Bifurcation without parameters in a chaotic system with a memristive element

We investigate the effect of memory on a chaotic system experimentally and theoretically. For this purpose, we use Chua's oscillator as an electrical model system showing chaotic dynamics extended by a memory element in form of a double-barrier memristive device. The device consists of Au/NbO\(...

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Bibliographic Details
Published in:arXiv.org 2019-06
Main Authors: Birkoben, Tom, Drangmeister, Moritz, Zahari, Finn, Yanchuk, Serhiy, Hövel, Philipp, Kohlstedt, Hermann
Format: Article
Language:English
Subjects:
Aluminum
Bifurcations
Chaos theory
Dynamics
Memory devices
Niobium oxides
Variations
Online Access:Get full text
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Summary:We investigate the effect of memory on a chaotic system experimentally and theoretically. For this purpose, we use Chua's oscillator as an electrical model system showing chaotic dynamics extended by a memory element in form of a double-barrier memristive device. The device consists of Au/NbO\(_\text{x}\)/Al\(_\text{2}\)O\(_\text{3}\)/Al/Nb layers and exhibits strong analog-type resistive changes depending on the history of the charge flow. In the extended system strong changes in the dynamics of chaotic oscillations are observable. The otherwise fluctuating amplitudes of the Chua system are disrupted by transient silent states. After developing a model for Chua's oscillator with a memristive device, the numerical treatment reveals the underling dynamics as driven by the slow-fast dynamics of the memory element. Furthermore, the stabilizing and destabilizing dynamic bifurcations are identified that are passed by the system during its chaotic behavior.
ISSN:2331-8422