In this section we describe phase portraits and time series of solutions for different kinds of sinks. Sinks have coefficient matrices whose eigenvalues have ... |
Phase Portrait. Saddle: λ1 > 0 > λ2. Nodal Source: λ1 > λ2 > 0. Nodal Sink: λ1 < λ2 < 0. Complex Eigenvalues. Center: α = 0. Spiral Source: α > 0. Spiral Sink: ... |
Degenerate Nodal Sink: T < 0 borderline case nodal sink spiral sink. • x y. 6 ... 3. Given A, find the general solution (or a solution to an IVP), classify the. |
Videolar – If λ1,λ2 have different signs the origin is a SADDLE. – If λ1,λ2 are both negative, the origin is a SINK. – If λ1,λ2, are both positive, the ... |
nodal sink (it is asymptotically) stable. L₁ = span {√, } general solution ... phase portrait : Sec. 3.3, # 10. Sec. 3.4, #6. Sec. 3.5, # 4. |
If r1 and r2 are both negative, then as t → ∞, x → 0. In this case the point 0 is called a nodal sink. All trajectories go to this sink. If, however, r1 and r2 ... |
This means that all orbits not on the line x = c1v1 will approach the origin tangent to the line x = c2v2. This portrait is called a nodal sink. • If λ1 < λ2 = ... |
3 мая 2010 г. · This lets you fill out this phase portrait, which is called a "defective nodal sink." This isn't the only thing that can happen if you have ... |
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