Implementation of the Simple Hyperchaotic Memristor Circuit with Attractor Evolution and Large-Scale Parameter...

Area of Science:

• Nonlinear Dynamics and Circuit Theory
• Chaos Theory and Complex Systems
• Memristor Applications

Background:

• Memristor-based circuits are crucial for developing advanced electronic systems.
• Understanding hyperchaotic systems is key to exploring complex dynamical behaviors.
• Previous research has explored memristor circuits, but novel simple designs are needed.

Purpose of the Study:

• To design and analyze a novel, simple, four-dimensional hyperchaotic memristor circuit.
• To investigate the circuit's dynamical behavior, including attractor evolution and coexisting attractors.
• To validate the circuit's performance through experimental implementation using FPGA technology.

Main Methods:

• Numerical simulations were employed to design and analyze the circuit's behavior.
• Spectral entropy complexity analysis was used to quantify the system's dynamics.
• Time-domain method with Field-Programmable Gate Array (FPGA) technology was used for experimental validation.

Main Results:

• The designed circuit exhibits rich attractor evolution and large-scale parameter permission.
• Significant dynamical behavior was confirmed through spectral entropy complexity analysis.
• Coexisting attractors and multiple stability were observed under symmetric initial conditions, further confirmed by attractor basin analysis.
• Experimental results using FPGA closely matched numerical simulation results.

Conclusions:

• The novel, simple memristor circuit demonstrates complex hyperchaotic dynamics and broad parameter selection.
• The circuit's ability to generate coexisting attractors and its stability highlight its sophisticated behavior.
• This memristor model holds significant potential for applications in secure communication, intelligent control, and memory storage.