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λ=(1±√-39)
λ=(0±√-28)
λ=(-1±√-39)
λ=(1±√0.0)
λ=(-1±√0.0)
λ=(1±√21)
λ=(-5±√9)
λ=(-6±√36)
λ=(6±√36)
Wxx+Wyy<2Wxy, Δ≠0, τ>0
unstable spiral + limit cycle
Wxx+Wyy<2Wxy, Δ≠0, τ=0
closed orbits + limit cycle
Wxx+Wyy<2Wxy, Δ≠0, τ<0
stable spiral
Wxx+Wyy=2Wxy, Δ≠0, τ>0
unstable star
Wxx+Wyy=2Wxy, Δ≠0, τ<0
stable star
Wxx+Wyy>2Wxy, Δ<0
saddle node+boundary node
Wxx+Wyy>2Wxy, Δ>0, τ<0
stable node
Δ=0, no isolated fixed point
line attractor
Δ=0, no isolated fixed point
line repeller
plotly-logomark
Edit chart
Rzalpaca's interactive graph and data of "λ=(1±√-39), λ=(0±√-28), λ=(-1±√-39), λ=(1±√0.0), λ=(-1±√0.0), λ=(1±√21), λ=(-5±√9), λ=(-6±√36), λ=(6±√36)" is a line chart, showing λ=(1±√-39), λ=(0±√-28), λ=(-1±√-39), λ=(1±√0.0), λ=(-1±√0.0), λ=(1±√21), λ=(-5±√9), λ=(-6±√36), λ=(6±√36). The x-axis shows values from 0 to 0. The y-axis shows values from 0 to 0. This visualization has the following annotations: Wxx+Wyy<2Wxy, Δ≠0, τ>0 unstable spiral + limit cycle; Wxx+Wyy<2Wxy, Δ≠0, τ=0 closed orbits + limit cycle; Wxx+Wyy<2Wxy, Δ≠0, τ<0 stable spiral; Wxx+Wyy=2Wxy, Δ≠0, τ>0 unstable star; Wxx+Wyy=2Wxy, Δ≠0, τ<0 stable star; Wxx+Wyy>2Wxy, Δ<0 saddle node+boundary node; Wxx+Wyy>2Wxy, Δ>0, τ<0 stable node; Δ=0, no isolated fixed point line attractor; Δ=0, no isolated fixed point line repeller