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A memcapacitor-based hyperchaotic conservative system
Wei Zhou1, Guangyi Wang1, Herbert Ho-Ching Iu2
1Institute of Modern Circuit and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China.
Chaos (Woodbury, N.Y.)
|January 1, 2022
Summary
This study explores memcapacitor applications in conservative circuits, analyzing nonlinear dynamics and verifying results with simulations. A pseudorandom number generator was developed and tested using this hyperchaotic system.
Area of Science:
- Nonlinear dynamics
- Circuit theory
- Chaos theory
Background:
- Memcapacitors are crucial nonlinear circuit elements.
- Conservative circuits exhibit energy preservation.
- Hyperchaotic systems display complex dynamics.
Purpose of the Study:
- Investigate memcapacitor applications in conservative circuits.
- Analyze the nonlinear dynamics of a memcapacitor-based hyperchaotic conservative circuit.
- Develop and validate a pseudorandom number generator.
Main Methods:
- Analysis of divergence and Hamiltonian energy for conservative conditions.
- Detailed analysis of perpetual and equilibrium points.
- Dynamic maps and basin of attraction for studying system dynamics.
- Circuit simulations using MULTISIM and digital signal processing.
- NIST statistical test suite for pseudorandom number generator validation.
Main Results:
- Established conservative conditions for the memcapacitor system.
- Identified system parameters and initial condition influences on dynamics.
- Observed phenomena: interior crisis, largest Lyapunov exponent jump, coexisting conservative flows.
- Validated theoretical findings through circuit simulations.
- Designed and tested a pseudorandom number generator with NIST standards.
Conclusions:
- The memcapacitor is applicable in conservative circuits.
- The studied system exhibits rich nonlinear dynamics.
- The developed pseudorandom number generator shows potential for practical applications.
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