Fairy circles and temporal periodic patterns in the delayed plant-sulfide feedback model by Xin Wei, Jianjun Paul Tian, Jiantao Zhao

“…By deriving the normal form on the center manifold, we obtained the formulas determining the properties of the Hopf bifurcations. …”
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Rotating Machine Fault Diagnosis Based on Optimal Morphological Filter and Local Tangent Space Alignment by Shaojiang Dong, Lili Chen, Baoping Tang, Xiangyang Xu, Zhengyuan Gao, Juan Liu

“…In order to identify the fault of rotating machine effectively, a new method based on the morphological filter optimized by particle swarm optimization algorithm (PSO) and the nonlinear manifold learning algorithm local tangent space alignment (LTSA) is proposed. …”
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L’autobiographie ou l’art de la vie dans A Small Boy and Others de Henry James by Thomas Constantinesco, Agnès Derail

“…Yet in withdrawing from his own life, James leaves it to be re-imagined and recreated, so that his evasion from life allows him to develop his capacity for wonder and to become a vessel for the manifold impressions to which his consciousness is exposed and which he transforms into a series of scenes that make up his life. …”
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Structured Dynamics in the Algorithmic Agent by Giulio Ruffini, Francesca Castaldo, Jakub Vohryzek

“…This dual constraint on the agent’s constitutive parameters and dynamical repertoire enforces a hierarchical organization consistent with the manifold hypothesis in the neural network. Our findings bridge perspectives from algorithmic information theory (Kolmogorov complexity, compressive modeling), symmetry (group theory), and dynamics (conservation laws, reduced manifolds), offering insights into the neural correlates of agenthood and structured experience in natural systems, as well as the design of artificial intelligence and computational models of the brain.…”
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Nature and culture intertwined or redefined? On the challenges of cultural primatology and sociocultural anthropology by Gabriela Daly Bezerra de Melo

“…Recent sociocultural anthropology and social studies of science have revisited the historical abyss between Nature and Culture and have shed light on the manifold conceptualizations of both terms across human cultures. …”
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Bifurcation Analysis and Chaos Control in a Discrete Epidemic System by Wei Tan, Jianguo Gao, Wenjun Fan

“…By using the center manifold theorem and bifurcation theorem in the interior R+2, the specific conditions for the existence of flip bifurcation and Neimark-Sacker bifurcation have been derived. …”
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On stabilization of magnetically charged brane shell and over-extremality by Sohei Tsukahara

“…Abstract In string theory, we can geometrically realize a metastable state by wrapping D5-branes and anti D5-branes to a singular manifold. We consider wrapping D3-branes to the internal space in this setup. …”
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Output Tracking via Adaptive Backstepping Higher Order Integral Sliding Mode for Uncertain Nonlinear Systems by M. Pervaiz, Q. Khan, A. I. Bhatti, S. A. Malik

“…Since, this strategy relies on an integral manifold of the adaptively developed variables, therefore, the reaching phase is eliminated in this approach, which is an advantage in term of robustness. …”
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A Quantum Space behind Simple Quantum Mechanics by Chuan Sheng Chew, Otto C. W. Kong, Jason Payne

“…This analysis, founded firmly on known physics, provides a quantum picture of physical space beyond that of a finite-dimensional manifold and provides a crucial first link for any theoretical model of quantum space-time at levels beyond simple quantum mechanics. …”
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Cross-border Education: Students Exchange Programme Participants’ Perspective on ERASMUS by S. Yu. Pavlina

“…Internationalization in higher education is manifold, student academic mobility being one of its manifestations. …”
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Notes on Conservation Laws, Equations of Motion of Matter, and Particle Fields in Lorentzian and Teleparallel de Sitter Space-Time Structures by Waldyr A. Rodrigues, Samuel A. Wainer

“…We discuss the physics of interacting fields and particles living in a de Sitter Lorentzian manifold (dSLM), a submanifold of a 5-dimensional pseudo-Euclidean (5dPE) equipped with a metric tensor inherited from the metric of the 5dPE space. …”
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Rolling Bearing Degradation State Identification Based on LPP Optimized by GA by He Yu, Hong-ru Li, Zai-ke Tian, Wei-guo Wang

“…In view of the problem that the actual degradation status of rolling bearing has a poor distinguishing characteristic and strong fuzziness, a rolling bearing degradation state identification method based on multidomain feature fusion and dimension reduction of manifold learning combined with GG clustering is proposed. …”
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Bile Acids and Their Value for Central Nervous System by Yu. O. Shulpekova, P. E. Tkachenko, E. N. Shirokova, I. V. Damulin

“…Presence of bile acid membrane and nuclear receptors and their activation role in mediating manifold metabolic processes have been established in various organs and tissues. …”
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Study on the Customization of Robotic Arms for Spray-Coating Production Lines by Chao-Chung Liu, Jun-Chi Liu, Chao-Shu Liu

“…Kinematics analysis is conducted, followed by trajectory-tracking experiments using the manifold deformation control method. Results from simulation and real experiments show minimal error in tracking, demonstrating the effectiveness of the control method. …”
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Mathematical Modeling of Coccidiosis Dynamics in Chickens with Some Control Strategies by Yustina A. Liana, Mary C. Swai

“…Also, the nature of the bifurcation and its implications for disease prevention are investigated through the application of the center manifold theory. On the other hand, sensitivity analysis is carried out to investigate the parameters that impact the transmission of coccidiosis disease using the normalized forward sensitivity index. …”
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The geographical digital divide in broadband access and governmental policies in Japan: three case studies by Yoshio Arai, Sae Naganuma

“…First, integrating communication infrastructures with manifold digital services, such as cable television services and broadband access, is an effective way to extend broadband to less-favoured areas. …”
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Bifurcation Analysis of a Discrete Basener–Ross Population Model: Exploring Multiple Scenarios by A. A. Elsadany, A. M. Yousef, S. A. Ghazwani, A. S. Zaki

“…These criteria are derived using the center manifold theorem and bifurcation theory. Furthermore, we demonstrated the existence of codimension-two bifurcations characterized by 1:2, 1:3, and 1:4 resonances, emphasizing the model’s complex dynamical structure. …”
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Robust Decentralized Formation Tracking Control of Complex Multiagent Systems by Naveed Mazhar, Rameez Khan, Abid Raza, Fahad Mumtaz Malik, Raja Amer Azim, Hameed Ullah

“…Furthermore, in the proposed work, the linear sliding manifold is employed to mitigate the singularity problem that occurs in the conventional robust finite-time methods, i.e., terminal sliding mode-based control schemes. …”
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Parallel-mode EPR spectra of the hexaaqua manganese(II) Ion in tetrahedral symmetry by Juel Henrichsen, Margrete, Bendix, Jesper, Weihe, Høgni

“…This rare situation enables that the line positions as well as the intensities in the parallel-mode EPR spectra can be modelled with a simple three-parameter cubic-symmetry spin Hamiltonian, including the isotropic Zeeman interaction ($g$) pertinent to the $S={5}/{2}$ electronic spin, the isotropic hyperfine interaction ($A$), between the electronic spin and the $I={5}/{2}$ nuclear spin, and the cubic splitting ($a$) of the $S={5}/{2}$ manifold. A simple formalism, based on perturbation theory to grossly account for the observed intensities, is presented. …”
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Biodiesel Production by Reactive Flash: A Numerical Simulation by Alejandro Regalado-Méndez, Sigurd Skogestad, Reyna Natividad, Rubí Romero

“…Results of this study show the existence of turning points, leading to a unique bubble point manifold, (xBiodiesel,T)=(0.46,478.41 K), which is a globally stable flashing operation. …”
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