×

Memristors and nonequilibrium stochastic multistable systems. (English) Zbl 1508.34072

MSC:

34H10 Chaos control for problems involving ordinary differential equations
34F05 Ordinary differential equations and systems with randomness
34H05 Control problems involving ordinary differential equations
94C05 Analytic circuit theory
94C60 Circuits in qualitative investigation and simulation of models

References:

[1] Sun, W.; Gao, B.; Chi, M.; Xia, Q., Understanding memristive switching via in situ characterization and device modeling, Nature Commun, 10, 3453 (2019)
[2] Caruso, A.; Gargano, M. E.; Valenti, D., Cyclic fluctuations, climatic changes and role of noise in planktonic foraminifera in the mediterranean sea, Fluct Noise Lett, 5, L349-55 (2005)
[3] Guarcello, C.; Valenti, D.; Spagnolo, B.; Pierro, V.; Filatrella, G., Anomalous transport effects on switching currents of graphene-based Josephson junctions, Nanotechnology, 28, Article 134001 pp. (2017)
[4] Guarcello, C.; Valenti, D.; Carollo, A., Stabilization effects of dichotomous noise on the lifetime of the superconducting state in a long Josephson junction, Entropy, 17, 2862-2875 (2015)
[5] Carollo, A.; Valenti, D.; Spagnolo, B., Geometry of quantum phase transitions, Phys Rep, 838, 1-72 (2020) · Zbl 1442.81031
[6] Agudov, N. V.; Safonov, A. V.; Krichigin, A. V., Nonstationary distributions and relaxation times in a stochastic model of memristor, J Stat Mech Theory Exp, 2020, 2, Article 024003 pp. (2020)
[7] Yakimov, A. V.; Filatov, D. O.; Gorshkov, O. N., Measurement of the activation energies of oxygen ion diffusion in yttria stabilized zirconia by flicker noise spectroscopy, Appl Phys Lett, 114, 25, Article 253506 pp. (2019)
[8] Ushakov, Y. V.; Dubkov, A. A.; Spagnolo, B., Spike train statistics for consonant and dissonant musical accords in a simple auditory sensory model, Phys Rev E, 81, Article 041911 pp. (2010)
[9] Carollo, A.; Spagnolo, B.; Dubkov, A. A.; Valenti, D., On quantumness in multi-parameter quantum estimation, J Stat Mech Theory Exp, 2019, Article 094010 pp. (2019) · Zbl 1457.82021
[10] Filatov, D. O.; Vrzheshch, D. V.; Tabakov, O. V., Noise-induced resistive switching in a memristor based on ZrO \({}_2(Y)/Ta{}_2 O{}_5\) stack, J Stat Mech Theory Exp, 2019, 12, Article 124026 pp. (2019)
[11] Lisowski, B.; Valenti, D.; Spagnolo, B., Stepping molecular motor amid Lévy white noise, Phys Rev E, 91, Article 042713 pp. (2015)
[12] Valenti, D.; Denaro, G.; La Cognata, A., Picophytoplankton dynamics in noisy marine environment, Acta Phys Polon B, 43, 1227-1240 (2012), https://www.actaphys.uj.edu.pl/R/43/5/1227/pdf
[13] Guarcello, C.; Valenti, D.; Spagnolo, B.; Pierro, V.; Filatrella, G., Josephson-based threshold detector for Lévy-distributed current fluctuations, Phys Rev Appl, 11, Article 044078 pp. (2019)
[14] Mikhaylov, A.; Pimashkin, A.; Pigareva, Y., Neurohybrid memristive CMOS-integrated systems for biosensors and neuroprosthetics, Front Neurosci, 14, 358 (2020)
[15] Ji-Ho, Ryu.; Kim, S., Artificial synaptic characteristics of TiO2/HfO2 memristor with self-rectifying switching for brain-inspired computing, Chaos Solitons Fractals, 140, Article 110236 pp. (2020)
[16] Dowling, V. J.; Slipko, V. A.; Pershin Yu, V., Probabilistic memristive networks: Application of a master equation to networks of binary ReRAM cells, Chaos Solitons Fractals, 142, Article 110385 pp. (2021)
[17] Shchanikov, S.; Zuev, A.; Bordanov, I., Designing a bidirectional, adaptive neural interface incorporating machine learning capabilities and memristor-enhanced hardware, Chaos Solitons Fractals, 142, Article 110504 pp. (2021)
[18] Morozov, A. Yu.; Abgaryan, K. K.; Reviznikov, D. L., Mathematical model of a neuromorphic network based on memristive elements, Chaos Solitons Fractals, 143, Article 110548 pp. (2021)
