Characteristically Near Stable Vector Fields in the Polar Complex Plane

J. F. Peters; E. Cui

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arXiv · 2504.06326

Characteristically Near Stable Vector Fields in the Polar Complex Plane

J. F. Peters·E. Cui

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Abstract

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 $\mathbb{C}$.

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J. F. Peters, E. Cui. 2025-04-08. Characteristically Near Stable Vector Fields in the Polar Complex Plane. https://arxiv.org/abs/2504.06326

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