Advances in Memristors, Memristive Devices and Systems - download pdf or read online
By Sundarapandian Vaidyanathan, Christos Volos
This publication experiences at the most recent advances in and purposes of memristors, memristive units and platforms. It gathers 20 contributed chapters via topic specialists, together with pioneers within the box reminiscent of Leon Chua (UC Berkeley, united states) and R.S. Williams (HP Labs, USA), who're really expert within the a variety of subject matters addressed during this ebook, and covers extensive components of memristors and memristive units resembling: memristor emulators, oscillators, chaotic and hyperchaotic memristive platforms, keep an eye on of memristive platforms, memristor-based min-max circuits, canonic memristors, memristive-based neuromorphic functions, implementation of memristor-based chaotic oscillators, inverse memristors, linear memristor units, not on time memristive structures, flux-controlled memristive emulators, and so on.
Throughout the booklet, specific emphasis is given to papers supplying functional strategies and layout, modeling, and implementation insights to deal with present learn difficulties in memristors, memristive units and structures. As such, it deals a helpful reference publication on memristors and memristive units for graduate scholars and researchers with a simple wisdom of electric and regulate structures engineering.
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Additional info for Advances in Memristors, Memristive Devices and Systems
6 Hopf Bifurcation Hopf bifurcation is a local bifurcation generated by non-linear dynamical systems in which an equilibrium point changes stability at some critical parameter value μ , under certain conditions. The bifurcation can be super-critical or sub-critical resulting in a stable or unstable limit cycle respectively, and is conﬁrmed by the computation of a Hopf coefﬁcient “a” at the equilibrium point when a pair of eigen values of the associated Jacobian matrix are purely imaginary. The standard Hopf coefﬁcient “a” for a second-order ODE is given by: a= Ã 1 Â fxxx + fxyy + gxxy + gyyy 16 Á À Á Ã 1 Â À + fxy fxx + fyy − gxy gxx + gyy − fxx gxx + fyy gyy 16ω0 ð51Þ The plot of Im(λ) versus Re(λ) shown in Fig.
Observe from Fig. 13a that the transient waveform converges to an asymptotically stable equilibrium point. An identical phenomenon was observed as shown in Fig. 66131678261 V. However, the transient waveform converges to a stable limit cycle as shown in Fig. 4 V was chosen within the Hopf super-critical region.
11a and b, as the voltage increases the poles of admittance function and the Eigen values also increases. 1305 V the Im p1 and Im p2 become zero. 3 We would like to caution the readers that the DC current Iext is the input in Chua et al. (2012a, b), and the two small-signal equivalent circuits of the potassium ion-channel memristor and the sodium ion-channel memristor in the HH model are connected parallel. Hence, the Eigen values of 1 the Jacobian matrix are identical to the poles of the small-signal impedance Zðs, IÞ≜ VðsÞ IðsÞ = YðsÞ, or equivalently, the zeros of the admittance Y(s).
Advances in Memristors, Memristive Devices and Systems by Sundarapandian Vaidyanathan, Christos Volos