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Cited by 151Advanced Memory and Neural ComputingNeural Networks and Reservoir ComputingNeural dynamics and brain function

Nonlinearity in memristors for neuromorphic dynamic systems

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Yang, Ke, Joshua Yang, J., Huang, Ru, Yang, Yuchao·2022·Small Science
DOI 10.1002/smsc.202100049PMC PMC11936018
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Abstract

As semiconductor technology enters the more than Moore era, there exists an apparent contradiction between the rapidly growing demands for data processing and the visible inefficiency rooted in traditional computing architecture. Neuromorphic systems hold great prospects in enabling a new generation of computing paradigm that can address this issue, which demands device components with rich dynamics and nonlinearity. Herein, the nonlinearity in memristive devices and their application in building neuromorphic dynamic systems are reviewed. The internal mechanisms that endow memristive devices with nonlinearity and rich dynamics are reviewed and subsequently the nonlinear spiking neurons that are implemented utilizing the physical processes in memristors are shown. Typical examples on neuromorphic dynamic systems based on nonlinear memristors are summarized, including memristive reservoir, memristive oscillatory neural network, and memristive chaotic computing. Finally, an outlook in the development of neuromorphic dynamic systems is given.

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  1. [1]Y. Lecun, Y. Bengio, G. Hinton, Nature 2015, 521, 436. 26017442
  2. [2]A. Vaswani, N. Shazeer, N. Parmar, J. Uszkoreit, L. Jones, A. N. Gomez, Ł. Kaiser, I. Polosukhin, Adv. Neural. Inf. Process. Syst., Long Beach CA 2017, 5998.
  3. [3]J. Devlin, M.‐W. Chang, K. Lee, K. Toutanova, arXiv preprint arXiv: 1810.04805, 2018. · arXiv
  4. [4]Z. Wang, H. Wu, G. W. Burr, C. Hwang, Kang L. Wang, Q. Xia, J. J. Yang, Nat. Rev. Mater. 2020, 5, 173.
  5. [5]R. Yuan, M. Ma, L. Xu, Z. Zhu, Q. Duan, T. Zhang, Y. Zhu, Y. Wang, R. Huang, Y. Yang, Sci. China Inf. Sci. 2020, 63, 202401.
  6. [6]M. Prezioso, F. Merrikh-Bayat, B. D. Hoskins, G. C. Adam, K. K. Likharev, D. B. Strukov, Nature 2015, 521, 61. 25951284
  7. [7]F. Alibart, E. Zamanidoost, D. B. Strukov, Nat. Commun. 2013, 4, 2072. 23797631
  8. [8]F. M. Bayat, M. Prezioso, B. Chakrabarti, H. Nili, I. Kataeva, D. B. Strukov, Nat. Commun. 2018, 9, 2331. 29899421 PMC5998062
  9. [9]Z. Wang, S. Joshi, S. Savel'ev, W. Song, R. Midya, Y. Li, M. Rao, P. Yan, S. Asapu, Y. Zhuo, H. Jiang, P. Lin, C. Li, J. H. Yoon, N. K. Upadhyay, J. Zhang, M. Hu, J. P. Strachan, M. Barnell, Q. Wu, H. Wu, R. S. Williams, Q. Xia, J. J. Yang, Nat. Electron. 2018, 1, 137.
  10. [10]Z. Wang, C. Li, P. Lin, M. Rao, Y. Nie, W. Song, Q. Qiu, Y. Li, P. Yan, J. P. Strachan, N. Ge, N. McDonald, Q. Wu, M. Hu, H. Wu, R. S. Williams, Q. Xia, J. J. Yang, Nat. Mach. Intell. 2019, 1, 434.
  11. [11]C. Li, Z. Wang, M. Rao, D. Belkin, W. Song, H. Jiang, P. Yan, Y. Li, P. Lin, M. Hu, N. Ge, J. P. Strachan, M. Barnell, Q. Wu, R. S. Williams, J. J. Yang, Q. Xia, Nat. Mach. Intell. 2019, 1, 49.
  12. [12]Y. Zhou, H. Wu, B. Gao, W. Wu, Y. Xi, P. Yao, S. Zhang, Q. Zhang, H. Qian, Adv. Funct. Mater. 2019, 29, 1900155.
  13. [13]Y. Jeong, J. Lee, J. Moon, J. H. Shin, W. D. Lu, Nano Lett. 2018, 18, 4447. 29879355
  14. [14]P. M. Sheridan, F. Cai, C. Du, W. Ma, Z. Zhang, W. D. Lu, Nat. Nanotechnol. 2017, 12, 784. 28530717
  15. [15]M. A. Zidan, Y. Jeong, J. Lee, B. Chen, S. Huang, M. J. Kushner, W. D. Lu, Nat. Electron. 2018, 1, 411.
  16. [16]Z. Sun, G. Pedretti, E. Ambrosi, A. Bricalli, P. Wang, D. Ielmini, Proc. Natl. Acad. Sci. U.S.A. 2019, 116, 4123. 30782810 PMC6410822
  17. [17]S. H. Strogatz, Nonlinear Dynamics and Chaos with Student Solutions Manual: With Applications to Physics, Biology, Chemistry, and Engineering, CRC Press, Boca Raton, FL 2018.
