Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 32, Issue 4, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127422500572
Keywords
Conservative chaotic system; memristor rheostat; bifurcation; control
Funding
- National Natural Science Foundation of China [61871230, 51974045]
- Natural Science Foundation of Jiangsu Province [BK20181410]
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This study proposes a conservative chaotic system based on a variable-boostable chaotic system, which exhibits rich symmetrical dynamics. The system variable can be partially controlled by a parameter of a memristor. Experimental circuit and simulation demonstrate the properties of the system, including amplitude control and offset boosting.
Based on a variable-boostable chaotic system, a conservative chaotic system with controllable amplitude and offset is proposed. The system exhibits rich symmetrical dynamics under different parameters and initial conditions. More interestingly, a parameter of memristor poses a partial amplitude control to a system variable. Furthermore, the derived memristive system has the property of offset boosting, where an independent constant can be introduced for free rescaling of the average value of a system variable. Experimental circuit with a memristor rheostat is designed for amplitude control. Circuit simulation based on Multisim software agrees well with the systematic analysis and numerical exploration. To the best of our knowledge, in the literature there is no 3D conservative memristive system reported with such properties as amplitude control and offset boosting.
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