Open AccessHidden dynamics and multi‐stability in an improved third‐order Chua's circuit
Author(s) -
Chen Mo,
Yu Jingjing,
Bao BoCheng
Publication year - 2015
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2015.0149
Subject(s) - attractor , saddle point , chua's circuit , saddle , stability (learning theory) , control theory (sociology) , zero (linguistics) , equilibrium point , order (exchange) , computer science , dynamics (music) , point (geometry) , mathematics , topology (electrical circuits) , physics , mathematical analysis , artificial intelligence , control (management) , differential equation , mathematical optimization , geometry , finance , machine learning , acoustics , economics , linguistics , philosophy , combinatorics
By utilising an active diode pair to substitute the classical Chua's diode, an improved third‐order Chua's circuit is proposed in this study. This circuit has an unstable zero saddle point and two stable non‐zero saddle‐foci in a local parameter region, from which hidden dynamics and multi‐stability are discovered. The parameter region of hidden dynamics is figured out and hidden attractors are captured numerically and experimentally. Furthermore, multi‐stability in the proposed circuit are also exhibited by numerical and circuit simulations.