[19] Gerasimov, Y.; Zykov, E.; Prudnikov, N., On the organic memristive device resistive switching efficacy, Chaos Solitons Fractals, 143, Article 110549 pp. (2021)
[20] Karamani, R. E.; Fyrigos, I. A.; Tsakalos, K. A., Memristive learning cellular automata for edge detection, Chaos Solitons Fractals, 145, Article 110700 pp. (2021)
[21] Yang, J.; Ryu, H.; Kim, S., Resistive and synaptic properties modulation by electroforming polarity in CMOS-compatible cu/HfO2/Si device, Chaos Solitons Fractals, 145, Article 110783 pp. (2021)
[22] Gerasimova, S. A.; Lebedeva, A. V.; Fedulina, A., A neurohybrid memristive system for adaptive stimulation of hippocampus, Chaos Solitons Fractals, 146, Article 110804 pp. (2021)
[23] Parit, A. K.; Yadav, M. S.; Gupta, A. K., Design and modeling of niobium oxide-tantalum oxide based self-selective memristor for large-scale crossbar memory, Chaos Solitons Fractals, 145, Article 110818 pp. (2021)
[24] Wang, W.; Sun, Y.; Yuan, M.; Wang, Z., Projective synchronization of memristive multidirectional associative memory neural networks via self-triggered impulsive control and its application to image protection, Chaos Solitons Fractals, 150, Article 111110 pp. (2021)
[25] Alsuwian, T.; Kousarc, F.; Rasheed, U.; Imran, M., First principles investigation of physically conductive bridge filament formation of aluminum doped perovskite materials for neuromorphic memristive applications, Chaos Solitons Fractals, 150, Article 111111 pp. (2021)
[26] Ryu, H.; Kim, S., Implementation of a reservoir computing system using the short-term effects of Pt/HfO2/TaOx/TiN memristors with self-rectification, Chaos Solitons Fractals, 150, Article 111223 pp. (2021)
[27] Mahata, C.; Kim, S., Electrical and optical artificial synapses properties of TiN-nanoparticles incorporated HfAlO-alloy based memristor, Chaos Solitons Fractals, 153, Article 111518 pp. (2021)
[28] Dahye, Kim; Sunghun, Kim; Sungjun, Kim, Logic-in-memory application of CMOS compatible silicon nitride memristor, Chaos Solitons Fractals, 153, Article 111540 pp. (2021)
[29] Kim, T. H.; Kim, S.; Hong, K., Multilevel switching memristor by compliance current adjustment for off-chip training of neuromorphic system, Chaos Solitons Fractals, 153, Article 111587 pp. (2021)
[30] Choi, W. S.; Jang, J. T.; Kim, D., Influence of Al2O3 layer on InGaZnO memristor crossbar array for neuromorphic applications, Chaos Solitons Fractals, 156, Article 111813 pp. (2022)
[31] Lee, G. H.; Kim, T. H.; Song, M. S., Effect of weight overlap region on neuromorphic system with memristive synaptic devices, Chaos Solitons Fractals, 156, Article 111999 pp. (2022)
[32] Lee, G. H.; Kim, T. H.; Song, M. S., Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model, Chaos Solitons Fractals, 160, Article 112281 pp. (2022) · Zbl 1504.92028
[33] Surazhevsky, I. A.; Demin, V. A.; Ilyasov, A. I., Noise-assisted persistence and recovery of memory state in a memristive spiking neuromorphic network, Chaos Solitons Fractals, 146, Article 110890 pp. (2021)
[34] Xiu, C.; Zhou, R.; Liu, Y., New chaotic memristive cellular neural network and its application in secure communication system, Chaos Solitons Fractals, 141, Article 110316 pp. (2020)
[35] Korneeva, I. A.; Semenov, V. V.; Slepnev, A. V.; Vadivasova, T. E., Complete synchronization of chaos in systems with nonlinear inertial coupling, Chaos Solitons Fractals, 142, Article 110459 pp. (2021)
[36] Li, J. F.; Jahanshahi, H.; Kacar, On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control, Chaos Solitons Fractals, 145, Article 110681 pp. (2021) · Zbl 1498.94070
[37] Guseinov, D. V.; Matyushkin, I. V.; Chernyaev, N. V., Capacitive effects can make memristors chaotic, Chaos Solitons Fractals, 144, Article 110699 pp. (2021)
