Screen conformal half-lightlike submanifolds by K. L. Duggal, B. Sahin

“…We study some properties of a half-lightlike submanifold M, of a semi-Riemannian manifold, whose shape operator is conformal to the shape operator of its screen distribution. …”
Get full text

Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay by Xiaohua Ding, Wenxue Li

“…Applying the theory of normal form and center manifold, we not only discuss the linear stability of the equilibrium and the existence of the local Hopf bifurcations, but also give the explicit algorithm for determining the direction of bifurcation and stability of the periodic solution of bifurcation.…”
Get full text

Hopf Bifurcation and Chaos of a Delayed Finance System by Xuebing Zhang, Honglan Zhu

“…Furthermore, formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem. Finally, numerical simulation results are presented to validate the theoretical analysis. …”
Get full text

Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay by Yuzhen Bai, Xiaopeng Zhang

“…Finally, the direction and stability of Hopf bifurcations are determined by normal form theory and center manifold reduction for partial functional differential equations.…”
Get full text

The Bifurcation of Two Invariant Closed Curves in a Discrete Model by Yingying Zhang, Yicang Zhou

“…The conditions for existence of these bifurcations are derived by using the center manifold and bifurcation theory. Numerical simulations and bifurcation diagrams exhibit the complex dynamical behaviors, especially the occurrence of two invariant closed curves.…”
Get full text

Some invariant theorems on geometry of Einstein non-symmetric field theory by Liu Shu-Lin, Xu Sen-Lin

“…It is shown that under the transformation TΛ:Uikℓ→U¯ikℓ≡Uikℓ+δiℓΛk−δkℓΛi, curvature tensor Skℓmi(U), Ricci tensor Sik(U), and scalar curvature S(U) are all invariant, where Λ=Λjdxj is a closed 1-differential form on an n-dimensional manifold M.…”
Get full text

Multiple Positive Solutions for Semilinear Elliptic Equations with Sign-Changing Weight Functions in ℝ𝑁 by Tsing-San Hsu

“…The study is based on the extraction of the Palais-Smale sequences in the Nehari manifold.…”
Get full text

« The Encantadas » ou le décompte du temps en archipel by Michel Imbert

“…This article endeavors to unravel the various strands or strata of time in Herman Melville’s novella, “The Encantadas,” and uncover the manifold layers of the text and its intertextual interplay. …”
Get full text

Seven-dimensional considerations of Einstein's connection. II. The recurrence relations of the second and third kind in 7-g-UFT by Mi Ae Kim, Keum Sook So, Chung Hyun Cho, Kyung Tae Chung

“…We present powerful recurrence relations of the second and third kind which hold in 7-dimensional Einstein's generalized Riemannian manifold X7. All considerations in this paper are restricted to the first and second classes of X7 only since the case of the third class, the simplest case, was already studied by many authors.…”
Get full text

The Strong Disjoint Blow-Up/Collapse Property by Héctor N. Salas

“…We introduce the Strong Disjoint Blow-up/Collapse property and prove that if satisfy this new property, then they have a dense linear manifold of disjoint hypercyclic vectors. This allows us to give a partial affirmative answer to one of their questions.…”
Get full text

The Hopf Bifurcation for a Predator-Prey System with -Logistic Growth and Prey Refuge by Shaoli Wang, Zhihao Ge

“…Time delay could be considered as a bifurcation parameter for DDEs, and using the normal form theory and the center manifold reduction, explicit formulae are derived to determine the direction of bifurcations and the stability and other properties of bifurcating periodic solutions. …”
Get full text

Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate by Zizhen Zhang, Limin Song

“…In succession, direction and stability of the Hopf bifurcation when the two delays are not equal are determined by using normal form theory and center manifold theorem. Finally, some numerical simulations are also carried out to justify the obtained theoretical results.…”
Get full text

Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay by Jinhu Xu, Yicang Zhou

“…Moreover, the direction of the Hopf bifurcation and the stability of the periodic solutions are investigated by normal form and center manifold theory.Numerical simulations are done to explore the rich dynamics,including stability switches, Hopf bifurcations, and chaotic oscillations.…”
Get full text

Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System by Xia Liu, Jinling Wang

“…By using the center manifold reduction, the normal form theory, and the formulae developed by Xu and Huang, 2008 and Qiao et al., 2010, the normal forms and the versal unfoldings for this singularity are presented. …”
Get full text

Measures of a Mission-Oriented Structural Policy — Considerations to the 28th Report on German Subsidies by Ricarda Kampmann

“…Abstract The landscape of German subsidies is manifold. The regular report about subsidies contains information about aims, time limits and evaluations of each financial aid and tax relief plan. …”
Get full text

Źródła duchowości służebnicy Bożej Dorothy Day by Wojciech Zyzak

“…These sources, in a spiritual aspect, form the foundation of manifold schools of spirituality which Dorothy dealt with. …”
Get full text

Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response by Deniu Yang, Lihan Liu, Hongyong Wang

“…The methods used to prove the result are the shooting argument and the invariant manifold theory.…”
Get full text

The Extended Hamiltonian Algorithm for the Solution of the Algebraic Riccati Equation by Zhikun Luo, Huafei Sun, Xiaomin Duan

“…Specifically, the extended Hamiltonian algorithm based on manifold of positive definite symmetric matrices is provided. …”
Get full text

Les paysages de champs surélevés de Guyane française : un patrimoine bioculturel menacé by Stéphen Rostain, Doyle McKey

“…In the case of French Guiana, few of the present-day inhabitants are aware of the existence of these vestiges, and those who are have little appreciation of their significance. Thus the manifold dangers this biocultural heritage faces have largely gone unnoticed and unchallenged, and few raised-field vestiges are included in protected areas. …”
Get full text

Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple Delays by Zaitang Huang, Weihua Lei

“…Firstly, super- and subcritical bifurcations are determined by the signs of the Poincaré-Lyapunov coefficients of the center manifold scalar bifurcation equations. Secondly, we explore the stochastic bifurcation of the catalytic CO oxidation on Ir(111) surfaces with multiple delays according to the qualitative changes in the invariant measure, the Lyapunov exponent, and the stationary probability density of system response. …”
Get full text