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 ... |
11 мар. 2023 г. · By definition, at least one trajectory spirals into the limit cycle as time approaches either positive or negative infinity. Like a sink, ... |
In this section we describe phase portraits and time series of solutions for different kinds of sinks. Sinks have coefficient matrices whose eigenvalues have ... |
– If α < 0, the origin is a spiral sink. – If α = 0, the origin is a center. – If α > 0, the origin is a spiral source. |
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). |
In the case of non-real eigenvalues you know you have a spiral (or a center, if the real part is zero); you know whether it is stable or unstable (look at the ... |
21 июн. 2018 г. · It is said that this critical point will be a center of the linear system, but that it may be either a center or a focus of the nonlinear system. |
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