Для цитирования:
Корнеев И. А., Слепнев А. В., Семенов В. В., Вадивасова Т. Е. Взаимная синхронизация диссипативно связанных мемристивных генераторов // Известия Саратовского университета. Новая серия. Серия: Физика. 2020. Т. 20, вып. 3. С. 210-221. DOI: 10.18500/1817-3020-2020-20-3-210-221
Взаимная синхронизация диссипативно связанных мемристивных генераторов
Исследуются особенности полной и частотной синхронизации в системе двух диссипативно связанных мемристивных генераторов периодических колебаний. Демонстрируются особенности синхронизации, связанные с мемристивным характером взаимодействующих систем. Они заключаются в непрерывной зависимости границ синхронизации (как полной, так и частотной) от начальных условий, в частности от начального состояния мемристивных элементов двух генераторов. Исследуется влияние неидеального характера мемристивных элементов, приводящее к исчезновению чувствительности к начальным условиям.
- Chua L. O. Memristor – The missing circuit element // IEEE Transactions on Electron Devices. 1971. Vol. 18. P. 507–519. DOI: https://doi.org/10.1109/TCT.1971.1083337
- Strukov D. B., Snider G. S., Stewart D. R., Williams R. S. The missing memristor found // Nature. 2008. Vol. 453. P. 80–83. DOI: https://doi.org/10.1038/nature06932
- Berzina T., Smerieri A., Bernabó M., Pucci A., Ruggeri G., Erokhin V., Fontana M. Optimization of an organic memristor as an adaptive memory element // Journal of Applied Physics. 2009. Vol. 105, № 12. P. 124515. DOI: https://doi.org/10.1063/1.3153944
- Jeong H. Y., Kim J. Y., Kim J. W., Hwang J. O., Kim J. E., Lee J. Y., Choi S. Y. Graphene oxide thin films for flexible nonvolatile memory applications // Nano Letters. 2010. Vol. 10, № 11. P. 4381–4386. DOI: https://doi.org/10.1021/nl101902k
- Chang T., Jo S.-H., Kim K.-H., Sheridan P., Gaba S., Lu W. Synaptic behaviors and modeling of a metal oxide memristive device // Applied Physics A. 2011. Vol. 102. P. 857–863. DOI: https://doi.org/10.1007/s00339-011-6296-1
- Yang Y., Sheridan P., Lu W. Complementary resistive switching in tantalum oxide-based resistive memory devices // Applied Physics Letters. 2012. Vol. 100, № 20. P. 203–112. DOI: https://doi.org/10.1063/1.4719198
- Strachan J., Torrezan A., Miao F., Pickett M., Yang J., Yi W., Medeiros-Ribeiro G., Williams R. State dynamics and modeling of tantalum oxide memristors // IEEE Transactions on Electron Devices. 2013. Vol. 60, № 7. P. 2194–2202. DOI: https://doi.org/10.1109/TED.2013.2264476
- Liu G., Chen Y., Wang C., Zhang W., Li R.-W., Wang L. Polymer memristor for information storage and neuromorphic applications // Materials Horizons. 2014. Vol. 1, № 5. P. 489–506. DOI: https://doi.org/10.1039/C4MH00067F
- Erokhina S., Sorokin V., Erokhin V. Polyaniline-based organic memristive device fabricated bylayed-by-layed deposition technique // Electronic Materials Letters. 2015. Vol. 11, № 5. P. 801–805. DOI: https://doi.org/10.1007/s13391-015-4329-1
- Chua L. O., Kang S. M. Memristive devices and systems // Proceedings of the IEEE. 1976. Vol. 64, iss. 2. P. 209–223. DOI: https://doi.org/10.1109/PROC.1976.10092
- Volos C. K., Kyprianidis I. M., Stouboulos I. N., MunozPacheko J. M., Pham V. T. Synchronization of chaotic nonlinear circuits via a memristor // Journal of Engineering Science & Technology Review. 2015. Vol. 8, iss. 2. P. 44–51.