[38] Du, C.; Liu, L.; Zhang, Z.; Yu, S., Double memristors oscillator with hidden stacked attractors and its multi-transient and multistability analysis, Chaos Solitons Fractals, 148, Article 111023 pp. (2021)
[39] Setoudeh, F.; Sedigh, A. K., Nonlinear analysis and minimum L2-norm control in memcapacitor-based hyperchaotic system via online particle swarm optimization, Chaos Solitons Fractals, 151, Article 111214 pp. (2021) · Zbl 1498.34174
[40] Akgül, A.; Rajagopal, K.; Durdu, A., A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application, Chaos Solitons Fractals, 152, Article 111306 pp. (2021) · Zbl 1497.94209
[41] Setoudeh, F.; Dousti, M., Analysis and implementation of a meminductor-based colpitts sinusoidal oscillator, Chaos Solitons Fractals, 156, Article 111814 pp. (2022)
[42] Xiu, C.; Fang, J.; Liu, Y., Design and circuit implementation of a novel 5D memristive CNN hyperchaotic system, Chaos Solitons Fractals, 158, Article 112040 pp. (2022) · Zbl 1505.94130
[43] Taheri, A. G.; Setoudeh, F.; Tavakoli, M. B.; Feizi, E., Nonlinear analysis of memcapacitor-based hyperchaotic oscillator by using adaptive multi-step differential transform method, Chaos Solitons Fractals, 159, Article 112122 pp. (2022) · Zbl 1505.94131
[44] Huang, L.; Liu, J.; Xiang, J., A construction method of N-dimensional non-degenerate discrete memristive hyperchaotic map, Chaos Solitons Fractals, 160, Article 112248 pp. (2022) · Zbl 1504.94243
[45] Wang, Y.; Li, H.; Guan, Y.; Chen, M., Predefined-time chaos synchronization of memristor chaotic systems by using simplified control inputs, Chaos Solitons Fractals, 160, Article 112282 pp. (2022) · Zbl 1504.94245
[46] Xiu, C.; Fang, J.; Ma, X., Design and circuit implementations of multimemristive hyperchaotic system, Chaos Solitons Fractals, 161, Article 112409 pp. (2022) · Zbl 1504.94252
[47] Wojtusiak, A. M.; Balanov, A. G.; Savel’ev, S. E., Intermittent and metastable chaos in a memristive artificial neuron with inertia, Chaos Solitons Fractals, 142, Article 110383 pp. (2021)
[48] Maldonado, D.; Gonzalez, M. B.; Campabadal, F., Experimental evaluation of the dynamic route map in the reset transition of memristive ReRAMs, Chaos Solitons Fractals, 139, Article 110288 pp. (2020)
[49] Goldman, E. I.; Chucheva, G. V.; Afanasiev, M. S.; Kiselev, D. A., Changes in the structural and electrophysical properties of ba0.8sr0.2tio3 films with decreasing thickness, Chaos Solitons Fractals, 141, Article 110315 pp. (2020)
[50] Zhevnenko, D.; Meshchaninov, F.; Kozhevnikov, Simulation of memristor switching time series in response to spike-like signal, Chaos Solitons Fractals, 142, Article 110382 pp. (2020)
[51] Novodvorsky, O.; Parshina, L.; Khramova, O., Laser synthesis of thin MnxSi1-x films (x 0.5) on c- and r-Al2O3 substrates at different laser energy densities at the target, Chaos Solitons Fractals, 142, Article 110457 pp. (2021)
[52] Gismatulin, A. A.; Orlov, O. M.; Gritsenko, V. A.; Krasnikov, GYa, Charge transport mechanism in the metal-nitride-oxide-silicon forming-free memristor structure, Chaos Solitons Fractals, 142, Article 110458 pp. (2021)
[53] Parshina, L.; Novodvorsky, O.; Khramova, O., Laser synthesis of non-volatile memristor structures based on tantalum oxide thin films, Chaos Solitons Fractals, 142, Article 110496 pp. (2021)
[54] Piedjou, Komnang. A.S.; Guarcello, C.; Barone, C., Analysis of Josephson junctions switching time distributions for the detection of single microwave photons, Chaos Solitons Fractals, 142, Article 110496 pp. (2021)
[55] Andreeva, N. V.; Turalchuk, P. A.; Chigirev, D. A., Electron impact processes in voltage-controlled phase transition in vanadium dioxide thin films, Chaos Solitons Fractals, 142, Article 110503 pp. (2021)
[56] Panin, G. N., Optoelectronic dynamic memristor systems based on two-dimensional crystals, Chaos Solitons Fractals, 142, Article 110523 pp. (2021)