  18. [18]L. Chua, Nanotechnology 2013, 24, 383001. 23999613
  19. [19]L. Chua, V. Sbitnev, H. Kim, Int. J. Bifurcat. Chaos 2012, 22, 1250098.
  20. [20]S. Kumar, R. S. Williams, Z. Wang, Nature 2020, 585, 518. 32968256
  21. [21]Q. Duan, Z. Jing, X. Zou, Y. Wang, K. Yang, T. Zhang, S. Wu, R. Huang, Y. Yang, Nat. Commun. 2020, 11, 3399. 32636385 PMC7341810
  22. [22]K. Mainzer, L. Chua, Local Activity Principle: The Cause of Complexity and Symmetry Breaking, Imperial College Press, London 2013.
  23. [23]A. Ascoli, A. S. Demirkol, R. Tetzlaff, S. Slesazeck, T. Mikolajick, L. Chua, Front. Neurosci. 2021, 15, 233. PMC8095322 33958985
  24. [24]S. Kumar, J. P. Strachan, R. S. Williams, Nature 2017, 548, 318. 28792931
  25. [25]Y. Yang, P. Gao, S. Gaba, T. Chang, X. Pan, W. D. Lu, Nat. Commun. 2012, 3, 732. 22415823
  26. [26]Y. Yang, P. Gao, L. Li, X. Pan, S. Tappertzhofen, S. Choi, R. Waser, I. Valov, W. D. Lu, Nat. Commun. 2014, 5, 4232. 24953477
  27. [27]S. H. Jo, T. Chang, I. Ebong, B. B. Bhadviya, P. Mazumder, W. D. Lu, Nano Lett. 2010, 10, 1297. 20192230
  28. [28]R. Waser, M. Aono, Nat. Mater. 2007, 6, 833. 17972938
  29. [29]L. Chua, IEEE Trans. Circuit Theory 1971, 18, 507.
  30. [30]L. Chua, Proc. IEEE 2012, 100, 1920.
  31. [31]D. B. Strukov, G. S. Snider, D. R. Stewart, R. S. Williams, Nature 2008, 453, 80. 18451858
  32. [32]L. O. Chua, Appl. Phys. A: Mater. Sci. Process. 2011, 102, 765.
  33. [33]J. Kim, Y. V. Pershin, M. Yin, T. Datta, M. D. Ventra, Adv. Electron. Mater. 2020, 6, 2000010.
  34. [34]L. Chua, S. M. Kang, Proc. IEEE 1976, 64, 209.
  35. [35]L. Chua, Radioengineering 2015, 24, 319.
  36. [36]R. Waser, R. Dittmann, G. Staikov, K. ttt, Adv. Mater. 2009, 21, 2632. 36751064
  37. [37]A. Sawa, Mater. Today 2018, 11, 28.
  38. [38]J. J. Yang, D. B. Strukov, D. R. Stewart, Nat. Nanotechnol. 2013, 8, 13. 23269430
  39. [39]R. Waser, R. Dittmann, G. Staikov, K. Szot, Adv. Mater. 2009, 21, 2632. 36751064
  40. [40]Y. Yang, R. Huang, Nat. Electron. 2018, 1, 274.
  41. [41]Y. Yang, X. Zhang, L. Qin, Q. Zeng, X. Qiu, R. Huang, Nat. Commun. 2017, 8, 15173. 28469257 PMC5418605
  42. [42]J. P. Strachan, A. C. Torrezan, F. Miao, M. D. Pickett, J. J. Yang, W. Yi, G. Medeiros-Ribeiro, R. S. Williams, IEEE Trans. Electron Devices 2013, 20, 2194.
  43. [43]S. Park, S. Jung, M. Siddik, M. Jo, J. Lee, J. Park, W. Lee, S. Kim, S. M. Sadaf, X. Liu, H. Huang, Phys. Status Solidi RRL 2011, 5, 409.
  44. [44]K. Baek, S. Park, J. Park, Y. M. Kim, H. Hwang, S. H. Oh, Nanoscale 2017, 9, 582. 27886327
  45. [45]V. K. Sangwan, D. Jariwala, I. S. Kim, K.‐S. Chen, T. J. Marks, L. J. Lauhon, M. C. Hersam, Nat. Nanotechnol. 2015, 10, 403. 25849785
  46. [46]A. Azizi, X. Zou, P. Ercius, Z. Zhang, A. Laura Elıas, N. Perea-Lopez, G. Stone, M. Terrones, B. I. Yakobson, N. Alem, Nat. Commun. 2014, 5, 4867. 25202857
  47. [47]A. A. Bessonov, M. N. Kirikova, D. I. Petukhov, M. Allen, T. Ryheanen, M. J. A. Bailey, Nat. Mater. 2015, 14, 199. 25384168
  48. [48]J. Zhu, T. Zhang, Y. Yang, R. Huang, Appl. Phys. Rev. 2020, 7, 011312.
  49. [49]Z. Wang, M. Yin, T. Zhang, Y. Cai, Y. Wang, Y. Yang, R. Huang, Nanoscale 2016, 8, 14015. 27143476
  50. [50]S. Menzel, M. Waters, A. Marchewka, U. Böttger, R. Dittmann, R. Waser, Adv. Funct. Mater. 2011, 21, 4487.
