In this section we describe phase portraits and time series of solutions for different kinds of sinks. Sinks have coefficient matrices whose eigenvalues have ... |
Videolar Spiral Source: α > 0. Spiral Sink: α < 0. Borderline Case: Center (α = 0) is border between spiral source (α > 0) and spiral sink (α < 0). Jiwen He ... |
Borderline Case: Center (α = 0) is border between spiral source (α > 0) and spiral sink (α < 0). 4. Page 5. Phase Portraits and Time Plots for Cases B (pplane6). |
Because of eat , the spiral goes out if a > 0 : spiral source. Solutions spiral in if a < 0 : spiral sink. The frequency ! controls how fast the solutions ... |
Recall that: – If α < 0, the origin is a spiral sink. – If α = 0, the origin is a center. |
The phase portrait of this solution indicates that we do indeed have a spiral sink (Figure 3.4.5).. a direction field of slope arrows and a solution curve ... |
If µ < 0 then all orbits spiral into the origin as t → ∞. This portrait is called a spiral sink. The spiral is counterclockwise if a21 > 0, and is clockwise if ... |
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