Stable torus and its bifurcation phenomena in a simple three-dimensional autonomous circuit

Y. Nishiuchi, T. Ueta and H. Kawakami

Chaos, Solitons & Fractals, 2006, vol. 27, issue 4, 941-951

Abstract: It is well known that a stable torus is observed as a result after the system meets the super-critical Neimark–Sacker bifurcation for a limit cycle. Although tori are easily observed in two-dimensional and periodically forced dynamical systems, there is a few papers about stable tori in three-dimensional autonomous systems. Besides, as physical circuit implementations, such circuits contain very special active elements, or have difficulty in realizing. In this paper, we show a very simple circuit of three-dimensional autonomous system, an extended Bonhöffer–van der Pol (BVP) oscillator, which is demonstrating a stable torus.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:4:p:941-951

DOI: 10.1016/j.chaos.2005.04.092

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