Slow-fast dynamics in a chaotic system with strongly asymmetric memristive element

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Date
2020-06
Authors
Birkoben, Tom
Drangmeister, Moritz
Zahari, Finn
Yanchuk, Serhiy
Hövel, Philipp
Kohlstedt, Hermann
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World Scientific
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Abstract
We investigate the effect of a memristive element on the dynamics of a chaotic system. For this purpose, the chaotic Chua’s oscillator is extended by a memory element in the form of a double-barrier memristive device. The device consists of Au/NbOx/Al2O3/Al/Nb layers and exhibits strong analog-type resistive changes depending on the history of the charge flow. In the obtained system we observe strong changes in the dynamics of chaotic oscillations. The otherwise fluctuating amplitudes of Chua’s system are disrupted by transient silent states. Numerical simulations and analysis of the extended model reveal that the underlying dynamics possesses slow–fast properties due to different timescales between the memory element and the base system. Furthermore, the stabilizing and destabilizing dynamic bifurcations are identified that are traversed by the system during its chaotic behavior.
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Keywords
Attractor , Chaotic system , Memory , Memristive device , Memristor , Transient silent state
Citation
Birkoben, T., Drangmeister, M., Zahari, F., Yanchuk, S., Hövel, P. and Kohlstedt, H. (2020) 'Slow–Fast Dynamics in a Chaotic System with Strongly Asymmetric Memristive Element', International Journal of Bifurcation and Chaos, 30(08), 2050125 (10 pp). doi: 10.1142/S0218127420501254