Characteristically Near Stable Vector Fields in the Polar Complex Plane

2025/04/08 by J. F. Peters, Peters, J. F., E. Cui +1 · 1 voice
Physics and Astronomy · #15A18 #32Q26 #54E05 #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.2504.06326

arxiv published 2025/04/08 · arxiv updated 2025/04/21

Abstract

This paper introduces results for characteristically near vector fields that are stable or non-stable in the polar complex plane ℂ. All characteristic vectors (aka eigenvectors) emanate from the same fixed point in 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 ℂ.

Citations

• Energy Dissipation in Hilbert Envelopes on Motion Waveforms Detected in Vibrating Systems: An Axiomatic Approach
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Discussions

• J. F. Peters, E. Cui: Characteristically Near Vector Fields in the Polar Complex Plane https://arxiv.org/abs/2504.06326 https://arxiv.org/pdf/2504.06326 https://arxiv.org/html/2504.06326 [bsky, 0 points, 1 comments]

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