A new two-terminal circuit element-called the memristorcharacterized by a relationship between the charge q(t)\equiv \int_{-\infty}^{t} i(\tau) d \tau and the flux-linkage \varphi(t)\equiv \int_{-… Expand

A novel class of information-processing systems called cellular neural networks is proposed. Like neural networks, they are large-scale nonlinear analog circuits that process signals in real time.… Expand

The goal of this book is to present an elementary introduction on chaotic systems for the non-specialist, and to present and extensive package of computer algorithms for simulating and characterizing chaotic phenomena.Expand

A broad generalization of memristors--a recently postulated circuit element--to an interesting class of nonlinear dynamical systems called memristive systems is introduced. These systems are… Expand

Examples of cellular neural networks which can be designed to recognize the key features of Chinese characters are presented and their applications to such areas as image processing and pattern recognition are demonstrated.Expand

Using the notion of fading memory, very strong versions of two folk theorems are proved that any time-invariant continuous nonlinear operator can be approximated by a Volterra series operator and that the approximating operatorCan be realized as a finite-dimensional linear dynamical system with a nonlinear readout map.Expand

The CNN universal machine is described, emphasizing its programmability as well as global and distributed analog memory and logic, high throughput via electromagnetic waves, and complex cells that may be used also for simulating a broad class of PDEs.Expand

This paper provides a rigorous mathematical proof that the double scroll is indeed chaotic. Our approach is to derive a linearly equivalent class of piecewise-linear differential equations which… Expand

The goal of this tutorial is to introduce some fundamental circuit-theoretic concepts and properties of the memristor that are relevant to the analysis and design of non-volatile nano memories where binary bits are stored as resistances manifested by the Memristor’s continuum of equilibrium states.Expand

By considering the total cocontent function, the solution of the canonical non linear programming circuit is reconciled with the problem being modeled and it is shown how the circuit can be realized using a neural network, thereby extending the results of D.W. Tank and J.J. Hopefield to the general nonlinear programming problem.Expand