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(2008)
67. L.O. Chua, L. Yang, Cellular neural networks: theory. IEEE Trans. Circuits Syst. 35(10),
1257–1272 (1988)
68. T. Roska, L.O. Chua, The CNN universal machine: an analogic array computer. IEEE Trans.
Circuits Syst. II 40, 163–173 (1993)
69. E. Lehtonen, J. Poikonen, M. Laiho, W. Lu, Time-dependency of the threshold voltage in
memristive devices, in 2011 IEEE Int. Symp. Circuits Syst. (IEEE, Piscataway, 2011), pp.
2245–2248
70. M.P. Sah, C. Yang, H. Kim, L. Chua, A voltage mode memristor bridge synaptic circuit with
memristor emulators. Sensors 12(3), 3587–3604 (2012)
71. D.B. Strukov, R. Stanley Williams, Exponential ionic drift: fast switching and low volatility
of thin-film memristors. Appl. Phys. A 94(3), 515–519 (2009)
72. M.D. Pickett, D.B. Strukov, J.L. Borghetti, J.J. Yang, G.S. Snider, D.R. Stewart, R.S.
Williams, Switching dynamics in titanium dioxide memristive devices. J. Appl. Phys. 106(7),
074508 (2009)
73. J.G. Simmons, Generalized formula for the electric tunnel effect between similar electrodes
separated by a thin insulating film. J. Appl. Phys. 34(6), 1793–1803 (1963)
74. H. Abdalla, M.D. Pickett, SPICE modeling of memristors, in 2011 IEEE International
Symposium on Circuits and Systems (IEEE, Piscataway, 2011), pp. 1832–1835
75. Y.V. Pershin, M. Di Ventra, SPICE model of memristive devices with threshold (2012).
arXiv:1204.2600
76. Y.V. Pershin, S.L. Fontaine, M. Di Ventra, Memristive model of amoeba learning. Phys. Rev.
E 80(2), 021926 (2009)
77. B. Linares-Barranco, T. Serrano-Gotarredona, Memristance can explain spike-timedependent-plasticity in neural synapses. Nat. Prec. 1 (2009)
78. K. Eshraghian, O. Kavehei, K.-R. Cho, J.M. Chappell, A. Iqbal, S.F. Al-Sarawi, D. Abbott,
Memristive device fundamentals and modeling: applications to circuits and systems simulation. Proc. IEEE 100(6), 1991–2007 (2012)
79. A. Ascoli, F. Corinto, V. Senger, R. Tetzlaff, Memristor model comparison. IEEE Circuits
Syst. Mag. 13(2), 89–105 (2013)
80. A. Ascoli, D. Baumann, R. Tetzlaff, L.O. Chua, M. Hild, Memristor-enhanced humanoid
robot control system–part I: theory behind the novel memcomputing paradigm. Int. J. Circuit
Theory Appl. 46(1), 155–183 (2018)
81. D. Baumann, A. Ascoli, R. Tetzlaff, L.O. Chua, M. Hild, Memristor-enhanced humanoid
robot control system–part II: circuit theoretic model and performance analysis. Int. J. Circuit
Theory Appl. 46(1), 184–220 (2018)
82. D. Kaplan, L. Glass, Understanding Nonlinear Dynamics (Springer, Berlin, 2012)
83. L.P. Shil’nikov, Methods of Qualitative Theory in Nonlinear Dynamics, vol. 5 (World
Scientific, Singapore, 2001)
84. R. Devaney, An Introduction to Chaotic Dynamical Systems (CRC Press, Boca Raton, 2018)
85. S. Sastry, Nonlinear Systems: Analysis, Stability, and Control, vol. 10 (Springer, Berlin 2013)
86. E. Covi, S. Brivio, A. Serb, T. Prodromakis, M. Fanciulli, S. Spiga, HfO2-based memristors
for neuromorphic applications, in 2016 IEEE International Symposium on Circuits and
Systems (IEEE, Piscataway, 2016), pp. 393–396
87. A. Ascoli, V. Senger, R. Tetzlaff, N. Du, O.G. Schmidt, H. Schmidt, BiFeO3 memristor-based
encryption of medical data, in 2016 IEEE International Symposium on Circuits and Systems
(IEEE, Piscataway, 2016), pp. 1602–1605
88. G. Papandroulidakis, I. Vourkas, G.C. Sirakoulis, S.G. Stavrinides, S. Nikolaidis, Multistate memristive nanocrossbar for high-radix computer arithmetic systems, in 2015 IEEE
International Conference on Nanotechnology (IEEE, Piscataway, 2015), pp. 625–628
2 Fundamental Properties of Mem-Elements
66. J. Joshua Yang, M.D. Pickett, X. Li, D.A.A. Ohlberg, D.R. Stewart, R.S. Williams, Memristive switching mechanism for metal/oxide/metal nanodevices. Nat. Nanotechnol. 3(7), 429
(2008)
67. L.O. Chua, L. Yang, Cellular neural networks: theory. IEEE Trans. Circuits Syst. 35(10),
1257–1272 (1988)
