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A physical SBT-memristor-based Chua's circuit and its complex dynamics.
Yuman Zhang1, Mei Guo1, Gang Dou1
1College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590 Shandong, China.
Chaos (Woodbury, N.Y.)
|September 6, 2018
Summary
This study introduces a new Chua's circuit using a physical SBT memristor. The memristor-based circuit exhibits complex dynamics, including chaos, offering insights for memristor circuit design.
Area of Science:
- Nonlinear Dynamics and Circuit Theory
- Solid-State Electronics and Memristor Devices
Background:
- Memristors are fundamental electronic components with memory properties.
- Chua's circuit is a classic nonlinear circuit known for exhibiting chaotic behavior.
Purpose of the Study:
- To present a novel physical Chua's circuit design utilizing a Silicon- বিলম্ব-Titanium (SBT) memristor.
- To model and analyze the complex dynamics of this new memristor-based circuit.
Main Methods:
- A physical SBT memristor was integrated into Chua's circuit, replacing the traditional Chua diode.
- The circuit was mathematically modeled using fourth-order (voltage-current) and third-order (flux-charge) nonlinear systems.
- Theoretical analysis and numerical simulations were employed to study circuit stability and dynamics.
Main Results:
- The SBT memristor-based Chua's circuit demonstrates rich dynamical behaviors, including sinks, periodic cycles, limit cycles, and chaos.
- Circuit stability was found to depend on the initial state of the SBT memristor and the circuit's linear resistance.
- Complex transient dynamical behaviors were also observed.
Conclusions:
- The physical realization of an SBT memristor-based Chua's circuit is feasible and exhibits complex nonlinear dynamics.
- This research provides a foundation for further investigations into memristor-based chaotic circuits and devices.
- The findings contribute to the understanding of memristor applications in nonlinear systems.
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