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- Equilibrium_point abstract "In mathematics, the point is an equilibrium point for the differential equation if for all .Similarly, the point is an equilibrium point (or fixed point) for the difference equation if for .Equilibria can be classified by looking at the signs of the eigenvalues of the linearization of the equations about the equilibria. That is to say, by evaluating the Jacobian matrix at each of the equilibrium points of the system, and then finding the resulting eigenvalues, the equilibria can be categorized. Then the behavior of the system in the neighborhood of each equilibrium point can be qualitatively determined, (or even quantitatively determined, in some instances), by finding the eigenvector(s) associated with each eigenvalue. An equilibrium point is hyperbolic if none of the eigenvalues have zero real part. If all eigenvalues have negative real part, the equilibrium is a stable equation. If at least one has a positive real part, the equilibrium is an unstable node. If at least one eigenvalue has negative real part and at least one has positive real part, the equilibrium is a saddle point.".
- Equilibrium_point wikiPageID "1441435".
- Equilibrium_point wikiPageRevisionID "595004893".
- Equilibrium_point hasPhotoCollection Equilibrium_point.
- Equilibrium_point subject Category:Dynamical_systems.
- Equilibrium_point subject Category:Stability_theory.
- Equilibrium_point comment "In mathematics, the point is an equilibrium point for the differential equation if for all .Similarly, the point is an equilibrium point (or fixed point) for the difference equation if for .Equilibria can be classified by looking at the signs of the eigenvalues of the linearization of the equations about the equilibria.".
- Equilibrium_point label "Equilibrium point".
- Equilibrium_point label "Equilíbrio (equação diferencial)".
- Equilibrium_point label "Punto di equilibrio".
- Equilibrium_point label "Особая точка (дифференциальные уравнения)".
- Equilibrium_point label "平衡点".
- Equilibrium_point sameAs Punto_di_equilibrio.
- Equilibrium_point sameAs 평형점.
- Equilibrium_point sameAs Equilíbrio_(equação_diferencial).
- Equilibrium_point sameAs m.051vy_.
- Equilibrium_point sameAs Q2648729.
- Equilibrium_point sameAs Q2648729.
- Equilibrium_point wasDerivedFrom Equilibrium_point?oldid=595004893.
- Equilibrium_point isPrimaryTopicOf Equilibrium_point.