Characterization of the dynamic behavior of nonlinear biosystems in the presence of model uncertainty using singular invariance PDEs: Application to immobilized enzyme and... by Nikolaos Kazantzis, Vasiliki Kazantzi

Subjects: “…nonlinear biosystems; nonlinear dynamics; slow manifolds; singular pdes; immobilized enzyme bioreactors; model uncertainty; perturbations.…”
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On locally conformal Kähler space forms by Koji Matsumoto

Subjects: “…l. c. K-manifolds…”
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Real structures on primary Hopf surfaces by Khaled Zahraa

“…Complex Manifolds…”
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Biharmonic curves along Riemannian submersions by Gizem Köprülü Karakaş, Bayram Şahin

“…We first consider a Riemannian submersion from a Riemannian manifold onto Riemannian manifold and investigate under what conditions a biharmonic curve on the total manifold is transformed to a biharmonic curve on the base manifold. …”
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Connectivity properties for subspaces of function spaces determined by fixed points by Daciberg L. Gonçalves, Michael R. Kelly

“…We also prove this result when the manifold is a sphere of dimension 1, 3, or 7.…”
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Complete lift of a structure satisfying FK−(−)K+1F=0 by Lovejoy S. Das

“…The idea of f-structure manifold on a differentiable manifold was initiated and developed by Yano [1], Ishihara and Yano [2], Goldberg [3] and among others. …”
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Local subhomeotopy groups of bounded surfaces by David J. Sprows

“…Let Mn denote the 2-dimensional manifold with boundary obtained by removing the interiors of n disjoint closed disks from a closed 2-manifold M and let Mn,r denote the manifold obtained by removing r distinct points from the interior of Mn. …”
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Lithium-Ion Battery Capacity Estimation: A Method Based on Visual Cognition by Yujie Cheng, Laifa Tao, Chao Yang

“…Similarly, inspired by the HVS manifold sensing characteristic, the Laplacian eigenmap manifold learning method, which is considered to reveal the evolutionary law of battery performance degradation within a low-dimensional intrinsic manifold, is used to further obtain a low-dimensional feature vector. …”
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Dynamic Characteristics Analysis and Applications of Electromagnetic Environment Based on Group Perception by Peiwei Gao, Yongfeng Zhi, Chufeng Hu

“…The probability density function of the field distribution measured at any moment is mapped on to a statistical manifold. The “information distance” between the probability density functions of measurement samples at different moments of the statistical manifold is solved to reveal the changes in the whole electromagnetic environment. …”
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Inflationary Universe from Anomaly-Free FR-Gravity by Aroonkumar Beesham, Kazuharu Bamba

“…By adding a three-dimensional manifold to an eleven-dimensional manifold in supergravity, we obtain the action of FR-gravity and find that it is anomaly-free. …”
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Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups by Dave Pandres

“…We begin by recalling a group which is an enlargement of the diffeomorphisms on an ordinary manifold. We used this larger group to unify the gravitational and electroweak fields, which are mediated by bosons. …”
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Poisson structures on cotangent bundles by Gabriel Mitric

“…Finally, for a 2-form ω on a Riemannian manifold, we study the conditions for some associated 2-forms of ω on T∗M to define Poisson structures on cotangent bundles.…”
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Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean by Arthur D. Gorman, Huijun Yang

“…However, such a method becomes invalid near the caustics. Here, the Lagrange manifold formalism is used to extend this analysis to include the caustic regions. …”
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On a structure satisfying FK−(−)K+1F=0 by Lovejoy S. Das

“…In this paper we shall obtain certain results on the structure defined by F(K,−(−)K+1) and satisfying FK−(−)K+1F=0, where F is a non null tensor field of the type (1,1) Such a structure on an n-dimensional differentiable manifold Mn has been called F(K,−(−)K+1) structure of rank r, where the rank of F is constant on Mn and is equal to r In this case Mn is called an F(K,−(−)K+1) manifold. …”
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Bifurcation of Nongeneric Homoclinic Orbit Accompanied by Pitchfork Bifurcation by Fengjie Geng, Song Li

“…., the orbit comes from the equilibrium along the unstable manifold instead of the center manifold) connecting a nonhyperbolic equilibrium is investigated, and the nonhyperbolic equilibrium undergoes a pitchfork bifurcation. …”
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Riemannian Gradient Algorithm for the Numerical Solution of Linear Matrix Equations by Xiaomin Duan, Huafei Sun, Xinyu Zhao

“…A Riemannian gradient algorithm based on geometric structures of a manifold consisting of all positive definite matrices is proposed to calculate the numerical solution of the linear matrix equation Q=X+∑i=1mAiTXAi. …”
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Burgers’ Equations in the Riemannian Geometry Associated with First-Order Differential Equations by Z. Ok Bayrakdar, T. Bayrakdar

“…We see that an integral manifold of any PDE defines intrinsically flat and totally geodesic submanifold.…”
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Orthopoxvirus Genes That Mediate Disease Virulence and Host Tropism by Sergei N. Shchelkunov

“…When understanding the mechanisms used by viruses to overcome manifold defense systems of the animal organism, represented by molecular factors and cells of the immune system, we would not only comprehend better but also discover new patterns of organization and function of these most important reactions directed against infectious agents. …”
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The Aronsson Equation, Lyapunov Functions, and Local Lipschitz Regularity of the Minimum Time Function by Pierpaolo Soravia

“…We discuss how C1-supersolutions of (AE) become special Lyapunov functions of symmetric control systems, and allow to find continuous feedbacks driving the system to a target in finite time, except on a singular manifold. A consequence is a simple proof that the corresponding minimum time function is locally Lipschitz continuous away from the singular manifold, despite classical results showing that it should only be Hölder continuous unless appropriate conditions hold. …”
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Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System by Xie Zheng, Xie Jian, Du Wenzheng, Cheng Hongjie

“…The new control scheme is characterized by a nonlinear integral sliding manifold which inherits the desired properties of the integral sliding manifold, such as robustness to system external disturbance. …”
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