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Original Articles

Newton flows for elliptic functions I

Structural stability: characterization & genericity

&
Pages 815-835 | Received 09 Jul 2016, Accepted 30 Jun 2017, Published online: 17 Jul 2017

Figures & data

Figure 1. vs. .

Figure 1. vs. .

Figure 2. Local phase portraits around equilibria of .

Figure 2. Local phase portraits around equilibria of .

Figure 3. Phaseportrait .

Figure 3. Phaseportrait .

Figure 4. Phaseportrait of .

Figure 4. Phaseportrait of .

Figure 5. Phaseportrait .

Figure 5. Phaseportrait .

Figure 6. Phaseportrait .

Figure 6. Phaseportrait .

Figure 7. The planar and spherical North–South flow.

Figure 7. The planar and spherical North–South flow.

Figure 8. .

Figure 8. .

Figure 9. Newton flows for ; non-rectangular case; .

Figure 9. Newton flows for ; non-rectangular case; .

Figure 10. Newton flows for ; rectangular case; Re =0.

Figure 10. Newton flows for ; rectangular case; Re =0.

Figure 11. All zeros and poles for f inside P; after shift.

Figure 11. All zeros and poles for f inside P; after shift.