Graph Theory is used for the study of real-world Systems possessing a binary relation between elements of a certain set within the system description. Among other discipline (Circuit Theory) has received outstanding contributions from the study of graphs. Some of the contributions may be found in the solution to specific problems related to electrical network analysis, nonlinear circuit theory,...

A system equation with certain properties describes implicitly function sets as the basis for an optimal design of a digital circuit. A necessary condition for the realization of a digital circuit is that the associated system equation is resolvable [2], [4]. This paper shows how the resolvability of the system equation can be checked and how the explicit description of the circuit functions ca...

Stochastic dynamics of chemical reactions in a mutually repressing two-gene circuit is numerically simulated. The circuit has a rich variety of different states when the kinetic change of DNA status is slow. The stochastic switching transition between those states are compared with the theoretical estimation of the switching rate derived from the idea similar to the transition state theory. Eve...

The modeling of ecological connectivity across networks and landscapes is an active research area that spans the disciplines of ecology, conservation, and population genetics. Recently, concepts and algorithms from electrical circuit theory have been adapted to address these problems. The approach is based on linkages between circuit and random walk theories, and has several advantages over pre...

In this paper the complex dynamics of Chua’s canonical circuit with a memristor instead of a nonlinear resistor, was studied. The proposed memristor is a flux controlled memristor, where the relation between flux and charge is a smooth continuous cubic function. A very important phenomenon concerning Chaos theory, such us, the great sensitivity of the circuit on initial conditions, was studied ...

We constructed an analog circuit generating fluctuations of which a probability density function has power law tails. In the circuit fluctuations with an arbitrary exponent of the power law can be obtained by tuning the resistance. A theory of a differential equation with both multiplicative and additive noises which describes the circuit is introduced. The circuit is composed of a noise genera...

In this paper, a low voltage CMOS current controlled floating resistor which is convenient for integrated circuit implementation is designed by using differential pair. The proposed resistor has a simple circuit structure and low power dissipation. This circuit is required ±0.75 V as a power supply. The basic advantages of this circuit are wide tuning range of the resistance value, satisfied fr...