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Updated: Oct 29, 2025
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Assembly and Characterization of Biomolecular Memristors Consisting of Ion Channel-doped Lipid Membranes
Published on: March 9, 2019
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Symmetrical Hopf-induced bursting and hyperchaos control in memristor-based circuit
1College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China.
Chaos (Woodbury, N.Y.)
|July 12, 2021
Summary
Researchers explored chaotic memristor circuits with external stimulation, revealing two-time scale dynamics. This study uncovers a power-law relationship in Hopf-induced bursting oscillations, enhancing chaos control.
Area of Science:
- Nonlinear Dynamics
- Circuit Theory
- Chaos Theory
Background:
- Memristor-based circuits offer unique nonlinear dynamics.
- External stimulation can induce complex behaviors like bursting oscillations.
- Understanding these dynamics is crucial for novel electronic applications.
Purpose of the Study:
- To propose and analyze a chaotic memristor circuit with external stimulation.
- To investigate the two-time scale dynamics and Hopf-induced bursting.
- To develop a hyperchaotic system using nonlinear state feedback.
Main Methods:
- Circuit design and simulation using Multisim.
- Analysis of dynamic properties and time-scale behaviors.
- Implementation of a nonlinear state feedback controller for hyperchaos.
Main Results:
- The system exhibits two-time scale dynamics under time-varying low-frequency stimulation.
- A power-law relationship was identified between delay-time and external frequency in Hopf-induced bursting.
- A 4D system demonstrated hyperchaos with the feedback controller.
Conclusions:
- The proposed memristor circuit effectively demonstrates complex dynamics and bursting oscillations.
- The identified power-law relationship provides insights into delay effects.
- The developed hyperchaotic system offers enhanced chaotic behavior for potential applications.
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