Results 71 to 80 of about 64,085 (304)
Stabilization of nonlinear systems via the center manifold approach
, 2020 This paper considers the problem of the stabilization of affine nonlinear control systems. First, we assume that the systems under investigation are of the generalized Byrnes-Isidori normal form.
Daizhan Cheng, Yuqian Guo
core
Center Manifold Dynamics in Randomly Coupled Oscillators and in Cochlea
, 2019 In dynamical systems theory, a fixed point of the activity is called nonhyperbolic if the linearization of the system around the fixed point has at least one eigenvalue with zero real part.
Moirogiannis, Dimitrios
core +1 more source
Molecular Oncology, EarlyView.Circulating tumor cells (CTCs) and plasma cell‐free DNA (cfDNA) were analyzed to detect ESR1 mutations and methylation in patients with advanced breast cancer. CTC‐derived DNA showed higher sensitivity for mutation detection and revealed complementary genetic and epigenetic alterations, highlighting the added value of CTC analysis for understanding ...
Dimitra Stergiopoulou +12 more
wiley +1 more source
A Center-Unstable Manifold Theorem for Parametrically Excited Surface Waves
, 1996 When fluid in a rectangular tank sits upon a platform which is oscillating with sufficient amplitude, surface waves appear in the \u27\u27Faraday resonance.\u27\u27 Scientists and engineers have done bifurcation analyses which assume that there is a ...
Turyn, Larry, Lawrence Turyn
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Interpreting the effects of DNA polymerase variants at the structural level
Molecular Oncology, EarlyView.Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi +7 more
wiley +1 more source
Bogdanov-Takens bifurcation for neutral functional differential equations
Electronic Journal of Differential Equations, 2013 In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity.
Jianzhi Cao, Rong Yuan
doaj
Bifurcations and the Center Manifold Theorem
, 2005 This paper discusses how one can obtain a qualitative analysis of systems of differential equations when ordinary methods fail, using what we call a center manifold.
Goldberg, Rachel
core
Molecular Oncology, EarlyView.This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
wiley +1 more source
Entropy, 2014 Information geometry studies the dually flat structure of a manifold, highlighted by the generalized Pythagorean theorem. The present paper studies a class of Bregman divergences called the (ρ,τ)-divergence.
Shun-ichi Amari
doaj +1 more source
Analytic Extension of Riemannian Analytic Manifolds and Local Isometries
Mathematics, 2020 This article deals with a locally given Riemannian analytic manifold. One of the main tasks is to define its regular analytic extension in order to generalize the notion of completeness.
Vladimir A. Popov
doaj +1 more source