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- Hyperbolic_equilibrium_point abstract "In the study of dynamical systems, a hyperbolic equilibrium point or hyperbolic fixed point is a fixed point that does not have any center manifolds. Near a hyperbolic point the orbits of a two-dimensional, non-dissipative system resemble hyperbolas. This fails to hold in general. Strogatz notes that "hyperbolic is an unfortunate name – it sounds like it should mean 'saddle point' – but it has become standard." Several properties hold about a neighborhood of a hyperbolic point, notably A stable manifold and an unstable manifold exist, Shadowing occurs, The dynamics on the invariant set can be represented via symbolic dynamics, A natural measure can be defined, The system is structurally stable.".
- Hyperbolic_equilibrium_point thumbnail Phase_Portrait_Sadle.svg?width=300.
- Hyperbolic_equilibrium_point wikiPageID "3948604".
- Hyperbolic_equilibrium_point wikiPageLength "4032".
- Hyperbolic_equilibrium_point wikiPageOutDegree "26".
- Hyperbolic_equilibrium_point wikiPageRevisionID "664008493".
- Hyperbolic_equilibrium_point wikiPageWikiLink Anosov_diffeomorphism.
- Hyperbolic_equilibrium_point wikiPageWikiLink Anosov_flow.
- Hyperbolic_equilibrium_point wikiPageWikiLink Arnolds_cat_map.
- Hyperbolic_equilibrium_point wikiPageWikiLink Category:Limit_sets.
- Hyperbolic_equilibrium_point wikiPageWikiLink Category:Stability_theory.
- Hyperbolic_equilibrium_point wikiPageWikiLink Center_manifold.
- Hyperbolic_equilibrium_point wikiPageWikiLink Dynamical_system.
- Hyperbolic_equilibrium_point wikiPageWikiLink Fixed_point_(mathematics).
- Hyperbolic_equilibrium_point wikiPageWikiLink Hamiltonian_mechanics.
- Hyperbolic_equilibrium_point wikiPageWikiLink Hartman-Grobman_theorem.
- Hyperbolic_equilibrium_point wikiPageWikiLink Hartman–Grobman_theorem.
- Hyperbolic_equilibrium_point wikiPageWikiLink Hyperbolic_function.
- Hyperbolic_equilibrium_point wikiPageWikiLink Hyperbolic_set.
- Hyperbolic_equilibrium_point wikiPageWikiLink Jacobian_matrix.
- Hyperbolic_equilibrium_point wikiPageWikiLink Jacobian_matrix_and_determinant.
- Hyperbolic_equilibrium_point wikiPageWikiLink Linearization.
- Hyperbolic_equilibrium_point wikiPageWikiLink Map_(mathematics).
- Hyperbolic_equilibrium_point wikiPageWikiLink Neighbourhood_(mathematics).
- Hyperbolic_equilibrium_point wikiPageWikiLink Normally_hyperbolic_invariant_manifold.
- Hyperbolic_equilibrium_point wikiPageWikiLink Saddle_point.
- Hyperbolic_equilibrium_point wikiPageWikiLink Shadowing_lemma.
- Hyperbolic_equilibrium_point wikiPageWikiLink Stable_manifold.
- Hyperbolic_equilibrium_point wikiPageWikiLink Structural_stability.
- Hyperbolic_equilibrium_point wikiPageWikiLink Symbolic_dynamics.
- Hyperbolic_equilibrium_point wikiPageWikiLink Topological_conjugacy.
- Hyperbolic_equilibrium_point wikiPageWikiLink Vector_field.
- Hyperbolic_equilibrium_point wikiPageWikiLink File:Phase_Portrait_Sadle.svg.
- Hyperbolic_equilibrium_point wikiPageWikiLinkText "Hyperbolic equilibrium point".
- Hyperbolic_equilibrium_point wikiPageWikiLinkText "equilibrium states".
- Hyperbolic_equilibrium_point wikiPageWikiLinkText "hyperbolic equilibrium point".
- Hyperbolic_equilibrium_point wikiPageWikiLinkText "hyperbolic".
- Hyperbolic_equilibrium_point wikiPageWikiLinkText "hyperbolicity".
- Hyperbolic_equilibrium_point curator "Eugene M. Izhikevich".
- Hyperbolic_equilibrium_point hasPhotoCollection Hyperbolic_equilibrium_point.
- Hyperbolic_equilibrium_point title "Equilibrium".
- Hyperbolic_equilibrium_point urlname "Equilibrium".
- Hyperbolic_equilibrium_point wikiPageUsesTemplate Template:Scholarpedia.
- Hyperbolic_equilibrium_point subject Category:Limit_sets.
- Hyperbolic_equilibrium_point subject Category:Stability_theory.
- Hyperbolic_equilibrium_point hypernym Point.
- Hyperbolic_equilibrium_point type Place.
- Hyperbolic_equilibrium_point type Dynamic.
- Hyperbolic_equilibrium_point comment "In the study of dynamical systems, a hyperbolic equilibrium point or hyperbolic fixed point is a fixed point that does not have any center manifolds. Near a hyperbolic point the orbits of a two-dimensional, non-dissipative system resemble hyperbolas. This fails to hold in general.".
- Hyperbolic_equilibrium_point label "Hyperbolic equilibrium point".
- Hyperbolic_equilibrium_point sameAs Punto_di_equilibrio_iperbolico.
- Hyperbolic_equilibrium_point sameAs 双曲型平衡点.
- Hyperbolic_equilibrium_point sameAs m.0b84__.
- Hyperbolic_equilibrium_point sameAs Гиперболическая_неподвижная_точка.
- Hyperbolic_equilibrium_point sameAs Q3925833.
- Hyperbolic_equilibrium_point sameAs Q3925833.
- Hyperbolic_equilibrium_point wasDerivedFrom Hyperbolic_equilibrium_point?oldid=664008493.
- Hyperbolic_equilibrium_point depiction Phase_Portrait_Sadle.svg.
- Hyperbolic_equilibrium_point isPrimaryTopicOf Hyperbolic_equilibrium_point.