Stability and Bifurcation for a Delayed Diffusive Two-Zooplankton One-Phytoplankton Model with Two Different Functions by Xin-You Meng, Li Xiao

“…The explicit formulas to determine the properties of Hopf bifurcation are given by the method of the normal form theory and center manifold theorem for partial functional differential equations. …”
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Multiobjective Memetic Estimation of Distribution Algorithm Based on an Incremental Tournament Local Searcher by Kaifeng Yang, Li Mu, Dongdong Yang, Feng Zou, Lei Wang, Qiaoyong Jiang

“…Besides, two multiobjective problems with variable linkages strictly based on manifold distribution are proposed. The Pareto set to the continuous multiobjective optimization problems, in the decision space, is a piecewise low-dimensional continuous manifold. …”
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Sparse Array Angle Estimation Using Reduced-Dimension ESPRIT-MUSIC in MIMO Radar by Chaozhu Zhang, Yucai Pang

“…However, they are subject to manifold ambiguity. In this paper, both the transmit array and receive array are sparse linear arrays in the bistatic MIMO radar. …”
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Learning context invariant representations for EEG data by Thibault de Surrel

“…As these matrices are symmetric positive definite (SPD), they live on a manifold that can be endowed with a Riemannian structure. …”
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On Complex Dynamics of Differentiated Products: Cournot Duopoly Model under Average Profit Maximization by S.S. Askar

“…Under some restrictions, the map’s coordinate axes form an invariant manifold, and hence their dynamics are studied based on a one-dimensional discrete dynamic map. …”
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Semisupervised Kernel Marginal Fisher Analysis for Face Recognition by Ziqiang Wang, Xia Sun, Lijun Sun, Yuchun Huang

“…In addition, in order to make the nonlinear structure captured by the data-dependent kernel consistent with the intrinsic manifold structure, a manifold adaptive nonparameter kernel is incorporated into the learning process of SKMFA. …”
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Massive bigravity as a presymplectic BV-AKSZ sigma-model by Maxim Grigoriev, Vyacheslav Gritzaenko

“…A characteristic feature of the construction is that the target space is realised as a quasi-regular submanifold of a linear graded manifold which, in turn, is a direct product of two copies of the shifted Poincaré or (anti-)de Sitter Lie algebra. …”
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Modified Kernel Marginal Fisher Analysis for Feature Extraction and Its Application to Bearing Fault Diagnosis by Li Jiang, Shunsheng Guo

“…It firstly utilizes MKMFA to directly extract the low-dimensional manifold characteristics from the raw time-series signal samples in high-dimensional ambient space. …”
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Higher-form symmetries, Bethe vacua, and the 3d-3d correspondence by Julius Eckhard, Heeyeon Kim, Sakura Schäfer-Nameki, Brian Willett

“…This is carried out in detail for M3 a Seifert manifold, where we compute a refined version of the Witten index. …”
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Cycle Intersection for SOp,q-Flag Domains by Faten Abu Shoga

“…A real form G0 of a complex semisimple Lie group G has only finitely many orbits in any given compact G-homogeneous projective algebraic manifold Z=G/Q. A maximal compact subgroup K0 of G0 has special orbits C which are complex submanifolds in the open orbits of G0. …”
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Approximate Solution of a Reduced-Type Index-k Hessenberg Differential-Algebraic Control System by Ghazwa F. Abd, Radhi A. Zaboon

“…The implicit function theorem is first applied to solve the algebraic constraints of having unknown state differential variables to form a reduced state-space representation of an ordinary differential (control) system defined on smooth manifold with consistent initial conditions. The variational formulation is then developed for the reduced problem. …”
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Mass Laplacian Discriminant Analysis and Its Application in Gear Fault Diagnosis by Guangbin Wang, Ying Lv, Tengqiang Wang, Xiaohui Wang, Huanke Cheng

“…In this paper, a new manifold learning method (Mass Laplacian Discriminant Analysis, MLDA) is proposed. …”
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A Midcourse Guidance Method Combined with Trajectory Prediction for Antinear-Space-Gliding Vehicles by JiaQing Wan, Qian Zhang, Hao Zhang, JiaNing Liu

“…In the midcourse guidance method, the prediction of the target trajectory is introduced, and the zero-control interception manifold with intersection angle constraints is designed as the midcourse guidance terminal constraint. …”
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Sequences of 6d SCFTs on generic Riemann surfaces by Shlomo S. Razamat, Evyatar Sabag

“…Again, the suggestion is checked by matching anomalies, symmetries and the conformal manifold to expectations from six dimensions. These constructions thus give us a detailed understanding of compactifications of two sequences of six dimensional SCFTs to four dimensions.…”
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Second-Order Elliptic Equation with Singularities by Hichem Boughazi

“…On the compact Riemannian manifold of dimension n≥5, we study the existence and regularity of nontrivial solutions for nonlinear second-order elliptic equation with singularities. …”
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Pointwise Hemislant Submanifolds in a Complex Space Form by Noura Alhouiti

“…In this paper, pointwise hemislant submanifolds were introduced in a Kahler manifold. The integrability conditions for the distributions which are involved in the definition of a pointwise hemislant submanifold were investigated. …”
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On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent by Mohammed El Mokhtar ould El Mokhtar

“…By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial solutions.…”
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Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping by Ming Cheng

“…Via variation approach and the Nehari manifold argument, we obtain two types of solution: periodic ground state and localized ground state. …”
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Globality-Locality Preserving Maximum Variance Extreme Learning Machine by Yonghe Chu, Hongfei Lin, Liang Yang, Yufeng Diao, Dongyu Zhang, Shaowu Zhang, Xiaochao Fan, Chen Shen, Deqin Yan

“…This method can preserve the global and local manifold structures of data to optimize the projection direction of the classifier. …”
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Derivations of a Sullivan Model and the Rationalized G-Sequence by Oteng Maphane

“…Let Gk,nℂ for 2≤k<n denote the Grassmann manifold of k-dimensional vector subspaces of ℂn. In this paper, we compute, in terms of the Sullivan models, the rational evaluation subgroups and, more generally, the G-sequence of the inclusion G2,nℂ↣G2,n+rℂ for r≥1.…”
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