
integrable systems
conservation laws
quantization
symmetries
symplectic geometry
Poisson brackets
action-angle variables
phase portrait
canonical transformations
integrals of motion
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gptkbp:studiedIn
|
gptkb:classical_mechanics
mathematical physics
|
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gptkbp:bfsParent
|
gptkb:phase_space
|
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gptkbp:bfsLayer
|
5
|