Experimental observation of hidden Chua’s attractor

Ning Wang, Dan Xu, N.V. Kuznetsov, Han Bao, Mo Chen and Quan Xu

Chaos, Solitons & Fractals, 2023, vol. 170, issue C

Abstract: Eleven years have passed since the discovery of the first chaotic hidden attractor in Chua system with piecewise-linear nonlinearity. Experimental observation of such attractor is still a hard work as the attraction basin of such hidden attractor does not intersect with any system equilibrium point and is far away from the origin. The key technical difficulty is the accurate configuration of non-zero initial values for dynamic elements. In this Letter, offset control is applied to shift the attraction basin and mapping the non-zero initial values to zero ones. Consequently, the attraction basin is intersect with origin, which allows us to experimentally observe such hidden attractor via pre-discharge all dynamic elements.

Keywords: Chua’s circuit; Hidden attractor; Basin of attraction; Offset control; Experimental study (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923003284

DOI: 10.1016/j.chaos.2023.113427

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