Properties (63)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:concept
|
| gptkbp:associatedWith |
Hamiltonian systems
|
| gptkbp:canLeadTo |
astrophysics
resonance phenomena engineering problems chaotic behavior |
| gptkbp:description |
the behavior of trajectories in phase space
|
| gptkbp:hasRelatedPatent |
physics
|
| gptkbp:hasResearchFocus |
mathematical physics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Arnold diffusion
|
| gptkbp:involves |
perturbations
|
| gptkbp:isA |
type of diffusion
|
| gptkbp:isActiveIn |
mathematical physics
predictive modeling applied physics |
| gptkbp:isAssociatedWith |
ergodic theory
nonlinear dynamics theory of relativity theory of dynamical systems |
| gptkbp:isAttendedBy |
numerical simulations
|
| gptkbp:isATypeOf |
dynamical behavior
|
| gptkbp:isAvailableIn |
perturbation theory
|
| gptkbp:isCharacterizedBy |
slow diffusion rates
|
| gptkbp:isCitedBy |
Lyapunov exponents
|
| gptkbp:isConnectedTo |
stochastic processes
bifurcation theory |
| gptkbp:isConsidered |
statistical mechanics
control theory |
| gptkbp:isCounteredBy |
nonlinear systems
simple mechanical systems pendulum_models |
| gptkbp:isExaminedBy |
complex systems
dynamical systems theory its mathematical properties dynamical chaos |
| gptkbp:isExploredIn |
theoretical physics
computational mathematics mathematical modeling chaos theory |
| gptkbp:isImportantFor |
understanding stability
|
| gptkbp:isInfluencedBy |
external forces
initial conditions |
| gptkbp:isRelatedTo |
Lyapunov stability
symplectic geometry phase space analysis dynamical stability quantum_mechanics KAM_theory |
| gptkbp:isStudiedIn |
mathematics
mathematical analysis its implications in science its role in complex systems. |
| gptkbp:isUsedBy |
phase transitions
|
| gptkbp:isUsedFor |
celestial mechanics
Hamiltonian dynamics energy exchange |
| gptkbp:isUtilizedFor |
numerical analysis
|
| gptkbp:keyFigures |
chaotic systems
the study of chaos |
| gptkbp:namedAfter |
gptkb:Vladimir_Arnold
|
| gptkbp:occursIn |
integrable systems
|
| gptkbp:offersCoursesIn |
applied mathematics
|
| gptkbp:relatedTo |
dynamical systems
|