Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions
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2022
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The appearance of chaos along the “charged” resonance circuit branch of the current-voltage characteristics is examined in a model of intrinsic Josephson junctions shunted by resistive, inductive and capacitive circuit elements. Detailed numerical simulations of the electric charge density, current-voltage characteristics and various chaos indicators, such as Lyapunov exponents and Poincaré sections are performed over a wide range of relevant system parameters. In mapping the parameter space, several distinctly different regions are found: some completely regular, while others are dominated by chaos, where the rc-frequency determines the appearance and properties of those regions. At higher values of the rc-frequency chaos appears at first over relatively narrow regions at the lower-current end of the rc-branch. As the rc-frequency is lowered, the chaotic region at the lowered-current end of the rc-branch may becomes wider, depending sensitively on the combination of system parameters.... Examination of the metric entropy and maximal Kaplan–Yorke dimension shows that the dimensions of the chaotic attractors associated with the chaos do not plateau, as in the overdamped case, but surprisingly increase indefinitely with the number of junctions, indicating that the system is capable of truly high-dimensional chaos. The onset of the chaos along the rc-branch is found to occur via a two-frequency quasi-periodic route. Our results provided a guide for specific parameter combinations that could minimize the chaos, thereby making certain applications potentially more viable.
Кључне речи:
shunted intrinsic Josphson junctions / CCJJ + DC model / Coupled oscillators / Extensive chaos / Resonance circuit branchИзвор:
Chaos, Solitons and Fractals, 2022, 156, 111865-Финансирање / пројекти:
- JINR-Serbia and JINR-SA [No. 18-71-10095]
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200017 (Универзитет у Београду, Институт за нуклеарне науке Винча, Београд-Винча) (RS-MESTD-inst-2020-200017)
DOI: 10.1016/j.chaos.2022.111865
ISSN: 0960-0779
WoS: 00080361580000
Scopus: 2-s2.0-85123891588
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Институција/група
VinčaTY - JOUR AU - Botha, André E. AU - Shukrinov, Yury M. AU - Tekić, Jasmina PY - 2022 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10157 AB - The appearance of chaos along the “charged” resonance circuit branch of the current-voltage characteristics is examined in a model of intrinsic Josephson junctions shunted by resistive, inductive and capacitive circuit elements. Detailed numerical simulations of the electric charge density, current-voltage characteristics and various chaos indicators, such as Lyapunov exponents and Poincaré sections are performed over a wide range of relevant system parameters. In mapping the parameter space, several distinctly different regions are found: some completely regular, while others are dominated by chaos, where the rc-frequency determines the appearance and properties of those regions. At higher values of the rc-frequency chaos appears at first over relatively narrow regions at the lower-current end of the rc-branch. As the rc-frequency is lowered, the chaotic region at the lowered-current end of the rc-branch may becomes wider, depending sensitively on the combination of system parameters. Examination of the metric entropy and maximal Kaplan–Yorke dimension shows that the dimensions of the chaotic attractors associated with the chaos do not plateau, as in the overdamped case, but surprisingly increase indefinitely with the number of junctions, indicating that the system is capable of truly high-dimensional chaos. The onset of the chaos along the rc-branch is found to occur via a two-frequency quasi-periodic route. Our results provided a guide for specific parameter combinations that could minimize the chaos, thereby making certain applications potentially more viable. T2 - Chaos, Solitons and Fractals T1 - Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions VL - 156 SP - 111865 DO - 10.1016/j.chaos.2022.111865 ER -
@article{ author = "Botha, André E. and Shukrinov, Yury M. and Tekić, Jasmina", year = "2022", abstract = "The appearance of chaos along the “charged” resonance circuit branch of the current-voltage characteristics is examined in a model of intrinsic Josephson junctions shunted by resistive, inductive and capacitive circuit elements. Detailed numerical simulations of the electric charge density, current-voltage characteristics and various chaos indicators, such as Lyapunov exponents and Poincaré sections are performed over a wide range of relevant system parameters. In mapping the parameter space, several distinctly different regions are found: some completely regular, while others are dominated by chaos, where the rc-frequency determines the appearance and properties of those regions. At higher values of the rc-frequency chaos appears at first over relatively narrow regions at the lower-current end of the rc-branch. As the rc-frequency is lowered, the chaotic region at the lowered-current end of the rc-branch may becomes wider, depending sensitively on the combination of system parameters. Examination of the metric entropy and maximal Kaplan–Yorke dimension shows that the dimensions of the chaotic attractors associated with the chaos do not plateau, as in the overdamped case, but surprisingly increase indefinitely with the number of junctions, indicating that the system is capable of truly high-dimensional chaos. The onset of the chaos along the rc-branch is found to occur via a two-frequency quasi-periodic route. Our results provided a guide for specific parameter combinations that could minimize the chaos, thereby making certain applications potentially more viable.", journal = "Chaos, Solitons and Fractals", title = "Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions", volume = "156", pages = "111865", doi = "10.1016/j.chaos.2022.111865" }
Botha, A. E., Shukrinov, Y. M.,& Tekić, J.. (2022). Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions. in Chaos, Solitons and Fractals, 156, 111865. https://doi.org/10.1016/j.chaos.2022.111865
Botha AE, Shukrinov YM, Tekić J. Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions. in Chaos, Solitons and Fractals. 2022;156:111865. doi:10.1016/j.chaos.2022.111865 .
Botha, André E., Shukrinov, Yury M., Tekić, Jasmina, "Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions" in Chaos, Solitons and Fractals, 156 (2022):111865, https://doi.org/10.1016/j.chaos.2022.111865 . .