Diagnostics — nonlinear_beta_gamma/supercritical

Diagnostic archive — not quantitative evidence

These are raw solver diagnostics kept for inspection and provenance. They are not reader-facing evidence and must not be cited for quantitative claims. The curated, validated figures live on the Results page. Archives marked provenance-only in the evidence manifest are excluded here.

4 case(s), 48 panel(s).

a1_b1_alpha1_m2_beta0p5_gamma2_mu1_nu1_L1_n1 · n₀=1 · χ*=8.4647 · 12 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=0.5, \(\gamma\)=2, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=8.4647, \(A\)=-1.6161e-02, \(\beta^+\)=5.312, \(\beta_{n_0}(\beta)\)=+1.0573e+01 → supercritical at this \(\beta\)

chi8-0355_ep0-0010_m

chi8-0355_ep0-0010_p

chi8-2892_ep0-0010_m

chi8-2892_ep0-0010_p

chi8-3738_ep0-0010_m

chi8-3738_ep0-0010_p

chi8-5494_ep0-0010_m

chi8-5494_ep0-0010_p

chi8-6340_ep0-0010_m

chi8-6340_ep0-0010_p

chi8-8880_ep0-0010_m

chi8-8880_ep0-0010_p

a1_b1_alpha1_m2_beta0p5_gamma3_mu1_nu1_L1_n1 · n₀=1 · χ*=5.6431 · 12 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=0.5, \(\gamma\)=3, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=5.6431, \(A\)=-3.6363e-02, \(\beta^+\)=40.182, \(\beta_{n_0}(\beta)\)=+8.4619e+00 → supercritical at this \(\beta\)

chi5-3570_ep0-0010_m

chi5-3570_ep0-0010_p

chi5-5262_ep0-0010_m

chi5-5262_ep0-0010_p

chi5-5826_ep0-0010_m

chi5-5826_ep0-0010_p

chi5-6996_ep0-0010_m

chi5-6996_ep0-0010_p

chi5-7560_ep0-0010_m

chi5-7560_ep0-0010_p

chi5-9253_ep0-0010_m

chi5-9253_ep0-0010_p

a1_b1_alpha1_m2_beta1_gamma2_mu1_nu1_L1_n1 · n₀=1 · χ*=11.9709 · 12 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=1, \(\gamma\)=2, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=11.9709, \(A\)=-1.6161e-02, \(\beta^+\)=5.312, \(\beta_{n_0}(\beta)\)=+9.5089e+00 → supercritical at this \(\beta\)

chi11-3639_ep0-0010_m

chi11-3639_ep0-0010_p

chi11-7228_ep0-0010_m

chi11-7228_ep0-0010_p

chi11-8424_ep0-0010_m

chi11-8424_ep0-0010_p

chi12-0906_ep0-0010_m

chi12-0906_ep0-0010_p

chi12-2103_ep0-0010_m

chi12-2103_ep0-0010_p

chi12-5695_ep0-0010_m

chi12-5695_ep0-0010_p

a1_b1_alpha1_m2_beta1_gamma3_mu1_nu1_L1_n1 · n₀=1 · χ*=7.9806 · 12 panels

Parameters — \(a\)=1, \(b\)=1, \(\alpha\)=1, \(m\)=2, \(\beta\)=1, \(\gamma\)=3, \(\mu\)=1, \(\nu\)=1, \(L\)=1, \(n_0\)=1

Derived — \(u^*\)=1.0000, \(\chi^*\)=7.9806, \(A\)=-3.6363e-02, \(\beta^+\)=40.182, \(\beta_{n_0}(\beta)\)=+9.0677e+00 → supercritical at this \(\beta\)

chi7-5759_ep0-0010_m

chi7-5759_ep0-0010_p

chi7-8152_ep0-0010_m

chi7-8152_ep0-0010_p

chi7-8949_ep0-0010_m

chi7-8949_ep0-0010_p

chi8-0604_ep0-0010_m

chi8-0604_ep0-0010_p

chi8-1402_ep0-0010_m

chi8-1402_ep0-0010_p

chi8-3796_ep0-0010_m

chi8-3796_ep0-0010_p