[57] Zotov, A. V.; Sirotkin, V. V.; AIIl’in, A. I., Multilevel memristive structures based on bismuth selenide microcrystals, Chaos Solitons Fractals, 143, Article 110542 pp. (2021)
[58] Yakimov, A. V.; Filatov, D. O.; Gorshkov, O. N., Influence of oxygen ion elementary diffusion jumps on the electron current through the conductive filament in yttria stabilized zirconia nanometer-sized memristor, Chaos Solitons Fractals, 148, Article 111014 pp. (2021)
[59] Kousar, F.; Rasheed, U.; Arif Khalil, RM., First principles investigation of oxygen vacancies filaments in polymorphic titania and their role in memristor’s applications, Chaos Solitons Fractals, 148, Article 111024 pp. (2021)
[60] Park, J.; Kim, T.-H.; Kim, S., Conduction mechanism effect on physical unclonable function using Al2O3/TiOX memristors, Chaos Solitons Fractals, 152, Article 111388 pp. (2021)
[61] Vasileiadis, N.; Loukas, P.; Karakolis, P., Multi-level resistance switching and random telegraph noise analysis of nitride based memristors, Chaos Solitons Fractals, 153, Article 111533 pp. (2021)
[62] Choi, W. S.; Kim, D.; Yang, T. J., Electrode-dependent electrical switching characteristics of InGaZnO memristor, Chaos Solitons Fractals, 158, Article 112106 pp. (2022)
[63] Parshina, L.; Novodvorsky, O.; Khramova, O., Tuning the resistive switching in tantalum oxide-based memristors by oxygen pressure during low temperature laser synthesis, Chaos Solitons Fractals, 161, Article 112384 pp. (2022)
[64] Kwon, O.; Kim, S.; Agudov, N., Non-volatile memory characteristics of a Ti/HfO2/Pt synaptic device with a crossbar array structure, Chaos Solitons Fractals, 162, Article 112480 pp. (2022)
[65] Alonso, F. J.; Maldonado, D.; Aguilera, A. M.; Roldán, J. B., Memristor variability and stochastic physical properties modeling from a multivariate time series approach, Chaos Solitons Fractals, 143, Article 110461 pp. (2021)
[66] Agudov, N. V.; Dubkov, A. A.; Safonov, A. V., Stochastic model of memristor based on the length of conductive region chaos, Solitons Fractals, 150, Article 111131 pp. (2021)
[67] Battistoni, S.; Sajapin, R.; Erokhin, V., Effects of noise sourcing on organic memristive devices, Chaos Solitons Fractals, 141, Article 110319 pp. (2020)
[68] Guarcello, C.; Bergeret, F. S., Thermal noise effects on the magnetization switching of a ferromagnetic anomalous Josephson junction, Chaos Solitons Fractals, 142, Article 110384 pp. (2020) · Zbl 1496.78005
[69] Ushakov, Y.; Balanov, A.; Savel’ev, S., Role of noise in spiking dynamics of diffusive memristor driven by heating-cooling cycles, Chaos Solitons Fractals, 145, Article 110803 pp. (2021)
[70] Guarcello, C., Lévy noise effects on Josephson junctions, Chaos Solitons Fractals, 153, Article 111531 pp. (2021) · Zbl 1498.82019
[71] Maldonado, D.; Aguilera-Pedregosa, C.; Vinuesa, G., An experimental and simulation study of the role of thermal effects on variability in TiN/Ti/HfO2/W resistive switching nonlinear devices, Chaos Solitons Fractals, 160, Article 112247 pp. (2022)
[72] Sweilam, N. H.; ElSakout, D. M.; Muttardi, M. M., Numerical solution for stochastic extended Fisher-Kolmogorov equation, Chaos Solitons Fractals, 151, Article 111213 pp. (2021) · Zbl 1498.35323
[73] Mikhaylov, A. N.; Guseinov, D. V.; Belov, A. I., Stochastic resonance in a metal-oxide memristive device, Chaos Solitons Fractals, 144, Article 110723 pp. (2021)
[74] Filatov, D. O.; Koryazhkina, M. N.; Novikov, A. S., Effect of internal noise on the relaxation time of an yttria stabilized zirconia-based memristor, Chaos Solitons Fractals, 156, Article 111810 pp. (2022)
[75] Koryazhkina, M. N.; Filatov, D. O.; Shishmakova, V. A., Resistive state relaxation time in \(Z r O_2 ( Y )\)-based memristive devices under the influence of external noise chaos, Solitons Fractals, 162, Article 112459 pp. (2022)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.