  51. [51]K. Fleck, C. La Torre, N. Aslam, S. Hoffmann-Eifert, U. Böttger, S. Menzel, Phys. Rev. Appl. 2016, 6, 064015.
  52. [52]I. Valov, M. N. Kozicki, J. Phys. D 2013, 46, 074005.
  53. [53]Z. Wang, S. Joshi, S. E. Savel'ev, H. Jiang, R. Midya, P. Lin, M. Hu, N. Ge, J. P. Strachan, Z. Li, Q. Wu, M. Barnell, G. Li, H. L. Xin, R. S. Williams, Q. Xia, J. J. Yang, Nat. Mater. 2017, 16, 101. 27669052
  54. [54]S. Raoux, G. W. Burr, M. J. Breitwisch, C. T. Rettner, Y.‐C. Chen, R. M. Shelby, M. Salinga, D. Krebs, S.‐H. Chen, H.‐L. Lung, C. H. Lam, IBM J. Res. Dev. 2008, 52, 465.
  55. [55]G. W. Burr, M. J. Breitwisch, M. Franceschini, D. Garetto, K. Gopalakrishnan, B. Jackson, B. Kurdi, C. Lam, L. A. Lastras, A. Padilla, B. Rajendran, S. Raoux, R. S. Shenoy, J. Vac. Sci. Technol. B 2010, 28, 223.
  56. [56]G. W. Burr, M. J. Brightsky, A. Sebastian, H.‐Y. Cheng, J.‐Y. Wu, S. Kim, N. E. Sosa, N. Papandreou, H.‐L. Lung, H. Pozidis, E. Eleftheriou, C. H. Lam, IEEE J. Emerg. Sel. Top. Circuits Syst. 2016, 6, 146.
  57. [57]M. Wuttig, N. Yamada, Nat. Mater. 2007, 6, 824. 17972937
  58. [58]Y. Wang, K.‐M. Kang, M. Kim, H.‐S. Lee, R. Waser, D. Wouters, R. Dittmann, J. J. Yang, H.‐H. Park, Mater. Today 2019, 28, 63.
  59. [59]Z. Shao, X. Cao, H. Luo, P. Jin, NPG Asia Mater. 2018, 10, 581.
  60. [60]Y. Fang, Z. Wang, C. Cheng, Z. Yu, T. Zhang, Y. Yang, Y. Cai, R. Huang, Sci. China Inf. Sci. 2019, 62, 229401.
  61. [61]I. Messaris, R. Tetzlaff, A. Ascoli, R. S. Williams, S. Kumar, L. Chua, in IEEE Int. Symp. Circuits and Systems (ISCAS), IEEE, Piscataway, NJ 2020, pp. 329- 332.
  62. [62]G. A. Gibson, S. Musunuru, J. Zhang, K. Vandenberghe, J. Lee, C.‐C. Hsieh, W. Jackson, Y. Jeon, D. Henze, Z. Li, R. S. Williams, Appl. Phys. Lett. 2016, 108, 023505.
  63. [63]J. Grollier, D. Querlioz, M. D. Stiles, Proc. IEEE 2016, 104, 2024. PMC5117478 27881881
  64. [64]J. Grollier, D. Querlioz, K. Y. Camsari, K. Everschor-Sitte, S. Fukami, M. D. Stiles, Nat. Electron. 2020, 3, 360. PMC7754689 33367204
  65. [65]X. Wang, Y. Chen, H. Xi, H. Li, D. Dimitrov, IEEE Electron Device Lett. 2009, 30, 294.
  66. [66]M. Romera, P. Talatchian, S. Tsunegi, F. A. Araujo, V. Cros, P. Bortolotti, J. Trastoy, K. Yakushiji, A. Fukushima, H. Kubota, S. Yuasa, M. Ernoult, D. Vodenicarevic, T. Hirtzlin, N. Locatelli, D. Querlioz, J. Grollier, Nature 2018, 563, 230. 30374193
  67. [67]M. Riou, F. A. Araujo, J. Torrejon, S. Tsunegi, G. Khalsa, D. Querlioz, P. Bortolotti, V. Cros, K. Yakushiji, A. Fukushima, H. Kubota, S. Yuasa, M. D. Stile, J. Grollier, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2017, pp. 36.3.1– 36.3.4. PMC6508600 31080272
  68. [68]J. Torrejon, M. Riou, F. A. Araujo, S. Tsunegi, G. Khalsa, D. Querlioz, P. Bortolotti, V. Cros, K. Yakushiji, A. Fukushima, H. Kubota, S. Yuasa, M. D. Stiles, J. Grollier, Nature 2017, 547, 428. 28748930 PMC5575904
  69. [69]L. W. Martin, A. M. Rappe, Nat. Rev. Mater. 2016, 2, 16087.
  70. [70]A. Chanthbouala, V. Garcia, R. O. Cherifi, K. Bouzehouane, S. Fusil, X. Moya, S. Xavier, H. Yamada, C. Deranlot, N. D. Mathur, M. Bibes, A. Barthélémy, J. Grollier, Nat. Mater. 2012, 11, 860. 22983431
  71. [71]A. I. Khan, A. Keshavarzi, S. Datta, Nat. Electron. 2020, 3, 588.
