Results 81 to 90 of about 16,203 (266)
We investigate the usefulness of deep learning when applied to both control theory and partial differential equations (PDEs). We will develop new network architectures and methodologies to approach the solving of high-dimensional problems.
Gaby, Nathan
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Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Existence of piecewise affine Lyapunov functions in two dimensions
, 2010 In Marinosson (2002) [10], a method to compute Lyapunov functions for systems with asymptotically stable equilibria was presented. The method uses finite differences on finite elements to generate a linear programming problem for the system in question ...
Giesl, Peter +5 more
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Quantitative mixing results and inner functions [PDF]
, 2006 19 pages, no figures.-- MSC2000 codes: 30D05, 30D50, 37A05, 37A25, 37F10, 28D05, 11K55.MR#: MR2262783 (2007j:37003)Zbl#: Zbl 1125.30019We study in this paper estimates on the size of the sets of points which are well approximated by orbits of other ...
D. Pestana +5 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley +1 more source
Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems
Abstract and Applied Analysis, 2013 We address the problem of asymptotic stability and region-of-attraction analysis of nonlinear dynamical systems. A hybrid symbolic-numeric method is presented to compute exact Lyapunov functions and exact estimates of regions of attraction of nonlinear ...
Min Wu, Zhengfeng Yang, Wang Lin
doaj +1 more source
MODIFIED ALGORITHM FOR DETERMINATION OF FULL STABILITY AREAS IN NONSTATIONARY NONLINEAR SYSTEMS
Российский технологический журнал, 2018 The paper proposes a numerical algorithm for constructing Lyapunov spline functions for investigating the absolute stability of nonlinear nonstationary systems.
V. P. Berdnikov
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Carbon Management, 2020 This is the first study that analyses the interactive relationships of carbon dioxide (CO2) emissions between China and Taiwan, two industrial dependent regions, by applying Lotka-Volterra equations.
Bi-Huei Tsai, Cheng-Chi Chen
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Continuous Uniform Finite Time Stabilization of Planar Controllable Systems [PDF]
, 2015 Continuous homogeneous controllers are utilized in a full state feedback setting for the uniform finite time stabilization of a perturbed double integrator in the presence of uniformly decaying piecewise continuous disturbances.
Oza, HB +5 more
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T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
wiley +1 more source