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Joined 2026-09-21 Message
Incoming links: Saddle equilibrium
Index of a planar periodic orbit 2026-10-03
A planar periodic orbit, oriented by the flow, has Poincare index . The index theorem equates this with the sum of the indices of the isolated equilibria enclosed by the orbit. A hyperbolic equilibrium has index when its Jacobian matrix has positive determinant and index when it is a saddle equilibrium.
Past exam of the mathematics course of the University of Cambridge 2001 ia Paper 2 8B Solution Created 2026-09-24 Updated 2026-09-24