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Hyperbolic equilibrium point

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…

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Hyperbolic equilibrium point

Nodes25
Edges24
Triples7
Avg. degree1.92
Density0.08
Components1

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Hyperbolic equilibrium point

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related to Flows · 7
Hyperbolic equilibrium point → C1, Grobman, Hyperbolic, If, Jacobian, Let, The Hartman

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hyperbolic point system equilibrium eigenvalues fixed matrix hold example notes displaystyle jacobian dynamical systems near manifold invariant set also map

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SubjectPredicateObjectConfidenceSrc
Hyperbolic equilibrium pointrelated to FlowsLet0.60section
Hyperbolic equilibrium pointrelated to FlowsC10.60section
Hyperbolic equilibrium pointrelated to FlowsJacobian0.60section
Hyperbolic equilibrium pointrelated to FlowsIf0.60section
Hyperbolic equilibrium pointrelated to FlowsHyperbolic0.60section
Hyperbolic equilibrium pointrelated to FlowsThe Hartman0.60section
Hyperbolic equilibrium pointrelated to FlowsGrobman0.60section

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