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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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A novel discrete memristive hyperchaotic map with multi-layer differentiation, multi-amplitude modulation, and
Xinyan Wang1, Yuqi Wei1, Xu Sun1
1School of Electronic Engineering, Heilongjiang University, Harbin 150080, China.
Chaos (Woodbury, N.Y.)
|November 20, 2024
Summary
A new three-dimensional discrete memristive hyperchaotic map (3D-DMCHM) enhances chaotic map complexity and controllability. This memristor-based system shows promising applications in secure communication and random number generation.
Area of Science:
- Nonlinear Dynamics and Chaos Theory
- Memristor Applications
- Secure Communication Systems
Background:
- Memristors enhance chaotic maps, improving complexity and controllability.
- Chaotic maps are crucial for secure communication and random number generation.
- Discrete chaotic maps with memristors offer advanced functionalities.
Purpose of the Study:
- To construct and analyze a novel three-dimensional discrete memristive hyperchaotic map (3D-DMCHM).
- To investigate the complex dynamical behaviors and unique phenomena of the 3D-DMCHM.
- To confirm the map's complexity and hardware feasibility for practical applications.
Main Methods:
- Construction of a 3D-DMCHM using a cosine memristor.
- Analysis of fixed points, stability, phase diagrams, bifurcation diagrams, and Lyapunov exponents.
- Investigation of attractor basins, timing diagrams, and complexity tests.
Main Results:
- The 3D-DMCHM exhibits complex dynamics, entering chaos via period-doubling bifurcation.
- Observed phenomena include multi-layer differentiation, multi-amplitude control, and offset boosting.
- Unique offset behaviors with hidden chaotic attractors or coexisting attractors were identified.
- Complexity tests and digital signal processing circuit implementation confirmed high complexity and hardware feasibility.
Conclusions:
- The developed 3D-DMCHM demonstrates significant complexity and controllability.
- The map exhibits unique dynamical behaviors and phenomena.
- The hardware implementation confirms the practical feasibility of the 3D-DMCHM for secure communication and random number generation.
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