Abstract
A novel hyperchaotic circuit is proposed by introducing a memristor feedback in a simple Lorenz-like chaotic system. Dynamic analysis shows that it has infinite equilibrium points and multistability. Additionally, the symmetrical coexistent attractors are investigated. Further, the hyperchaotic system is implemented by analogue circuits. Corresponding experimental results are completely consistent with the theoretical analysis.
Highlights
Chua [1] predicted the existence of the fourth basic circuit element memristor in 1971
Wang presented a novel memristor model based on light dependent resistor (LDR) and its emulator in [9] and further realized a memcapacitor emulator based on the LDR memristor in [10]
Later in 2014, [11] analyzed dynamic characteristics of a LDR memristor based chaotic system. Another new memristor model was applied to Chua's circuit, and the complex transient dynamic behaviour was found in this circuit [12]
Summary
Chua [1] predicted the existence of the fourth basic circuit element memristor in 1971. In 2019, based on a new current‐controlled memristor, a new four‐ dimensional chaotic circuit is proposed and studied [8] In these studies, nonlinear characteristic of memristor and dynamical properties of memristive chaotic and hyperchaotic circuits had been researched. Later in 2014, [11] analyzed dynamic characteristics of a LDR memristor based chaotic system Another new memristor model was applied to Chua's circuit, and the complex transient dynamic behaviour was found in this circuit [12]. In order to research application circuits with the HP memristor, [13] presented a flux‐controlled model of HP memristor and analyzed its chaotic oscillator. In this paper, based on a simple chaotic circuit of three dimension Lorenz‐like system, a hyperchaotic circuit was constructed by introducing a memristor feedback.
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