  72. [72]C.‐S. Yang, D.‐S. Shang, N. Liu, E. J. Fuller, S. Agrawal, A. A. Talin, Y.‐Q. Li, B.‐G. Shen, Y. Sun, Adv. Funct. Mater. 2018, 28, 1804170.
  73. [73]J. Zhu, Y. Yang, R. Jia, Z. Liang, W. Zhu, Z. Rehman, L. Bao, X. Zhang, Y. Cai, L. Song, R. Huang, Adv. Mater. 2018, 30, 21. 29665150
  74. [74]X. Gu, S. S. Iyer, IEEE Electron Device Lett. 2017, 38, 1204.
  75. [75]T.‐J. Chiu, Y.‐C. King, J. Gong, Y.‐H. Tsai, H. Chen, IEEE Electron Device Lett. 2011, 32, 1293.
  76. [76]S. Kim, C. Du, P. Sheridan, W. Ma, S.‐H. Choi, W. D. Lu, Nano Lett. 2015, 15, 2203. 25710872
  77. [77]S. Kim, H. D. Kim, S. J. Choi, Small 2016, 24, 3320. 27152649
  78. [78]M. Abdelouahab, R. Lozi, L. Chua, Int. J. Bifurcation Chaos 2014, 24, 1430023.
  79. [79]Y. Pu, Y. Xiao, IEEE Access 2016, 4, 1872.
  80. [80]E. Wlaźlak, M. Marzec, P. Zawal, K. Szaciłowski, ACS Appl. Mater. Interfaces 2019, 11, 17009. 30986023
  81. [81]T. Mazur, P. Zawal, K. Szaciłowski, Nanoscale The Royal Society of Chemistry Burlington House, Piccadilly, London, 2019, 11, 1080. 30574642
  82. [82]E. Wlaźlak, P. Zawal, K. Szaciłowski, ACS Appl. Electron. Mater. 2020, 2, 329. 30986023
  83. [84]E. R. Kandel, J. H. Schwartz, T. M. Jessell, S. A. Siegelbaum, A. J. Hudspeth, Principles of Neural Science 5th ed., McGraw-Hill, New York 2013.
  84. [85]A. L. Hodgkin, A. F. Huxley, J. Physiol. 1952, 117, 500. 12991237 PMC1392413
  85. [86]M. D. Pickett, G. Medeiros-Ribeiro, R. S. Williams, Nat. Mater. 2012, 12, 114. 23241533
  86. [87]W. Yi, K. K. Tsang, S. K. Lam, X. Bai, J. A. Crowell, E. A. Flores, Nat. Commun. 2018, 9, 4661. 30405124 PMC6220189
  87. [88]T. Zhang, K. Yang, X. Xu, Y. Cai, Y. Yang, R. Huang, Phys. Status Solidi Rapid Res. Lett. 2019, 13, 1900029.
  88. [89]J. Lin, Annadi, S. Sonde, C. Chen, L. Stan, K. V. L. V. Achari, S. Ramanathan, S. Guha, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2016, pp. 34.5.1– 34.5.4.
  89. [90]C. Chen, M. Yang, S. Liu, T. Liu, K. Zhu, Y. Zhao, H. Wang, Q. Huang, R. Huang, 2019 IEEE Symposium on VLSI Technology, IEEE, Piscataway, NJ 2019, pp. T136– T137.
  90. [91]J. Luo, L. Yu, T. Liu, M. Yang, Z. Fu, Z. Liang, L. Chen, C. Chen, S. Liu, S. Wu, Q. Huang, R. Huang, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2019, pp. 6.4. 1– 6.4.4.
  91. [92]Z. Wang, B. Crafton, J. Gomez, R. Xu, A. Luo, Z. Krivokapic, L. Martin, S. Datta, A. Raychowdhury, A. I. Khan, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2018, pp. 13.3.1– 13.3.4.
  92. [93]T. Tuma, A. Pantazi, M. L. Gallo, A. Sebastian, E. Eleftheriou, Nat. Nanotechnol. 2016, 11, 693. 27183057
  93. [94]L. Bao, J. Zhu, Z. Yu, R. Jia, Q. Cai, Z. Wang, L. Xu, Y. Wu, Y. Yang, Y. Cai, R. Huang, ACS Appl. Mater. Interfaces 2019, 11, 41482. 31597432
  94. [95]X. Chen, W. Kang, D. Zhu, X. Zhang, N. Lei, Y. Zhan, Y. Zhou, W. Zhao, Nanoscale 2018, 10, 6139. 29557440
  95. [96]A. N. Burkitt, Biol Cybern. 2006, 95, 1. 16622699
  96. [97]C. Mead, Analog VLSI and Neural Systems, Addison-Wesley, Reading, MA 1989.
  97. [98]G. Indiveri, Neural Inf. Process. Lett. Rev. 2007, 11, 135.
  98. [99]A. Joubert, B. Belhadj, O. Temam, R. Héliot, in The 2012 Int. Joint Conf. on Neural Networks (IJCNN), 2012, pp. 1– 5.
  99. [100]L. C. Mesa, A. A. Jimenez, T. S. Gotarredona, B. L. BArranco, in IEEE Int. Symp. Circuits and Systems, IEEE, Piscataway, NJ 2008, p. 652.
