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Chaotic oscillator containing memcapacitor and meminductor and its dimensionality reduction analysis
Fang Yuan1, Guangyi Wang1, Xiaowei Wang2
1Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.
Chaos (Woodbury, N.Y.)
|April 3, 2017
Summary
New meminductor and memcapacitor models lead to a novel 5D chaotic oscillator. Comparisons with its 3D reduced model reveal distinct dynamics, with potential for secure encryption applications using generated chaotic sequences.
Area of Science:
- Nonlinear Dynamics
- Circuit Theory
- Chaos Theory
Background:
- Memristor-based circuits are crucial for advanced electronics.
- Developing novel chaotic oscillators with unique dynamics is an active research area.
- Dimensionality reduction is a key technique for simplifying complex dynamical systems.
Purpose of the Study:
- To design smooth curve models for meminductors and memcapacitors.
- To propose a new five-dimensional chaotic oscillator incorporating these components.
- To compare the dynamics of the five-dimensional system with its dimensionality-reduced three-dimensional model.
Main Methods:
- Equilibrium point and stability analysis.
- Bifurcation diagrams and Lyapunov exponent spectrum analysis.
- Digital signal processing for experimental realization and chaotic sequence generation.
Main Results:
- Novel smooth curve models for meminductor and memcapacitor were developed.
- A new five-dimensional chaotic oscillator was successfully designed and analyzed.
- Significant differences in dynamic behaviors were observed between the 5D and 3D systems.
- Experimental validation using digital signal processing confirmed the chaotic oscillator's functionality.
Conclusions:
- The proposed meminductor and memcapacitor models enable the creation of complex chaotic systems.
- The five-dimensional system exhibits richer dynamics compared to its reduced three-dimensional counterpart.
- The generated chaotic sequences hold promise for secure communication and encryption applications.
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