Horseshoes in a class of simple circuits

Yan Huang and Xiao-Song Yang

Chaos, Solitons & Fractals, 2006, vol. 29, issue 1, 131-140

Abstract: In this paper we study dynamics of a class of simple single-scroll and two-scrolls type circuits, we show that these circuits are chaotic by giving a rigorous verification for existence of horseshoes in these systems. We prove that the Poincaré map derived from the ordinary differential equations of the single-scroll circuit system is semi-conjugate to the 2-shift map; and the Poincaré map of the two-scrolls circuit system is semi-conjugate to the 4-shift map.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:29:y:2006:i:1:p:131-140

DOI: 10.1016/j.chaos.2005.04.042

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