Synchronization of Nonlinear Circuits in Dynamic Electrical Networks with General Topologies [PDF]
Sufficient conditions are derived for global asymptotic synchronization in a system of identical nonlinear electrical circuits coupled through linear time-invariant (LTI) electrical networks. In particular, the conditions we derive apply to settings where: i) the nonlinear circuits are composed of a parallel combination of passive LTI circuit elements ...
Sairaj V. Dhople+3 more
arxiv +8 more sources
Structural Equivalence between Electrical Circuits via Neutrosophic Nano Topology Induced by Digraphs [PDF]
The purpose of the present work was to study the real life problems using neutrosophic nano topological graph theory. Most real-life situations need some sort of approximation to fit mathematical models.
T. Nandhini, M. Vigneshwaran , S. Jafari
doaj +6 more sources
Realization of quasicrystalline quadrupole topological insulators in electrical circuits [PDF]
Quadrupole topological insulators are a new class of topological insulators with quantized quadrupole moments, which support protected gapless corner states. The experimental demonstrations of quadrupole-topological insulators were reported in a series of artificial materials, such as photonic crystals, acoustic crystals, and electrical circuits.
Jinhui Shi+13 more
arxiv +6 more sources
Electric Circuit Simulation of Floquet Topological Insulators [PDF]
We present a method for simulating any non-interacting and time-periodic tight-binding Hamiltonian in Fourier space using electric circuits made of inductors and capacitors. We first map the time-periodic Hamiltonian to a Floquet Hamiltonian, which converts the time dimension into a Floquet dimension.
Dabiri, S. Sajad, Cheraghchi, H.
arxiv +3 more sources
4D spinless topological insulator in a periodic electric circuit [PDF]
According to the mathematical classification of topological band structures, there exist a number of fascinating topological states in dimensions larger than three with exotic boundary phenomena and interesting topological responses. While these topological states are not accessible in condensed matter systems, recent works have shown that synthetic ...
Rui Yu, Y X Zhao, Andreas P Schnyder
arxiv +6 more sources
Synchronization of Nonlinear Circuits in Dynamic Electrical Networks With General Topologies [PDF]
Sufficient conditions are derived for global asymptotic synchronization in a system of identical nonlinear electrical circuits coupled through linear time-invariant (LTI) electrical networks. In particular, the conditions we derive apply to settings where: i) the nonlinear circuits are composed of a parallel combination of passive LTI circuit elements ...
Sairaj V. Dhople+3 more
openalex +4 more sources
Topological Anderson Insulator in electric circuits [PDF]
Although topological Anderson insulator has been predicted in 2009, the lasting investigations of this disorder established nontrivial state results in only two experimental observations in cold atoms [Science, {\bf 362 },929 (2018)] and in photonic crystals [Nature, {\bf 560}, 461 (2018)] recently.
Zhi-Qiang Zhang+3 more
arxiv +4 more sources
Gain and loss induced topological insulating phase in a non Hermitian electrical circuit [PDF]
There have been considerable efforts devoted to the study of topological phases in certain non-Hermitian systems that possess real eigenfrequencies in the presence of gain and loss. However, it is challenging to experimentally realize such non-Hermitian topological insulators in either quantum or photonic systems, due to the difficulties in introducing
Yuanjiang Xiang+9 more
arxiv +4 more sources
Synthesis of topology and sizing of analog electrical circuits by means of genetic programming [PDF]
Abstract The design (synthesis) of an analog electrical circuit entails the creation of both the topology and sizing (numerical values) of all of the circuit's components. There has previously been no general automated technique for automatically creating the design for an analog electrical circuit from a high-level statement of the circuit's desired
J.R. Koza+3 more
openalex +2 more sources
Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits [PDF]
The study of topological states has developed rapidly in electric circuits, which permits flexible fabrications of non-Hermitian systems by introducing non-Hermitian terms. Here, nonreciprocal coupling terms are realized by utilizing a voltage follower module in non-Hermitian topological electric circuits. We report the experimental realization of one-
Bin Liu+6 more
arxiv +4 more sources