Journal
CHINESE JOURNAL OF PHYSICS
Volume 70, Issue -, Pages 69-81Publisher
ELSEVIER
DOI: 10.1016/j.cjph.2020.11.007
Keywords
Asymmetric memristive diode-bridge; Jerk circuit; Asymmetric coexisting bifurcations; Local attraction basin; Multi-stability
Categories
Funding
- National Natural Science Foundation of China [61801054, 51777016]
- Natural Science Foundations of Jiangsu Province, China [BK20160282]
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An asymmetric memristive diode-bridge (MDB) emulator is introduced to imitate the characteristics of a physical memristor, leading to the observation of asymmetric coexisting bifurcations and multi-stability. The study reveals the presence of multiple attractors under different parameters through numerical analysis and experimental validation.
An asymmetric memristive diode-bridge (MDB) emulator is raised to imitate the asymmetric voltampere characteristic of a physical memristor. Then, an asymmetric MDB-based Jerk circuit is built and its state equation is derived, upon which the theoretical analysis, MATLAB-based numerical simulations, and hardware measurements are executed to reveal the asymmetric coexisting bifurcations and the phenomenon of multi-stability. The memristive Jerk circuit has three equilibrium points of a pair nontrivial equilibrium points of asymmetric unstable saddle-foci and a zero equilibrium point of unstable saddle-focus, which leads to the occurrence of asymmetric coexisting bifurcations and asymmetric local attraction basins. The asymmetrical bifurcations are numerically disclosed by 1-D/2-D bifurcation plots, Lyapunov spectrum, and phase plane trajectories. Multi-stability with asymmetric coexisting attractors under two sets of system parameters are demonstrated as examples by local attraction basins and phase plane trajectories. Thereafter, experimental circuit prototype employing discrete components is manually welded and hardware measurements are executed to validate the numerical simulations.
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