Edge-of-Chaos and Chaotic Dynamics in Resistor-Inductor-Diode-Based Reservoir Computing
Series Resistor-Inductor-Diode (RLD) circuits are known to exhibit rich nonlinear dynamical behaviour that opens up intriguing opportunities for design of novel computational systems. In this paper, we suggest and theoretically validate a technically simple RLD circuit that implements a reservoir co...
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| Format: | Article |
| Language: | English |
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IEEE
2025-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10840230/ |
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| author | A. H. Abbas Hend Abdel-Ghani Ivan S. Maksymov |
| author_facet | A. H. Abbas Hend Abdel-Ghani Ivan S. Maksymov |
| author_sort | A. H. Abbas |
| collection | DOAJ |
| description | Series Resistor-Inductor-Diode (RLD) circuits are known to exhibit rich nonlinear dynamical behaviour that opens up intriguing opportunities for design of novel computational systems. In this paper, we suggest and theoretically validate a technically simple RLD circuit that implements a reservoir computing (RC) architecture optimized to predict the future evolution of highly nonlinear and chaotic time series. We demonstrate that the exploitation of the proposed RLD circuit in a periodic operating regime with a particular tuning on an edge-of-chaos mode enables the RLD-based reservoir computer to achieve high prediction accuracy, quantified as a normalized mean square error (NMSE) of approximately <inline-formula> <tex-math notation="LaTeX">$10^{-4}$ </tex-math></inline-formula>. We also evaluate the performance of RLD-RC tuned to operate in a chaotic regime under forced initial conditions, revealing the ability of the so-designed computer to accurately forecast complex time series and highlighting the potential of RLD circuits to serve as a backbone of efficient and versatile hardware RC systems. |
| format | Article |
| id | doaj-art-609d7af1d66a4b39a3416e6657558168 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-609d7af1d66a4b39a3416e66575581682025-01-31T00:00:57ZengIEEEIEEE Access2169-35362025-01-0113181911819910.1109/ACCESS.2025.352981510840230Edge-of-Chaos and Chaotic Dynamics in Resistor-Inductor-Diode-Based Reservoir ComputingA. H. Abbas0https://orcid.org/0000-0002-0412-0566Hend Abdel-Ghani1Ivan S. Maksymov2https://orcid.org/0000-0002-1428-1216Artificial Intelligence and Cyber Futures Institute, Charles Sturt University, Bathurst, NSW, AustraliaArtificial Intelligence and Cyber Futures Institute, Charles Sturt University, Bathurst, NSW, AustraliaArtificial Intelligence and Cyber Futures Institute, Charles Sturt University, Bathurst, NSW, AustraliaSeries Resistor-Inductor-Diode (RLD) circuits are known to exhibit rich nonlinear dynamical behaviour that opens up intriguing opportunities for design of novel computational systems. In this paper, we suggest and theoretically validate a technically simple RLD circuit that implements a reservoir computing (RC) architecture optimized to predict the future evolution of highly nonlinear and chaotic time series. We demonstrate that the exploitation of the proposed RLD circuit in a periodic operating regime with a particular tuning on an edge-of-chaos mode enables the RLD-based reservoir computer to achieve high prediction accuracy, quantified as a normalized mean square error (NMSE) of approximately <inline-formula> <tex-math notation="LaTeX">$10^{-4}$ </tex-math></inline-formula>. We also evaluate the performance of RLD-RC tuned to operate in a chaotic regime under forced initial conditions, revealing the ability of the so-designed computer to accurately forecast complex time series and highlighting the potential of RLD circuits to serve as a backbone of efficient and versatile hardware RC systems.https://ieeexplore.ieee.org/document/10840230/Reservoir computingnonlinear dynamicsbifurcation diagramFeigenbaum constantchaos computing |
| spellingShingle | A. H. Abbas Hend Abdel-Ghani Ivan S. Maksymov Edge-of-Chaos and Chaotic Dynamics in Resistor-Inductor-Diode-Based Reservoir Computing IEEE Access Reservoir computing nonlinear dynamics bifurcation diagram Feigenbaum constant chaos computing |
| title | Edge-of-Chaos and Chaotic Dynamics in Resistor-Inductor-Diode-Based Reservoir Computing |
| title_full | Edge-of-Chaos and Chaotic Dynamics in Resistor-Inductor-Diode-Based Reservoir Computing |
| title_fullStr | Edge-of-Chaos and Chaotic Dynamics in Resistor-Inductor-Diode-Based Reservoir Computing |
| title_full_unstemmed | Edge-of-Chaos and Chaotic Dynamics in Resistor-Inductor-Diode-Based Reservoir Computing |
| title_short | Edge-of-Chaos and Chaotic Dynamics in Resistor-Inductor-Diode-Based Reservoir Computing |
| title_sort | edge of chaos and chaotic dynamics in resistor inductor diode based reservoir computing |
| topic | Reservoir computing nonlinear dynamics bifurcation diagram Feigenbaum constant chaos computing |
| url | https://ieeexplore.ieee.org/document/10840230/ |
| work_keys_str_mv | AT ahabbas edgeofchaosandchaoticdynamicsinresistorinductordiodebasedreservoircomputing AT hendabdelghani edgeofchaosandchaoticdynamicsinresistorinductordiodebasedreservoircomputing AT ivansmaksymov edgeofchaosandchaoticdynamicsinresistorinductordiodebasedreservoircomputing |