  100. [101]A. P. Vaz, S. K. Inati, N. Brunel, K. A. Zaghloul, Science 2019, 363, 975. 30819961 PMC6478623
  101. [102]A. Schnitzler, J. Gross, Nat. Rev. Neurosci. 2005, 6, 285. 15803160
  102. [103]J. A. Cardin, M. Carlén, K. s. Meleti s, U. Knoblich, F. Zhang, K. Deisseroth, L.‐H. Tsai, C. I. Moore, Nature 2009, 459, 663. 19396156 PMC3655711
  103. [104]L. Gao, P.‐Y. Chen, S. Yu, Appl. Phys. Lett. 2017, 111, 103503.
  104. [105]R. Midya, Z. Wang, S. Asapu, S. Joshi, Y. Li, Y. Zhuo, W. Song, H. Jiang, N. I Upadhay, M. Rao, P. Lin, C. Li, Q. Xia, J. J. Yang, Adv. Electron. Mater. 2019, 5, 1900060.
  105. [106]X. Zhang, Y. Zhuo, Q. Luo, Z. Wu, R. Midya, Z. Wang, W. Song, R. Wang, N. K. Upadhyay, Y. Fang, F. Kiani, M. Rao, Y. Yang, Q. Xia, Q. Liu, M. Liu, J. J. Yang, Nat. Commun. 2020, 11, 51. 31896758 PMC6940364
  106. [107]E. M. Izhikevich, Dynamical Systems in Neuroscience, The MIT Press, Cambridge, MA 2007.
  107. [108]P. Poirazi, A. Papoutsi, Nat. Rev. Neurosci. 2020, 21, 303. 32393820
  108. [109]J. J. Moore, P. M. Ravassard, D. Ho, L. Acharya, A. L. Kees, C. Vuong, M. R. Mehta, Science 2017, 355, 6331. 28280248
  109. [110]N. Takahashi, T. G. Oertner, P. Hegemann, M. E. Larkum, Science 2016, 354, 1587. 28008068
  110. [111]H. Agmon-Snir, C. E. Carr, J. Rinzel, Nature 1998, 393, 268. 9607764
  111. [112]J. C. Magee, Nat. Rev. Neurosci. 2000, 1, 181. 11257906
  112. [113]T. Branco, B. A. Clark, M. Häusser, Science 2010, 329, 1671. 20705816 PMC6354899
  113. [114]S. D. Antic, W.‐L. Zhou, A. R. Moore, S. M. Short, K. D. Ikonomu, J. Neurosci. Res. 2010, 88, 2991. 20544831 PMC5643072
  114. [115]M. Lavzin, S. Rapoport, A. Polsky, L. Garion, J. Schiller, Nature 2012, 490, 397. 22940864
  115. [116]X. Li, J. Tang, Q. Zhang, B. Gao, J. Joshua Yang, S. Song, W. Wu, W. Zhang, P. Yao, N. Deng, L. Deng, Y. Xie, H. Qian, H. Wu, Nat. Nanotechnol. 2020, 15, 776. 32601451
  116. [117]C. J. Wan, L. Q. Zhu, Y. H. Liu, P. Feng, Z. P. Liu, H. L. Cao, P. Xiao, Y. Shi, Q. Wan, Adv. Mater. 2016, 28, 3557. 26972820
  117. [118]C. J. Wan, L. Q. Zhu, J. M. Zhou, Y. Shi, Q. Wan, Nanoscale 2014, 6, 4491. 24643320
  118. [119]Y. He, S. Nie, R. Liu, S. Jiang, Y. Shi, Q. Wan, Adv. Mater. 2019, 31, 1900903. 30957923
  119. [120]J. Pei, L. Deng, S. Song, M. Zhao, Y. Zhang, S. Wu, G. Wang, Z. Zou, Z. Wu, W. He, Nature 2019, 572, 106. 31367028
  120. [121]D. Verstraeten, B. Schrauwen, M. D'Haene, D. Stroobandt, Neural Netw. 2007, 20, 391. 17517492
  121. [122]L. Appeltant, M.C. Soriano, G. Van der Sande, J. Danckaert, S. Massar, J. Dambre, B. Schrauwen, C.R. Mirasso, I. Fischer, Nat. Commun. 2011, 2, 468. 21915110 PMC3195233
  122. [123]C. Du, W. Ma, T. Chang, P. Sheridan, W. D. Lu, Adv. Funct. Mater. Wiley-VCH, Hoboken, New Jersey, 2015, 25, 4290.
  123. [124]T. Ohno, T. Hasegawa, T. Tsuruoka, K. Terabe, J. K. Gimzewski, M. Aono, Nat. Mater. 2011, 10, 591. 21706012
  124. [125]T. Chang, S.‐H. Jo, W. Lu, ACS Nano 2011, 5, 7669. 21861506
  125. [126]S. Kim, C. Du, P. Sheridan, W. Ma, S. Choi, W. D. Lu, Nano Lett. 2015, 15, 2203. 25710872
  126. [127]Y. Zhong, J. Tang, X. Li, B. Gao, H. Qian, H. Wu, Nat. Commun. 2021, 12, 408. 33462233 PMC7814066
  127. [128]G. W. Burr, M. J. Brightsky, A. Sebastian, H.‐Y. Cheng, J.‐Y. Wu, S. Kim, N. E. Sosa, N. Papandreou, H.‐L. Lung, H. Pozidis, E. Eleftheriou, C. H. Lam, IEEE J. Emerg. Sel. Top. Circuits Syst. 2016, 6, 146.
