Analysis of superstable phenomena generated by piecewise-constant chaotic spiking oscillator with state-dependent switching

Yusuke MATSUOKA

doi:10.1587/transfun.2024EAP1046

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Analysis of superstable phenomena generated by piecewise-constant chaotic spiking oscillator with state-dependent switching

Yusuke MATSUOKA

著者情報

キーワード: Bifurcation phenomenon, Superstable periodic orbit, Border-collision bifurcation, Chaotic spiking oscillator

ジャーナルフリー早期公開

論文ID: 2024EAP1046

DOI https://doi.org/10.1587/transfun.2024EAP1046

この記事には本公開記事があります。

The final version of this article is now available: Vol. E108.A (2025), No. 3 pp. 537-545

詳細

抄録

This paper analyzes the superstable periodic orbits (SSPOs) generated by a piecewise-constant chaotic spiking oscillator. For this oscillator, the oscillation and reset of states are repeated, which generates chaos and SSPOs. A one-dimensional return map described by the dynamics is theoretically derived. This map has discontinuous points. A theoretical analysis of border-collision bifurcations is performed to clarify the regions of the SSPOs in the parameter space.

責任著者(Corresponding author)

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