Synchronization of Nonlinear Circuits in Dynamic Electrical Networks with General Topologies [PDF]
arXiv, 2013Sufficient 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]
Neutrosophic Sets and Systems, 2020The 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 +5 more sources
Synthesis of topology and sizing of analog electrical circuits by means of genetic programming [PDF]
Computer Methods in Applied Mechanics and Engineering, 2000Abstract 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
semanticscholar +3 more sources
Realizing efficient topological temporal pumping in electrical circuits [PDF]
Physical Review Research, 2023main (5 pages, 3 figures) plus supplement (8 pages, 4 figures)
Alexander Stegmaier+13 more
openaire +4 more sources
Realization of quasicrystalline quadrupole topological insulators in electrical circuits [PDF]
Communications Physics, 2021Quadrupole 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]
J. Appl. Phys. 134, 084303 (2023), 2022We 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
Creation of electrical knots and observation of DNA topology [PDF]
New Journal of Physics, 2021Knots are fascinating topological structures that have been observed in various contexts, ranging from micro-worlds to macro-systems, and are conjectured to play a fundamental role in their respective fields. In order to characterize their physical properties, some topological invariants have been introduced, such as unknotting number, bridge number ...
Tian Chen+5 more
arxiv +3 more sources
4D spinless topological insulator in a periodic electric circuit [PDF]
National Science Review 2020, 2019According 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]
IEEE Transactions on Circuits and Systems I: Regular Papers, 2014Sufficient 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]
Phys. Rev. B 100, 184202 (2019), 2019Although 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