This paper presents synchronization phenomena of coupled chaotic circuits when chaotic circuits are connected globally with distance information. By using computer simulations and circuit experiments, clustering phenomena of coupled chaotic circuits is observed on two-dimensional place.

Coupled inductors are described in Section 11.9 of Introduction to Electric Circuits by R.C. Dorf and J.A Svoboda. In particular, Table 11.14-1 summarizes the equations that represent coupled inductors in the frequency domain. Circuit analysis in the frequency domain is described in Sections 10.6 thru 10.11. Table 10.7-1 summarizes the correspondence between the time domain and the frequency do...

In this study, we investigate the clustering phenomena observed from coupled chaotic circuits arranged in irregular 2-dimensional and 3-dimensional networks. The networks are fully coupled using the distance information, i.e. the coupling strength decreases with the distance between the circuits. We show that synchronized clusters can emerge, reflecting groups of neighboring circuits. By means ...

Quantum phase slips are a dual process of particle tunneling in coherent networks. Besides being central interest to condensed matter physics, quantum resources that sought be manipulated circuits. Here, we devise specific matter-wave circuit enlightening slips. Specifically, investigate the many-body dynamics two side-by-side ring-shaped neutral bosonic systems coupled through weak link. By im...