Characteristically Near Stable Vector Fields in the Polar Complex Plane
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909585557684224 |
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| author | Peters, J. F. Cui, E. |
| author_facet | Peters, J. F. Cui, E. |
| contents | This paper introduces results for characteristically near vector fields that are stable or non-stable in the polar complex plane $\mathbb{C}$. All characteristic vectors (aka eigenvectors) emanate from the same fixed point in $\mathbb{C}$, namely, 0. Stable characteristic vector fields satisfy an extension of the Krantz stability condition, namely, the maximal eigenvalue of a stable system lies within or on the boundary of the unit circle in $\mathbb{C}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06326 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characteristically Near Stable Vector Fields in the Polar Complex Plane Peters, J. F. Cui, E. General Physics 32Q26, 15A18, 54E05 This paper introduces results for characteristically near vector fields that are stable or non-stable in the polar complex plane $\mathbb{C}$. All characteristic vectors (aka eigenvectors) emanate from the same fixed point in $\mathbb{C}$, namely, 0. Stable characteristic vector fields satisfy an extension of the Krantz stability condition, namely, the maximal eigenvalue of a stable system lies within or on the boundary of the unit circle in $\mathbb{C}$. |
| title | Characteristically Near Stable Vector Fields in the Polar Complex Plane |
| topic | General Physics 32Q26, 15A18, 54E05 |
| url | https://arxiv.org/abs/2504.06326 |