  128. [129]A. Slavin, V. Tiberkevich, IEEE Trans. Magn. 2009, 45, 1875.
  129. [130]J. Moon, W. Ma, J. H. Shin, F. Cai, C. Du, S. H. Lee, W. D. Lu, Nat. Electron. 2019, 2, 480.
  130. [131]R. Midya, Z. Wang, S. Asapu, X. Zhang, M. Rao, W. Song, Y. Zhuo, N. Upadhyay, Q. Xia, J. J. Yang, Adv. Intell. Syst. 2019, 1, 1900084.
  131. [132]G. Tanaka, T. Yamane, J. B. Héroux, R. Nakane, N. Kanazawa, S. Takeda, H. Numata, D. Nakano, A. Hirose, Neural Networks 2019, 115, 100. 30981085
  132. [133]K. Nakajima, Jpn. J. Appl. Phys. 2020, 59, 060501.
  133. [134]M. C. Soriano, S. Ortin, L. Keuninckx, L. Appeltant, J. Danckaert, L. Pesquera, G. van der Sande, IEEE Trans. Neural Networks Learn. Syst. 2015, 26, 388. 25608295
  134. [135]L. Appeltant, G. Sande, J. Danckaert, I. Fischer, Sci. Rep. 2014, 4, 3629. 24406849 PMC3887384
  135. [136]P. Antonik, Application of FPGA to Real-Time Machine Learning: Hard- ware Reservoir Computers and Software Image Processing, Springer, Melville, NY, 2018.
  136. [137]P. Antonik, A. Smerieri, F. Duport, M. Haelterman, S. Massar, in 24th Belgian-Dutch Conf. Machine Learning, 2015.
  137. [138]P. Petre, J. Cruz-Albrecht, in IEEE Int. Conf. on Rebooting Computing (ICRC), IEEE, Piscataway, NJ 2016, pp. 1– 4.
  138. [139]M. Romera, P. Talatchian, S. Tsunegi, F. A. Araujo, V. Cros, P. Bortolotti, J. Trastoy, K. Yakushiji, A. Fukushima, H. Kubota, S. Yuasa, M. Ernoult, D. Vodenicarevic, T. Hirtzlin, N. Locatelli, D. Querlioz, J. Grollier, Nature 2018, 563, 230. 30374193
  139. [140]E. Corti, A. Khanna, K. Niang, J. Robertson, K. E. Moselund, B. Gotsmann, S. Datta, S. Karg, IEEE Electron Device Lett. 2020, 42, 629.
  140. [141]S. Dutta, A. Khanna, W. Chakraborty, J. Gomez, S. Joshi, S. Datta, in 2019 Symp. VLSI Technology, IEEE, Piscataway, NJ 2019, pp. T128- T129.
  141. [142]S. Dutta, A. Khanna, J. Gomez, K. Ni, Z. Toroczkai, S. Datta, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2019, pp. 37.8.1– 37.8.4.
  142. [143]A. Parihar, N. Shukla, M. Jerry, S. Datta, A. Raychowdhury, Sci. Rep. 2017, 7, 911. 28424457 PMC5430425
  143. [144]A. Parihar, N. Shukla, S. Datta, A. Raychowdhury, J. Appl. Phys. 2015, 117, 054902.
  144. [145]J. Liang, R. G. D. Jeyasingh, H. Chen, H.‐P. Wong, in 2011 Symp. on VLSI Technology - Digest of Technical Papers, 2011, pp. 100– 108.
  145. [146]D. A. McCrea, I. A. Rybak, Brain Res. Rev. 2008, 57, 134. 17936363 PMC2214837
  146. [147]I. Steuer, P. A. Guertin, Rev. Neurosci. 2019, 30, 107. 30543520
  147. [148]C. A. Cuellar, J. A. Tapia, V. Juárez, J. Quevedo, P. Linares, L. Martínez, E. Manjarrez, J. Neurosci. 2009, 29, 798. 19158305 PMC6665157
  148. [149]S. Dutta, A. Parihar, A. Khanna, J. Gomez, W. Chakraborty, M. Jerry, B. Grisafe, A. Raychowdhury, S. Datta, Nat. Commun. 2019, 10, 3299. 31341167 PMC6656780
  149. [150]J. J. Hopfield, Proc. Natl Acad. Sci. USA 1984, 81, 3088.6587342
  150. [151]N. Shukla, A. Parihar, M. Cotter, M. Barth, X. Li, N. Chandramoorthy, H. Paik, D. G. Schlom, V. Narayana, A. Raychowdhury, S. Datta, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2014, pp. 28.7.1– 28.7.4.
  151. [152]N. Shukla, W.‐Y. Tsai, M. Jerry, M. Barth, V. Narayanan, S. Datta, in 2016 Symp. VLSI Technology, IEEE, Piscataway, NJ 2016, pp. 1- 2.
  152. [153]J. H. B. Wijekoon, P. Dudek, Neural Networks 2008, 21, 524. 18262751
  153. [154]M. Gajek, J. J. Nowak, J. Z. Sun, P. L. Trouilloud, E. J. O'Sullivan, D. W. Abraham, M. C. Gaidis, G. Hu, S. Brown, Y. Zhu, R. P. Robertazzi, W. J. Gallagher, D. C. Worledge, Appl. Phys. Lett. 2012, 100, 132408.