- Anishchenko V. S., Astakhov V. V., Neiman A. B., Vadivasova T. E., Schimansky-Geier L. Nonlinear dynamics of chaotic and stochastic systems: tutorial and modern developments. Springer Science & Business Media, 2007. 455 p.
- Messias M., Nespoli C., Botta V. A. Hopf bifurcation from lines of equilibria without parameters in memristor oscillators // International Journal of Bifurcation and Chaos. 2010. Vol. 20, № 2. P. 437–450. DOI: https://doi.org/10.1142/S0218127410025521
- Pirani V. A. B., Néspoli C., Messias M. Mathematical Analisys of a Third-order Memristor-based Chua’s Oscillator // Trends in Applied and Computational Mathematics. 2011. Vol. 12, № 2. P. 91–99. DOI: https://doi.org/10.5540/tema.2011.012.02.0091
- Riaza R. Manifolds of equilibria and bifurcations without parameters in memristive circuits // SIAM Journal on Applied Mathematics. 2012. Vol. 72, iss. 3. P. 877–896. DOI: https://doi.org/10.1137/100816559
- Fitch A. L., Yu D., Iu H. H. C., Sreeram V. Hyperchaos on memristor-based modified canonical Chua`s circuit // International Journal of Bifurcation and Chaos. 2012. Vol. 22, № 6. P. 1250133–1250138. DOI: https://doi.org/10.1142/S0218127412501337
- Li Q., Hu S., Tang S., Zeng G. Hyperchaos and horseshoe in a 4D memristive system with a line of equilibria and its implementation // International Journal of Circuit Theory and Applications. 2014. Vol. 42, iss. 11. P. 1172–1188. DOI: https://doi.org/10.1002/cta.1912
- Pham V. T., Volos C. K., Vaidyanathan S., Le T. P., Vu V. Y. A memristor-based hyperchaotic system with hidden attractors: dynamics, synchronization and circuital emulating // Journal of Engineering Science & Technology Review. 2015. Vol. 8, iss. 2. P. 205–214.
- Kengne J., Tabekoung Z. N., Namba V. K., Negou A. N. Periodicity, chaos and multiple attractors in a memristorbased Shinriki`s circuit // Chaos : An Interdisciplinary Journal of Nonlinear Science. 2015. Vol. 25. P. 103126. DOI: https://doi.org/10.1063/1.4934653
- Semenov V., Korneev I., Arinushkin P., Strelkova G., Vadivasova T., Anishchenko V. Numerical and experimental studies of attractors in memristor-based Chua’s oscillator with a line of equilibria. Noise-induced effects // The European Physical Journal Special Topics. 2015. Vol. 224, iss. 8. P. 1553–1561. DOI: https://doi.org/10.1140/epjst/e2015-02479-6
- Korneev I. A., Vadivasova T. E., Semenov V. V. Hard and soft excitation of oscillations in memristor-based oscillators with a line of equilibria // Nonlinear Dynamics. 2017. Vol. 89, iss. 4. P. 2829–2843. DOI: https://doi.org/10.1007/s11071-017-3628-5
- Korneev I. A., Semenov V. V. Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria // Chaos : An Interdisciplinary Journal of Nonlinear Science. 2017. Vol. 27, iss. 8. P. 081104(1–5). DOI: https://doi.org/10.1063/1.4996401
- Frasca M., Gambuzza L., Buscarino A., Fortuna L. Implementation of adaptive coupling through memristor // Physica Status Solidi C. 2014. Vol. 12, iss. 1–2. P. 206210. DOI: https://doi.org/10.1002/pssc.201400097
- Gambuzza L., Buscarino A., Fortuna L., Frasca M. Memristor-based adaptive coupling for consensus and synchronization // IEEE Transactions on Circuits and Systems I : Regular Papers. 2015. Vol. 62, iss. 4. P. 1175–1184. DOI: https://doi.org/10.1109/TCSI.2015.2395631
