Table 2.
The local phase portraits at the finite and infinite equilibrium points of the continuous piecewise differential systems (I)
| Systems | Conditions | Finite equilibrium points | Infinite equilibrium points |
|---|---|---|---|
| (I) | (I-1): | (stable node) | (saddle) |
| (unstable node) | |||
| (saddle) | (stable node) | ||
| (unstable node) | |||
| (I-2): | (stable node) | p(semi-hyperbolic saddle-node) | |
| (saddle) | (stable node) | ||
| (unstable node) | |||
| (I-3): | (stable focus) | ||
| (saddle) | (stable node) | ||
| (unstable node) | |||
| (I-4): | (center) | ||
| (saddle) | (stable node) | ||
| (unstable node) | |||
| (I-5): | (unstable focus) | ||
| (saddle) | (stable node) | ||
| (unstable node) | |||
| (I-6): | (unstable node) | p(semi-hyperbolic saddle-node) | |
| (saddle) | (stable node) | ||
| (unstable node) | |||
| (I-7): | (unstable node) | (stable node) | |
| (saddle) | |||
| (saddle) | (stable node) | ||
| (unstable node) |