  154. [155]L. Chen, K. Aihara, Neural Netw. 1995, 8, 915.
  155. [156]K. Mainzer, L. Chua, Local Activity Principle: The Cause of Complexity and Symmetry Breaking, Imperial College Press, London 2013.
  156. [157]L. Chua, Int. J. Bifurc. Chaos 2005, 15, 3435.
  157. [158]M. Itoh, LO. Chua, Int. J. Bifurcat. Chaos 2008, 18, 3183.
  158. [159]B. Bao, Z. Liu, J. Xu, Electron Lett 2010, 46, 228.
  159. [160]J. Sun, Y. Shen, Q. Yin, C.J. Xu, Chaos 2013, 23, 013140. 23556977
  160. [161]C. Li, W. J.‐C. Thio, H. H.‐C. Iu, T. Lu, IEEE Access IEEE, Piscataway, NJ, 2018, 6, 12945.
  161. [162]B. Bao, Z. Liu, J. Xu, Chin. Phys. B 2010, 19, 030510.
  162. [163]B. Muthuswamy, L.O. Chua, Int. J. Bif. Chaos 2010, 20, 1567.
  163. [164]J. Sun, Y. Shen, Optik 2016, 127, 9192.
  164. [165]S. Kirkpatrick, C. D. Gelatt Jr., M. P. Vecchi, Science 1983, 220, 671. 17813860
  165. [166]J. H. Shin, Y. J. Jeong, M. A. Zidan, Q. Wang, W. D. Lu, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2018, pp. 3.3.1– 3.3.4.
  166. [167]F. Cai, S. Kumar, T. V. Vaerenbergh, X. Sheng, R. Liu, C. Li, Z. Liu, M. Foltin, S. Yu, Q. Xia, J. J. Yang, R. Beausoleil, W. D. Lu, J. P. Strachan, Nat. Electron. 2020, 3, 409.
  167. [168]M. R. Mahmoodi, M. Prezioso, D. B. Strukov, Nat. Commun. 2019, 10, 5113. 31704925 PMC6841978
  168. [169]M. R. Mahmoodi, H. Kim, Z. Fahimi, H. Nili, L. Sedov, V. Polishchuk, D. B. Strukov, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2019, 14.7.1– 14.7.4.
  169. [170]K. Yang, Q. Duan, Y. Wang, T. Zhang, Y. Yang, R. Huang, Sci. Adv. 2020, 6, eaba9901. 32851168 PMC7428342
  170. [171]Z. Michalewicz, D. B. Fogel, How to Solve It: Modern Heuristics, Springer, Berlin 2013.
  171. [172]W. Maass, T. Natschläger, H. Markram, Neural Comput. 2002, 14, 2531. 12433288
  172. [173]A. Rodan, P. Tino, Neural Netw. 2010, 22, 131. 21075721
  173. [174]H. Jaeger, H. Haas, Science 2004, 304, 5667. 15064413
  174. [175]D. Verstraeten, B. Schrauwen, M. d'Haene, D. Stroobandt, Neural Netw. 2007, 20, 391. 17517492
  175. [176]D. Sussillo, L. F. Abbott, Neuron 2009, 63, 544. 19709635 PMC2756108
  176. [177]N. Bertschinger, T. Natschläger, Neural Comput. 2004, 16, 1413. 15165396
  177. [178]R. Legenstein, W. Maass, Neural Netw. 2007, 20, 323. 17517489
  178. [179]X. S. Gao, J. M. Liu, K. Au, J. Y. Dai, Appl. Phys. Lett. 2012, 101, 142905.
  179. [180]Y. S. Chen, H. Y. Lee, P. S. Chen, P. Y. Gu, C. W. Chen, W. P. Lin, W. H. Liu, Y. Y. Hsu, S. S. Sheu, P. C. Chiang, W. S. Chen, F. T. Chen, C. H. Lien, M.-J. Tsai, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2009, p. 105.
  180. [181]J. P. Strachan, A. C. Torrezan, G. Medeiros-Ribeiro, R. S. Williams, Nanotechnology 2011, 22, 505402. 22108243
  181. [182]B. J. Choi, A. C. Torrezan, J. P. Strachan, P. G. Kotula, A. J. Lohn, M. J. Marinella, Z. Li, R. S. Williams, J. J. Yang, Adv. Funct. Mater. 2016, 26, 5290.
  182. [183]M.‐J. Lee, C. B. Lee, D. Lee, S. R. Lee, M. Chang, J. H. Hur, Y.‐B. Kim, C.‐J. Kim, D. H. Seo, S. Seo, U.‐I. Chung, I.‐K. Yoo, K. Kim, Nat. Mater. 2011, 10, 625. 21743450
  183. [185]S. Pi, C. Li, H. Jiang, W. Xia, H. Xin, J. J. Yang, Q. Xia, Nat. Nanotechnol. 2019 14, 35. 30420759
  184. [186]D. Kuzum, R. G. D. Jeyasingh, B. Lee, H.‐S. Philip Wong, Nano Lett. 2012, 12, 2179. 21668029
  185. [187]F. Rao, K. Ding, Y. Zhou, Y. Zheng, M. Xia, S. Lv, Z. Song, S. Feng, I. Ronneberger, R. Mazzarello, W. Zhang, E. Ma, Science 2017, 358, 1423. 29123020
  186. [188]W. Kim, M. BrightSky, T. Masuda, N. Sosa, S. Kim, R. Bruce, F. Carta, G. Fraczak, H. Y. Cheng, A. Ray, Y. Zhu, H. L. Lung, K. Suu, C. Lam, in Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2016, pp. 4.2.1– 4.2.4.
