MIN Fu-hong, JIN Qiu-sen. The Analysis of Antimonotonicity and Extreme Multistability for a Two-Memristor-Based Shinriki Oscillator[J]. Acta Electronica Sinica, 2019, 47(11): 2263-2270.
DOI:
MIN Fu-hong, JIN Qiu-sen. The Analysis of Antimonotonicity and Extreme Multistability for a Two-Memristor-Based Shinriki Oscillator[J]. Acta Electronica Sinica, 2019, 47(11): 2263-2270. DOI: 10.3969/j.issn.0372-2112.2019.11.004.
The Analysis of Antimonotonicity and Extreme Multistability for a Two-Memristor-Based Shinriki Oscillator
A dual memristive shinriki oscillator is proposed through expanding Shinriki oscillator with an active charge-controlled memristor and substituting the series-parallel diode loop in the original circuit with a flux-controlled memristor with an absolute value term. Firstly
the mathematical model of the memristive oscillator is established according to the circuit topology diagram. Secondly
the coexisting bifurcations and routes to period-chaos transitions are analyzed when the circuit parameters are changed. Results show that Shinriki oscillator with double memristors exhibits a great dependence on parameter values and initial conditions of memristors. When the parameter values and initial conditions vary in a particular domain
the oscillator will exhibit nonlinear dynamical behaviors such as the phenomenon of coexisting antimonotonicity
incomplete symmetric behaviors
extreme multistability
etc. Moreover
the digital module circuit of the oscillator is constructed by the FPGA development board. The experimental waveform is captured on the oscilloscope
which verifies the accuracy of numerical simulation.