68. T. Roska, L.O. Chua, The CNN universal machine: an analogic array computer. IEEE Trans.
Circuits Syst. II 40, 163–173 (1993)
69. E. Lehtonen, J. Poikonen, M. Laiho, W. Lu, Time-dependency of the threshold voltage in
memristive devices, in 2011 IEEE Int. Symp. Circuits Syst. (IEEE, Piscataway, 2011), pp.
2245–2248
70. M.P. Sah, C. Yang, H. Kim, L. Chua, A voltage mode memristor bridge synaptic circuit with
memristor emulators. Sensors 12(3), 3587–3604 (2012)
71. D.B. Strukov, R. Stanley Williams, Exponential ionic drift: fast switching and low volatility
of thin-film memristors. Appl. Phys. A 94(3), 515–519 (2009)
72. M.D. Pickett, D.B. Strukov, J.L. Borghetti, J.J. Yang, G.S. Snider, D.R. Stewart, R.S.
Williams, Switching dynamics in titanium dioxide memristive devices. J. Appl. Phys. 106(7),
074508 (2009)
73. J.G. Simmons, Generalized formula for the electric tunnel effect between similar electrodes
separated by a thin insulating film. J. Appl. Phys. 34(6), 1793–1803 (1963)
74. H. Abdalla, M.D. Pickett, SPICE modeling of memristors, in 2011 IEEE International
Symposium on Circuits and Systems (IEEE, Piscataway, 2011), pp. 1832–1835
75. Y.V. Pershin, M. Di Ventra, SPICE model of memristive devices with threshold (2012).
arXiv:1204.2600
76. Y.V. Pershin, S.L. Fontaine, M. Di Ventra, Memristive model of amoeba learning. Phys. Rev.
E 80(2), 021926 (2009)
77. B. Linares-Barranco, T. Serrano-Gotarredona, Memristance can explain spike-timedependent-plasticity in neural synapses. Nat. Prec. 1 (2009)
78. K. Eshraghian, O. Kavehei, K.-R. Cho, J.M. Chappell, A. Iqbal, S.F. Al-Sarawi, D. Abbott,
Memristive device fundamentals and modeling: applications to circuits and systems simulation. Proc. IEEE 100(6), 1991–2007 (2012)
79. A. Ascoli, F. Corinto, V. Senger, R. Tetzlaff, Memristor model comparison. IEEE Circuits
Syst. Mag. 13(2), 89–105 (2013)
80. A. Ascoli, D. Baumann, R. Tetzlaff, L.O. Chua, M. Hild, Memristor-enhanced humanoid
robot control system–part I: theory behind the novel memcomputing paradigm. Int. J. Circuit
Theory Appl. 46(1), 155–183 (2018)
81. D. Baumann, A. Ascoli, R. Tetzlaff, L.O. Chua, M. Hild, Memristor-enhanced humanoid
robot control system–part II: circuit theoretic model and performance analysis. Int. J. Circuit
Theory Appl. 46(1), 184–220 (2018)
82. D. Kaplan, L. Glass, Understanding Nonlinear Dynamics (Springer, Berlin, 2012)
83. L.P. Shil’nikov, Methods of Qualitative Theory in Nonlinear Dynamics, vol. 5 (World
Scientific, Singapore, 2001)
84. R. Devaney, An Introduction to Chaotic Dynamical Systems (CRC Press, Boca Raton, 2018)
85. S. Sastry, Nonlinear Systems: Analysis, Stability, and Control, vol. 10 (Springer, Berlin 2013)
86. E. Covi, S. Brivio, A. Serb, T. Prodromakis, M. Fanciulli, S. Spiga, HfO2-based memristors
for neuromorphic applications, in 2016 IEEE International Symposium on Circuits and
Systems (IEEE, Piscataway, 2016), pp. 393–396
87. A. Ascoli, V. Senger, R. Tetzlaff, N. Du, O.G. Schmidt, H. Schmidt, BiFeO3 memristor-based
encryption of medical data, in 2016 IEEE International Symposium on Circuits and Systems
(IEEE, Piscataway, 2016), pp. 1602–1605
88. G. Papandroulidakis, I. Vourkas, G.C. Sirakoulis, S.G. Stavrinides, S. Nikolaidis, Multistate memristive nanocrossbar for high-radix computer arithmetic systems, in 2015 IEEE
International Conference on Nanotechnology (IEEE, Piscataway, 2015), pp. 625–628