“…As a result, such dualities and fractionalizations support the topological [Formula: see text] algebraic structures. Our findings will inspire researches seeking feasible and promising topological systems, which may lead to new practical applications such as solitronics.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The synchronization problem of two HR coupled neurons is ultimately converted into the stability problem of roots to a nonlinear algebraic equation. Then, an analytical criterion for synchronization between the two HR neurons can be given by using the Routh-Hurwitz criterion. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Steps of the solution methodology are consisting of approximation of the time fractional derivatives using the conformable definition, using the finite differences method to discretize the governing system and implementation the resulting algebraic system. The main outcomes reveled that as the fractional order approaches to one, the maximum values of the stream function, the bulk-averaged temperature and cup-mixing temperature are reduces, regardless values of the time.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The model, formulated in a system of linear algebraic equations, can be implemented in the computational code using different optimized libraries. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…To understand the long-term behaviour of a population analytically, generic mathematical models are investigated algebraically and numerically for their capability to describe periodic oscillations. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Resnikoff, who had the idea to give up the analysis of the space of perceived colors through metameric classes of spectra in favor of the study of its algebraic properties. This strategy permitted to reveal the importance of hyperbolic geometry in colorimetry. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Balancing the coefficients of the like powers of the portended solution leads to a system of algebraic equations (SAE). The solution of that SAE for coefficients provides the essential connection between the coefficients and the parameters to build the exact solution. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…In particular, we review, evaluate, and compare the stable multi-scale kernel, persistence landscapes, persistence images, the ring of algebraic functions, template functions, and adaptive template systems. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The probability distribution of the transient time is found to follow an algebraic scaling law with a divergent average transient lifetime. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…However, using a finite difference scheme in space combined with a fourth-order Runge–Kutta method in time and fixed boundary conditions, we show that the numerical solution is in complete agreement with the one obtained by means of algebraic techniques. Second, as in the Euclidean case, we claim that, at infinitesimal times, the evolution of VFE for a planar polygon as the initial datum can be described as a superposition of several one-corner initial data. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The use of presheaves as models of local variation has precedents in algebraic geometry, category theory and physics; they are here used as models of local causal variation. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…On the basis of these findings, we introduce a simple algebraic representation of chromosomal change and use it to establish a unified systematic framework for metazoan chromosome evolution. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…In this article, we discuss the Hosoya characteristics (the Hosoya polynomial and its reciprocal) of the power graph related to an algebraic structure formed by the symmetries of regular molecular gones. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We also provide some necessary conditions for identifiability based on graph structure. Our proofs use algebraic and combinatorial techniques.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Our definitions are algebraically and axiomatically motivated, and can be generalized to domains beyond Shannon information theory (such as algorithmic information theory and quantum information theory). …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…We analyse this phenomenon in a family of models that connects two very different classes of systems: resonantly interacting waves and wave-free incompressible flows. The connection is algebraic and turns into an identity for properly discretized models. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Chaotic S-boxes are resistant to algebraic attacks. An IAT is used to scramble an image encoded by the DRPE system. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Often, persistence decays algebraically with time with non trivial exponents. However, general analytical methods to calculate persistence exponents cannot be applied to the ubiquitous case of non-Markovian systems relaxing transiently after an imposed initial perturbation. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…It exhibits a remarkable crossover from an exponential decay at higher temperature to an algebraic decay at lower temperature where almost no decoherence occurs, a regime previously unobserved in GaAs interferometers.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…This article mainly studies first-order coherence related to the robustness of the triplex MASs consensus models with partial complete graph structures; the performance index is studied through algebraic graph theory. The topologies of the novel triplex networks are generated by graph operations and the approach of graph spectra is applied to calculate the first-order network coherence. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso