We propose a theory that treats the current, noise, and, generally, the full current statistics of electron transfer in a mesoscopic system in a unified, simple, and efficient way. The theory appears to be a circuit theory of 2 x 2 matrices associated with Keldysh Green functions. We illustrate the theory by considering the big fluctuations of currents in various three-terminal circuits.

Experimental observations of an almost symmetric electronic circuit show complicated sequences of bifurcations. These results are discussed in the light of a theory of imperfect global bifurcations. It is shown that much of the dynamics observed in the circuit can be understood by reference to imperfect homoclinic bifurcations without constructing an explicit mathematical model of the system.

Thomassen conjectured that every longest circuit of a 3connected graph has a chord. It is proved in this paper that every longest circuit of a 4-connected graph embedded in a torus or Klein bottle has a chord. 2003 Wiley Periodicals, Inc. J Graph Theory 43: 1–23, 2003

─ This paper presents an equivalent circuit derived directly from Maxwell's equations in a manner to show the amalgamation of field models and the circuit theory. A micro-T equivalent circuit is obtained from the solution of Maxwell’s equations for a cylindrical representation of a squirrel cage induction motor. First, a general form of the field solution is obtained using transfer matrices. A ...

Network-oriented methods applied to electromagnetic field problems can contribute significantly to the problem formulation and solution methodology and to a reduction of computational effort and allow a systematic introduction of hybrid methods. In network theory systematic approaches for circuit analysis are based on the separation of the circuit into the connection network and the circuit ele...