- Volos C. K., Pham V.-T., Vaidyanathan S., Kyprianidis I. M., Stouboulos I. N. The case of bidirectionally coupled nonlinear circuits via a memristor // Advances and Applications in Nonlinear Control Systems. 2016. Vol. 635. P. 317–350. DOI: https://doi.org/10.1007/978-3-319-30169-3_15
- Ignatov M., Hansen M., Ziegler M., Kohlstedt H. Synchronization of two memristively coupled van der Pol oscillators // Applied Physics Letters. 2016. Vol. 108, iss. 8. P. 84–105. DOI: https://doi.org/10.1063/1.4942832
- Корнеев И. А., Шабалина О. Г., Семенов В. В., Вадивасова Т. Е. Синхронизация автогенераторов, взаимодействующих через мемристор // Известия вузов. ПНД. 2018. Т. 26, № 2. C. 24–40. DOI: https://doi.org/10.18500/0869-6632-2018-26-2-24-40
- Xu F., Zhang J., Fang T., Huang Sh., Wang M. Synchronous dynamics in neural system coupled with memristive synapse // Nonlinear Dynamics. 2018. Vol. 92, № 3. P. 1395–1402. DOI: https://doi.org/10.1007/s11071-018-4134-0
- Yang X., Cao J., Yu W. Exponential synchronization of memristive Cohen–Grossberg neural networks with mixed delays // Cognitive Neurodynamics. 2014. Vol. 8, № 3. P. 239–249. DOI: https://doi.org/10.1007/s11571-013-9277-6
- Hu X., Duan Sh. Adaptive synchronization of memristorbased chaotic neural systems // Journal of Engineering Science and Technology Review. Rev. 2015. Vol. 8, iss. 2. P. 17–23.
- Yangand X., Ho D. W. C. Synchronization of delayed memristive neural networks : Robust analysis approach // IEEE Transactions on Cybernetics. 2016. Vol. 46, iss. 12, № 2. P. 3377–3387. DOI: https://doi.org/10.1109/TCYB.2015.2505903
- Zhao H., Li L., Peng H., Kurths J., Xiao J., Yang Y. Anti-synchronization for stochastic memristor-based neural networks with non-modeled dynamics via adaptive control approach // The European Physical Journal B. 2015. Vol. 88, iss. 5. P. 1–10. DOI: https://doi.org/10.1140/epjb/e2015-50798-9
- Wang C., Lv M., Alsaedi A., Ma J. Synchronization stability and pattern selection in a memristive neuronal network // Chaos : An Interdisciplinary Journal of Nonlinear Science. 2017. Vol. 27, iss. 11. P. 113108(1–8). DOI: https://doi.org/10.1063/1.5004234
- Zhang L., Yang Y., Wang F. Lag synchronization for fractional-order memristive neural networks via period intermittent control // Nonlinear Dynamics. 2017. Vol. 89. P. 367–381. DOI: https://doi.org/10.1007/s11071-017-3459-4
- Chen C., Li L., Peng H., Yang Y., Li T. Synchronization control of coupled memristor-based neural networks with mixed delays and stochastic perturbations // Neural Processing Letters. 2018. Vol. 47, № 2. P. 679–696. DOI: https://doi.org/10.1007/s11063-017-9675-6
- Fiedler B., Liebscher S., Alexander J. Generic Hopf bifurcation from lines of equilibria without parameters: I. theory // Journal of Differential Equations. 2000. Vol. 167, iss. 1. P. 16–35. DOI: https://doi.org/10.1006/jdeq.2000.3779
- Chen L., Li Ch., Huang T., Chen Y., Wen Sh., Qi J. A synapse memristor model with forgetting effect // Physics Letters A. 2013. Vol. 377, iss. 45–48. P. 3260–3265. DOI: https://doi.org/10.1016/j.physleta.2013.10.024
- Zhou E., Fang L., Yang B. A general method to describe forgetting effect of memristor // Physics Letters A. 2019. Vol. 383, iss. 10. P. 942–948. DOI: https://doi.org/10.1016/j.physleta.2018.12.028
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