Combined Synchronization among Three Inconsistent Networks by Yuan Chai, Xiaojing Zhu, Jingjing Cai

“…According to Lyapunov Stability Theorem, combined controllers are designed to control three disparate networks with different topological structures. A realistic combination model of multiple inhomogeneous networks and a universal controller are devised in the combination design. …”
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On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links by Soo Hwan Kim, Yangkok Kim

“…In particular, our result includes the topological classification of the closed 3-manifolds obtained by Dehn surgery on the Whitehead link, according to Mednykh and Vesnin (1998), and the hyperbolic link 𝐿𝑑+1 of 𝑑+1 components in Cavicchioli and Paoluzzi (2000).…”
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Synchronization between Two Discrete-Time Networks with Mutual Couplings by Meng Xiao, Weigang Sun, Fangyue Chen

“…Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of coupling strengths, node dynamics, and topological structures on the inner and outer synchronization. …”
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A Graph Embedding Method Based on Sparse Representation for Wireless Sensor Network Localization by Xiaoyong Yan, Aiguo Song, Hao Yan

“…The Gaussian kernel function is used to evaluate the similarity between nodes, and the location of the unknown nodes will be commonly decided by all the nodes within communication radius through selection of sparse preserve projection self-adaptation and maintaining of the topological structure between adjacent nodes. Therefore, the algorithm can effectively solve the nonlinear problem while ranging, and it becomes less affected by the measuring error and beacon nodes quantity.…”
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Neuroevolutionary reinforcing learning of neural networks by Y. A. Bury, D. I. Samal

“…This method of constructing it makes it possible to bypass the specific limitations of models created on the basis of recombination of already known topologies of neural networks.…”
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Anomalies of QFTs from M-theory and holography by Ibrahima Bah, Federico Bonetti, Ruben Minasian, Emily Nardoni

“…In particular, when the QFT admits a holographic dual, the topological data of the solution is sufficient to compute the anomalies of the dual field theory, including finite terms in N. …”
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Operator dimension parity fractionalization by Christopher W. Murphy

“…If the ℤ 4 is anomaly-free, such QFTs can be related to 3D topological superconductors. Additionally, imposing the ℤ 4 symmetry on the Standard Model effective field theory severely restricts the allowed processes that violate baryon and lepton numbers.…”
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The Hahn Sequence Space Defined by the Cesáro Mean by Murat Kirişci

“…In this paper, the matrix domain of the Hahn sequence space determined by the Cesáro mean first order, denoted by , is obtained, and some inclusion relations and some topological properties of this space are investigated. …”
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Linear right ideal nearrings by Kenneth D. Magill

“…We determine, up to isomorphism, all those topological nearrings 𝒩n whose additive groups are the n-dimensional Euclidean groups, n>1, and which contain n one-dimensional linear subspaces {Ji}i=1n which are also right ideals of the nearring satisfying several additional properties. …”
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Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order by Ugur Kadak

“…We study some properties of this operator and investigate the topological structures of related sequence spaces. Furthermore, we introduce some properties of the strongly Cesaro difference sequence spaces of fractional order involving lacunary sequences and examine various inclusion relations of these spaces. …”
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Pinning Synchronization of One-Sided Lipschitz Complex Networks by Fang Liu, Qiang Song, Jinde Cao, Jianquan Lu

“…A selective pinning scheme is further provided to address the selection of pinned nodes and the design of pinning feedback gains for one-sided Lipschitz complex networks with general topologies. Numerical results are given to illustrate the effectiveness of the theoretical analysis.…”
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Optimized Design of 3D Spatial Images Based on Kalman Filter Equation by Wei Shan

“…A global optimal planar segmentation method with graded energy minimization is proposed, which can realize the accurate and stable extraction of the topological structure of the top surface by combining the edge information of remote sensing optical images and ensure the accuracy and stability of the final extracted 3D spatial information.…”
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Control of giant orbital angular momentum bursts of structured Laguerre-Gaussian beams in a medium with general astigmatism by A.V. Volyar, E.G. Abramochkin, M.V. Bretsko, S.I. Khalilov, Ya.E. Akimova

“…Since degenerate ring dislocations are formed by optical vortices with opposite topological charges, but with equal weights, their destruction is accompanied by appearing of vortex pairs in the form of topological dipoles (their number is equal to the radial number n). …”
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MFFTNet: A Novel 3D Point Cloud Segmentation Network Based on Multi-Scale Feature Fusion and Transformer Architecture by Hao Bai, Xiongwei Li, Qing Meng, Shulong Zhuo, Lili Yan

“…It also utilizes a Transformer for global feature modeling to establish multi-scale topological and semantic information of the point cloud. …”
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Recognition and Classification of 3D Objects of Different Details by Islam A. Alexandrov, Maxim S. Mikhailov, Alexander N. Muranov, Vladimir Zh. Kuklin

“…Then, we develop a high-accuracy recognition method based on spectral and topological invariants processed using a convolutional neural network. …”
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Normal characterizations of lattices by Carmen D. Vlad

“…We consider the interplay between normal lattices, regularity or σ-smoothness properties of measures, lattice topological properties and filter correspondence. Finally, we start a study of slightly, mildly and strongly normal lattices and express then some of these results in terms of the generalized Wallman spaces.…”
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Energy conditions in Gauss–Bonnet gravity by Francesco Bajardi

“…Abstract We study the Energy Conditions in modified $$f(\mathcal {G})$$ f ( G ) gravity, with $$\mathcal {G}$$ G being the topological Gauss–Bonnet term. Then we use the cosmographic parameters to constrain the functional form of the gravitational action and investigate the possibility to have standard inflation in the early time. …”
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Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces by Jiang Zhu, Lei Wei, Yeol Je Cho, Cheng Cheng Zhu

“…The results of this paper extend, generalize, and improve the corresponding results for Ekeland's variational principles of the directed vectorial perturbation type and other generalizations of Ekeland's variational principles in the setting of F-type topological space and quasi-metric spaces in the literatures. …”
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Horseshoe Chaos in a 3D Neural Network with Different Activation Functions by Fangyan Yang, Song Tang, Guilan Xu

“…For chaos, we present a rigorous computer-assisted study by virtue of topological horseshoe theory.…”
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Choquet and Shilov Boundaries, Peak Sets, and Peak Points for Real Banach Function Algebras by Davood Alimohammadi, Taher Ghasemi Honary

“…Let be a compact Hausdorff space and let be a topological involution on . In 1988, Kulkarni and Arundhathi studied Choquet and Shilov boundaries for real uniform function algebras on . …”
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