Since the fourth fundamental element (Memristor) became a reality by HP labs, and due to its huge potential, its mathematical models became a necessity. In this paper, we provide a simple mathematical model of Memristors characterized by linear dopant drift for sinusoidal input voltage, showing a high matching with the nonlinear SPICE simulations. The frequency response of the Memristor’s resistance and its bounding conditions are derived. The fundamentals of the pinched i-v hysteresis, such as the critical resistances, the hysteresis power and the maximum operating current, are derived for the first time. © 2009 IEEE.
The effect of numerical techniques on differential equation based chaotic generators
In this paper, we study the effect of the numerical solution accuracy on the digital implementation of differential chaos generators. Four systems are built on a Xilinx Virtex 4 FPGA using Euler, mid-point, and Runge-Kutta fourth order techniques. The twelve implementations are compared based on the FPGA used area, maximum throughput, maximum Lyapunov exponent, and autocorrelation confidence region. Based on circuit performance and the chaotic response of the different implementations, it was found that less complicated numerical solution has better chaotic response and higher throughput. © 2011 IEEE.
Analysis of bus width and delay on a fully digital signum nonlinearity chaotic oscillator
This paper introduces the first fully digital implementation of a 3rd order ODE-based chaotic oscillator with signum nonlinearity
Secure DS-CDMA spreading codes using fully digital multidimensional multiscroll chaos
This paper introduces a generalized fully digital hardware implementation of 1-D, 2-D and 3-D multiscroll chaos through sawtooth nonlinearities in a 3rd order ODE with the Euler approximation, wherein low-significance bits pass all NIST SP
HP Memristor mathematical model for periodic signals and DC
Since the fourth fundamental element (Memristor) became a reality by HP labs, and due to its huge potential, its mathematical models became a necessity
On the short-term predictability of fully digital chaotic oscillators for pseudo-random number generation
This paper presents a digital implementation of a 3rd order chaotic system using the Euler approximation
Random number generation based on digital differential chaos
In this paper, we study the effect of the numerical solution accuracy on the digital implementation of differential chaos generators
Fibonacci-based hardware post-processing for non-autonomous signum hyperchaotic system
This paper presents a hardware implementation of a robust non-autonomous hyperchaotic-based PRNG driven by a 256-bit LFSR
Controllable V-shape multiscroll butterfly attractor: System and circuit implementation
In this paper, a new controllable V-shape multiscroll attractor is presented, where a variety of symmetrical and unsymmetrical attractors with a variable number of scrolls can be controlled using new staircase nonlinear function and the parameters of the system
A family of memristor-based reactance-less oscillators
In this paper, we present for the first time a family of memristor-based reactance-less oscillators (MRLOs)