  187. [189]M. Le Gallo, A. Athmanathan, D. Krebs, A. Sebastian, J. Appl. Phys. 2016, 119, 025704.
  188. [190]F. Xiong, A. D. Liao, D. Estrada, E. Pop, Science 2011, 332, 568. 21393510
  189. [191]K. L. Wang, J. G. Alzate, P. Khalili Amiri, J Phys D: Appl Phys. 2013, 46, 074003.
  190. [192]C. Grezes, F. Ebrahimi, J. G. Alzate, X. Cai, J. A. Katine, J. Langer, K. L. Wang, Appl. Phys. Lett. 2016, 108, 012403.
  191. [193]H. Zhao, B. Glass, P. K. Amiri, A. Lyle, Y. Zhang, Y. J. Chen, G. Rowlands, P. Upadhyaya, Z. Zeng, J. A. Katine, J. Langer, K. Galatsis, H. Jiang, K. L. Wang, I. N. Krivorotov, J. P. Wang, J. Phys. D. Appl. Phys. 2012, 45, 025001.
  192. [194]Lee, J. J. Kan, S. H. Kang, in Proc. of IEEE/ACM Intl. Symp. on Low Pow. Elec. and Des., 2014, pp. 131– 136.
  193. [195]S. Ikeda, J. Hayakawa, Y. Ashizawa, Y. Lee, K. Miura, H. Hasegawa, M. Tsunoda, F. Matsukura, H. Ohno, Appl. Phys. Lett. 2008, 93, 082508.
  194. [196]S. Sakhare, M. Perumkunnil, T. H. Bao, S. Rao, W. Kim, D. Crotti, F. Yasin, S. Couet, J. Swerts, S. Kundu, D. Yakimets, R. Baert, H. R. Oh, A. Spessot, A. Mocuta, G. Sankar Kar, A. Furnemont, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2018, pp. 18.3.1– 18.3.4.
  195. [197]X. Tian, A. Toriumi, in IEEE Int. Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2017, p. 36- 64.
  196. [198]A. Chanthbouala, A. Crassous, V. Garcia, K. Bouzehouane, S. Fusil, X. Moya, J. Allibe, B. Dlubak, J. Grollier, S. Xavier, C. Deranlot, A. Moshar, R. Proksch, N. D. Mathur, M. Bibes, A. Barthelemy, Nat. Nanotechnol. 2012, 7, 101. 22138863
  197. [199]S. Dunkel, M. Trentzsch, R. Richter, P. Moll, C. Fuchs, O. Gehring, M. Majer, S. Wittek, B. Muller, T. Melde, H. Mulaosmanovic, S. Slesazeck, S. Muller, J. Ocker, M. Noack, D.-A. Lohr, P. Polakowski, J. Muller, T. Mikolajick, J. Hontschel, B. Rice, J. Pellerin, S. Beyer, in Electron Devices Meeting (IEDM), IEEE, Piscataway, NJ 2017, p. 485.
  198. [200]S. Boyn, S. Girod, V. Garcia, S. Fusil, S. Xavier, C. Deranlot, H. Yamada, C. Carrétéro, E. Jacquet, M. Bibes, A. Barthélémy, J. Grollier, Appl. Phys. Lett. 2014, 104, 052909.
  199. [201]V. Garcia, S. Fusil, K. Bouzehouane, S. Enouz-Vedrenne, N. D. Mathur, A. Barthélémy, M. Bibes, Nature 2009, 460, 81. 19483675

Cited by

Sorted by citations

Authors
Yang, K., Joshua Yang, J., Huang, R., & Yang, Y.
Affiliations
  • Department of Micro/nanoelectronics Peking University Beijing 100871 China
  • Electrical and Computer Engineering Department University of Southern California Los Angeles CA 90089 USA
  • Peking University (CN)
Corresponding author
  • Huang, Ru
  • Yang, Yuchao
ORCID
Venue
Small Science
Publisher
Wiley
Published
2021-09-28
Volume
2
Issue
1
Pages
2100049-2100049
ISSN
2688-4046 (ISSN-L)
DOI
10.1002/smsc.202100049
PMC
PMC11936018
OpenAlex
W3201874126
Cited by
151
References
28
Citations by year
2026: 28 · 2025: 28 · 2024: 30 · 2023: 38 · 2022: 25 · 2021: 2
FWCI
6.86
Type
journal article
Language
en
Open access
Licence
Locations
  • Small Science (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
  • Greater South Information System
Funders
National Natural Science Foundation of China (61925401, 92064004, 61927901)
Topics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Memory and Neural Computing
  • Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Reservoir Computing
  • Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
Keywords
memristors, nonlinearity, neuromorphic computing, beyond Moore's law

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