Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Stability_theory> ?p ?o }
- Stability_theory abstract "In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature at a later time as a result of the maximum principle. In partial differential equations one may measure the distances between functions using Lp norms or the sup norm, while in differential geometry one may measure the distance between spaces using the Gromov–Hausdorff distance.In dynamical systems, an orbit is called Lyapunov stable if the forward orbit of any point is in a small enough neighborhood or it stays in a small (but perhaps, larger) neighborhood. Various criteria have been developed to prove stability or instability of an orbit. Under favorable circumstances, the question may be reduced to a well-studied problem involving eigenvalues of matrices. A more general method involves Lyapunov functions. In practice, any one of a number of different stability criteria are applied.".
- Stability_theory wikiPageExternalLink StableEquilibria.
- Stability_theory wikiPageID "5493795".
- Stability_theory wikiPageLength "10216".
- Stability_theory wikiPageOutDegree "63".
- Stability_theory wikiPageRevisionID "682114277".
- Stability_theory wikiPageWikiLink Absolute_value.
- Stability_theory wikiPageWikiLink Asymptotic_stability.
- Stability_theory wikiPageWikiLink Autonomous_system_(mathematics).
- Stability_theory wikiPageWikiLink Category:Limit_sets.
- Stability_theory wikiPageWikiLink Category:Stability_theory.
- Stability_theory wikiPageWikiLink Characteristic_polynomial.
- Stability_theory wikiPageWikiLink Complex_number.
- Stability_theory wikiPageWikiLink Continuously_differentiable_function.
- Stability_theory wikiPageWikiLink Damping.
- Stability_theory wikiPageWikiLink Derivative.
- Stability_theory wikiPageWikiLink Diffeomorphism.
- Stability_theory wikiPageWikiLink Differentiable_manifold.
- Stability_theory wikiPageWikiLink Differential_equation.
- Stability_theory wikiPageWikiLink Dynamical_system.
- Stability_theory wikiPageWikiLink Eigenvalue.
- Stability_theory wikiPageWikiLink Eigenvalues.
- Stability_theory wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Stability_theory wikiPageWikiLink Equilibrium_point.
- Stability_theory wikiPageWikiLink Exponential_decay.
- Stability_theory wikiPageWikiLink Exponential_stability.
- Stability_theory wikiPageWikiLink Gromov–Hausdorff_convergence.
- Stability_theory wikiPageWikiLink Hartman–Grobman_theorem.
- Stability_theory wikiPageWikiLink Heat_equation.
- Stability_theory wikiPageWikiLink Hurwitz_polynomial.
- Stability_theory wikiPageWikiLink Hyperstability.
- Stability_theory wikiPageWikiLink Jacobian_matrix.
- Stability_theory wikiPageWikiLink Jacobian_matrix_and_determinant.
- Stability_theory wikiPageWikiLink Linear_approximation.
- Stability_theory wikiPageWikiLink Linear_differential_equation.
- Stability_theory wikiPageWikiLink Linear_stability.
- Stability_theory wikiPageWikiLink Linearization.
- Stability_theory wikiPageWikiLink Lp_space.
- Stability_theory wikiPageWikiLink Lyapunov_function.
- Stability_theory wikiPageWikiLink Lyapunov_stability.
- Stability_theory wikiPageWikiLink Mathematics.
- Stability_theory wikiPageWikiLink Matrix_(mathematics).
- Stability_theory wikiPageWikiLink Maximum_principle.
- Stability_theory wikiPageWikiLink Orbit_(dynamics).
- Stability_theory wikiPageWikiLink Orbital_stability.
- Stability_theory wikiPageWikiLink Oscillation.
- Stability_theory wikiPageWikiLink Pendulum.
- Stability_theory wikiPageWikiLink Periodic_orbit.
- Stability_theory wikiPageWikiLink Periodic_point.
- Stability_theory wikiPageWikiLink Phase_space.
- Stability_theory wikiPageWikiLink Real_number.
- Stability_theory wikiPageWikiLink Real_part.
- Stability_theory wikiPageWikiLink Routh–Hurwitz_stability_criterion.
- Stability_theory wikiPageWikiLink Routh–Hurwitz_theorem.
- Stability_theory wikiPageWikiLink Smooth_manifold.
- Stability_theory wikiPageWikiLink Smoothness.
- Stability_theory wikiPageWikiLink Square_matrix.
- Stability_theory wikiPageWikiLink Stability_criterion.
- Stability_theory wikiPageWikiLink Stability_radius.
- Stability_theory wikiPageWikiLink Structural_stability.
- Stability_theory wikiPageWikiLink The_Wolfram_Demonstrations_Project.
- Stability_theory wikiPageWikiLink Vector_field.
- Stability_theory wikiPageWikiLink Von_Neumann_stability_analysis.
- Stability_theory wikiPageWikiLink Wolfram_Demonstrations_Project.
- Stability_theory wikiPageWikiLinkText "Stability theory".
- Stability_theory wikiPageWikiLinkText "Stability".
- Stability_theory wikiPageWikiLinkText "asymptotically stable".
- Stability_theory wikiPageWikiLinkText "equilibrium".
- Stability_theory wikiPageWikiLinkText "globally asymptotically stable".
- Stability_theory wikiPageWikiLinkText "instability".
- Stability_theory wikiPageWikiLinkText "locally asymptotically stable".
- Stability_theory wikiPageWikiLinkText "locally stable".
- Stability_theory wikiPageWikiLinkText "stability analysis".
- Stability_theory wikiPageWikiLinkText "stability region".
- Stability_theory wikiPageWikiLinkText "stability theorems".
- Stability_theory wikiPageWikiLinkText "stability theory of dynamical systems".
- Stability_theory wikiPageWikiLinkText "stability theory".
- Stability_theory wikiPageWikiLinkText "stability".
- Stability_theory wikiPageWikiLinkText "stable and unstable equilibria".
- Stability_theory wikiPageWikiLinkText "stable dynamics".
- Stability_theory wikiPageWikiLinkText "stable equilibrium points".
- Stability_theory wikiPageWikiLinkText "stable equilibrium".
- Stability_theory wikiPageWikiLinkText "stable".
- Stability_theory wikiPageWikiLinkText "stasis".
- Stability_theory wikiPageWikiLinkText "unconditional stability".
- Stability_theory wikiPageWikiLinkText "unstable".
- Stability_theory curator "Philip Holmes and Eric T. Shea-Brown".
- Stability_theory hasPhotoCollection Stability_theory.
- Stability_theory title "Stability".
- Stability_theory urlname "Stability".
- Stability_theory wikiPageUsesTemplate Template:For.
- Stability_theory wikiPageUsesTemplate Template:Main.
- Stability_theory wikiPageUsesTemplate Template:Scholarpedia.
- Stability_theory subject Category:Limit_sets.
- Stability_theory subject Category:Stability_theory.
- Stability_theory type Dynamic.
- Stability_theory type Concept.
- Stability_theory comment "In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature at a later time as a result of the maximum principle.".
- Stability_theory label "Stability theory".
- Stability_theory sameAs نظرية_الاستقرار.