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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 wikiPageRevisionID "581363143".
- 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 subject Category:Limit_sets.
- Hyperbolic_equilibrium_point subject Category:Stability_theory.
- Hyperbolic_equilibrium_point type Abstraction100002137.
- Hyperbolic_equilibrium_point type Collection107951464.
- Hyperbolic_equilibrium_point type Group100031264.
- Hyperbolic_equilibrium_point type LimitSets.
- Hyperbolic_equilibrium_point type Set107996689.
- 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 label "Punto di equilibrio iperbolico".
- Hyperbolic_equilibrium_point label "Гиперболическая неподвижная точка".
- Hyperbolic_equilibrium_point sameAs Punto_di_equilibrio_iperbolico.
- Hyperbolic_equilibrium_point sameAs m.0b84__.
- Hyperbolic_equilibrium_point sameAs Q3925833.
- Hyperbolic_equilibrium_point sameAs Q3925833.
- Hyperbolic_equilibrium_point sameAs Hyperbolic_equilibrium_point.
- Hyperbolic_equilibrium_point wasDerivedFrom Hyperbolic_equilibrium_point?oldid=581363143.
- Hyperbolic_equilibrium_point depiction Phase_Portrait_Sadle.svg.
- Hyperbolic_equilibrium_point isPrimaryTopicOf Hyperbolic_equilibrium_point.
