A planar hyperbolic equilibrium is a saddle when the Jacobian determinant is negative. It has one stable and one unstable eigendirection and corresponding one-dimensional invariant manifolds.
Ancestors (7)
- Linear stability of a planar equilibrium
- Equilibrium point of a dynamical system
- Autonomous planar system
- Dynamical systems
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- Asymmetric planar gluing return map
- Cubic potential barrier phase portrait
- Eigendirection
- Global bifurcation
- Index of a planar periodic orbit
- Linearization stability theorem
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