<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Amnesia-resistive chaotic circuits have various application prospects due to their unique circuit characteristics. In this paper, by studying the relationship between memristors and chaotic circuits, two models of magneto-controlled memristors with smooth quadratic monotonic rise nonlinear characteristics are constructed based on Tsai’s circuit, and an active memristor circuit composed of negative conductance is combined to replace Tsai’s diode in Tsai’s circuit system, and then a magneto-controlled memristor is inserted between the LC resonant part of the circuit, thus establishing a heterogeneous memristor second-order chaotic circuit. Multisim is used for device modeling, circuit construction, and system composition and simulation. The simulation tests show that when <italic>t</italic> ∈ [0,900] ∪ [1800,2500], the system exhibits a chaotic state. When <italic>t</italic> ∈ (900,1800), the system exhibits a periodic state. As the initial value parameter <italic>d</italic> varies between [2,4.64], the state of the system shifts between chaotic and hyperchaotic states, while the complexity of the system changes back and forth. This study demonstrates that the heterogeneous magneto-controlled memristor chaotic circuit has a rich, chaotic behavior, providing an effective reference for applying chaotic memristor circuits.</p>
</abstract>

Amnesia-resistive chaotic circuits have various application prospects due to their unique circuit characteristics. In this paper, by studying the relationship between memristors and chaotic circuits, two models of magneto-controlled memristors with smooth quadratic monotonic rise nonlinear characteristics are constructed based on Tsai’s circuit, and an active memristor circuit composed of negative conductance is combined to replace Tsai’s diode in Tsai’s circuit system, and then a magneto-controlled memristor is inserted between the LC resonant part of the circuit, thus establishing a heterogeneous memristor second-order chaotic circuit. Multisim is used for device modeling, circuit construction, and system composition and simulation. The simulation tests show that when t ∈ [0,900] ∪ [1800,2500], the system exhibits a chaotic state. When t ∈ (900,1800), the system exhibits a periodic state. As the initial value parameter d varies between [2,4.64], the state of the system shifts between chaotic and hyperchaotic states, while the complexity of the system changes back and forth. This study demonstrates that the heterogeneous magneto-controlled memristor chaotic circuit has a rich, chaotic behavior, providing an effective reference for applying chaotic memristor circuits.

Characterization of second-order chaotic circuits with heterogeneous memristors

Hunan University of Science and Engineering

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Characterization of second-order chaotic circuits with heterogeneous memristors"}

Amnesia-resistive chaotic circuits have various application prospects due to their unique circuit characteristics. In this paper, by studying the relationship...

Characterization of second-order chaotic circuits with heterogeneous memristors

Published Online: Sep 09, 2023

Page range: -

Received: Nov 14, 2022

Accepted: Mar 20, 2022

DOI: https://doi.org/10.2478/amns.2023.2.00328

Keywords
Heterogeneous memristor, Second-order chaotic circuit, Chua’s circuit, Chaotic state, System complexity

© 2023 Rong Li, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Characterization of second-order chaotic circuits with heterogeneous memristors

Published Online: Sep 09, 2023

Page range: -

Received: Nov 14, 2022

Accepted: Mar 20, 2022

DOI: https://doi.org/10.2478/amns.2023.2.00328

KeywordsHeterogeneous memristor, Second-order chaotic circuit, Chua’s circuit, Chaotic state, System complexity

© 2023 Rong Li, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Heterogeneous memristor, Second-order chaotic circuit, Chua’s circuit, Chaotic state, System complexity