2020Electronics LettersRequires access

Modelling and circuit realisation of a new no‐equilibrium chaotic system with hidden attractor and coexisting attractors

Qiang Lai, Zhiqiang Wan, Paul Didier Kamdem Kuate

Open publisher page 81 citations

Abstract

This Letter reports a new no‐equilibrium chaotic system with hidden attractors and coexisting attractors. Bifurcation diagram shows that the proposed system generates chaos through period‐doubling bifurcation with the variation of system parameters, and the hidden chaotic and periodic attractors are visually given by phase portraits. The coexisting chaotic and periodic attractors from different initial conditions are observed in the system. The analogue circuit realisation and microcontroller‐based experimental implementation of the system are given to verify its physical existence.

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What this paper is about

This Letter reports a new no‐equilibrium chaotic system with hidden attractors and coexisting attractors. Bifurcation diagram shows that the proposed system generates chaos through period‐doubling bifurcation with the variation of system parameters, and the hidden chaotic and periodic attractors are visually given by phase portraits. The coexisting chaotic and periodic attractors from different initial conditions are observed in the system. The analogue circuit realisation and microcontroller‐based experimental implementation of the system are given to verify its physical existence.

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OpenAlex reports 81 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This Letter reports a new no‐equilibrium chaotic system with hidden attractors and coexisting attractors. Bifurcation diagram shows that the proposed system generates chaos through period‐doubling bifurcation with the variation of system parameters, and the hidden chaotic and periodic attractors are visually given by phase portraits. The coexisting chaotic and periodic attractors from different initial conditions are observed in the system. The analogue circuit realisation and microcontroller‐based experimental implementation of the system are given to verify its physical existence.

Key concepts: Attractor, Realisation, Chaotic, Statistical physics, Computer science, Chua's circuit, Control theory (sociology), Physics

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