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An ideal memristor with single-valued odd-symmetric charge-flux nonlinearity is extensively proposed for chaos-based applications. However, according to our boundary condition-based memristor model, the nonlinearity of a memristor nano-structure is in general multi-valued with strong dependence on input and initial conditions. Nevertheless, provided the model is augmented with suitable boundary conditions,...
An efficient and practical method is proposed for finding all solutions of piecewise-linear resistive circuits using integer programming. In this method, we formulate the problem of finding all solutions by a mixed integer programming problem, and solve it by a high-performance integer programming software such as GLPK, SCIP, or CPLEX. It is shown that the proposed method can be easily implemented...
Networks made up of bio-inspired neuron oscillatory circuits with nanoscale memristors may achieve the large connectivity and highly parallel processing power of biological systems. Memristor also has potential to reproduce the behavior of a biological synapse. As in a living creature the weight of a synapse is adapted by ionic flow through it, so the conductance of a memristor is controlled by flux...
The paper presents the direct application of the signal flow graphs (SFG) in calculation of higher order derivatives (sensitivities) of the linear network functions. It is based on the adjoint networks, represented by SFG. Thanks to the application of SFG we can calculate the exact value of any order derivative of the output variables without knowing their solutions in explicit form. Moreover the...
Discretization effects of second order terminal sliding mode control systems are studied. The existence of periodic solutions is investigated. Complete classification of period-2 orbits is given. The influence of system's parameters on the size of the steady state solution is studied. Theoretical results are illustrated with simulation examples.
This paper reports a new measurement based approach that can be used to determine the functional dependence of a D.C. circuit variable of interest on a small set of design variables. The approach makes use of a small number of measurements and generalizes the well known Thévenin's Theorem of circuit theory.
The paper deals with the possibility of using the spatio-temporal dynamics of a class of CNN's for texture classification. The principle of the proposed architecture is discussed and the design of a bank of spatial filters for this kind of application is presented. Transistor level simulation and considerations regarding the architecture reconfiguration will be given as well.
For designing oscillatory circuit, it is important to simulate and search the characteristics. If we analyze a weakly nonlinear circuit, we often apply averaging method which is one of the approximate solving method. In this study, we combine the averaging method to Newton homotopy method and analyze a circuit by using Spice. By solving Newton homotopy method, we obtain multiple equilibrium points...
The two neuron CNN system with piecewise linear activation function and time dependent external inputs is analyzed and the parametric solutions for the trajectories are given. We look then at the particular case in which the CNN has an antisymmetric template and sine external input. For particular parameter values, this example has been found in the literature to have chaotic behavior. We use the...
In this paper, we provide a novel approach to describe and analyze memristive circuits. This method is based on a Volterra series representation of the essential time functions of the circuit. This does not only provide the possibility of calculating voltages and currents over time in specific memristive networks, but describes the behavior of a general single memristor circuit, e.g. a circuit with...
A discrete transmission line model is presented for propagation of quantum particles in crystals. It allows a substantial simplification in calculations, the integration of a quantum description in a classical environment, let alone a useful key for intuitive grasping of quantum aspects.
A method to analyze the injection locking and injection pulling of arbitrary oscillators under small excitation is proposed. The most general case when the excitation frequency is close to a rational fraction of the oscillator fundamental is considered. The phase differential equation for an arbitrary periodic excitation is derived. Expressions to evaluate characteristics of the oscillator in injection...
In this paper, symbolic matrices and a simple algebraic method to list spanning trees and find Hamiltonian circuits in a simple un-oriented graph are used. A concrete, fully-parallel algorithm that achieves both goals, with examples is shown. A necessary and sufficient condition for Hamiltonicity is presented, too.
In this paper, we derive linearized discrete-time models of higher order Charge-Pump Phase-Locked Loops (CPPLLs). The behaviour of CP-PLLs in the steady state is analysed and an important feature is developed. The nonlinear state equations of CP-PLLs are linearized around the equilibrium point. The linearized discrete-time model is finally verified using behavioral simulations in Matlab and PSpice.
It is presented an efficient single fault simulation methodology for dynamic analogue circuits with nonlinear resistive elements. It is suitable for the simulation-before-test of thousands of faulty circuits, such as when building fault dictionaries. The proposed strategy merges techniques with efficiency already been demonstrated with prototype simulators: one supports nonlinear resistive circuits;...
A special class of nonlinear electronic circuits exhibits jump effects which occurs e.g. when the state space of an electronic system contains a fold. This can lead to difficulties during the simulation of these systems with standard circuit simulators. A common treatment to overcome these problems is to regularise these systems by adding suitably located parasitic inductors L's and capacitors C's...
The problem of the correct evaluation of Q-factor appearing in Adler's equation for injection-locking is addressed. Investigation has shown that recent results presented in the literature, while extending applicability of the original method, do not completely account for nonlinear effects occurring when two-port active devices are involved. To overcome such limitation, use can be made of a newly...
The paper is focused on studies of chaotic phenomena in a fractional order non-linear circuit representing an electrochemical reactor. The various forms of reactor characteristics are investigated and the resulting circuit states are analyzed. Strange attractors are revealed, documented and presented.
In this study, synchronization phenomena observed in coupled polygonal oscillatory networks with frustration is investigated. In this oscillatory system, dilemma is created by the shared branch. We investigate the phase difference between adjacent oscillators when the number of oscillators connected to one side of the polygonal network is increased for considering the large-scale oscillatory networks.
The nonlinear diffusion PDE have been broadly applied in image processing. In this paper we propose a convection - diffusion filter by adding a convection term in the modified diffusion equation as a physical interpretation for removing the noise. We study the dynamics of such equations by the discretization of this convection - diffusion model via Cellular Nonlinear Networks (CNN). Numerical experiments...
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