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A simplest parallel chaotic system of memristor
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Based on a proposed voltage-controlled memristor, a simplest parallel memristor chaotic system is constructed. The dynamical characteristics of the new chaotic system are analyzed, including Lyapunov exponent, Lyapunov dimension, time domain waveforms, portrait diagrams, Lyapunov exponent spectrum, bifurcation diagrams and Poincar mapping. An electronic circuit of the new system is designed and verified by simulations using the EWB software. Research results show that with the parameter change, the i-v characteristic of the memristor, instead of keeping inclined 8-shaped, becomes a fan-shape with a tail. The differences between the chaotic system and the magnetic-controlled memristor chaotic system are in two aspects: only one equilibrium point in the chaotic system, and the initial conditions do not affect the state of the system when the system can oscillate. Good matching between numerical simulation and circuit experimental simulation proves the existence and physical realizability of the new chaotic system.
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Title: A simplest parallel chaotic system of memristor
Description:
Based on a proposed voltage-controlled memristor, a simplest parallel memristor chaotic system is constructed.
The dynamical characteristics of the new chaotic system are analyzed, including Lyapunov exponent, Lyapunov dimension, time domain waveforms, portrait diagrams, Lyapunov exponent spectrum, bifurcation diagrams and Poincar mapping.
An electronic circuit of the new system is designed and verified by simulations using the EWB software.
Research results show that with the parameter change, the i-v characteristic of the memristor, instead of keeping inclined 8-shaped, becomes a fan-shape with a tail.
The differences between the chaotic system and the magnetic-controlled memristor chaotic system are in two aspects: only one equilibrium point in the chaotic system, and the initial conditions do not affect the state of the system when the system can oscillate.
Good matching between numerical simulation and circuit experimental simulation proves the existence and physical realizability of the new chaotic system.
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