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Table 2 Stability properties of the critical manifold S and the manifold P of periodic orbits

From: Dynamical systems analysis of spike-adding mechanisms in transient bursts

 

Two-dimensional critical manifold S

Three-dimensional manifold P

S 1 a

S 1 r

S 2 a

S 2 r

S 3 r

S 3 a

P r

P a

Dimension stable manifold

5

4

5

4

3

5

4

5

Dimension unstable manifold

N/A

3

N/A

3

4

N/A

4

N/A

  1. Overview of the different sheets and stability properties of the critical manifold S and the manifold P of periodic orbits for the simplified model (1) with g SI =0.5615 mS/cm 2 ; the number of sheets, as well as their stability, does not change for any of the other choices of g SI considered in this paper.