Asymptotic cauchy gains: Definitions and small-gain principle [PDF]
arXiv, 2001 A notion of "asymptotic Cauchy gain" for input/output systems, and an associated small-gain principle, are introduced. A Lyapunov-like characterization allows the computation of these gains for state-space systems, and the formulation of sufficient conditions insuring the lack of oscillations and chaotic behaviors in a wide variety of cascades and ...
arxiv
A low-cost, sensitive and specific PCR-based tool for rapid clinical detection of HLA-B*35 alleles associated with delayed drug hypersensitivity reactions. [PDF]
HLA, 2022 Li Y +5 more
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Multistability in Monotone I/O Systems, Preliminary Report [PDF]
arXiv, 2002 We extend the setup in our previous paper to deal with the case in which more than one steady state may exist in feedback configurations. This provides a foundation for the analysis of multi-stability and hysteresis behaviour in high dimensional feedback systems.
arxiv
Stability of translating solutions to mean curvature flow [PDF]
arXiv, 2005 We prove stability of rotationally symmetric translating solutions to mean curvature flow. For initial data that converge spatially at infinity to such a soliton, we obtain convergence for large times to that soliton without imposing any decay rates.
arxiv
Spatial dynamics of a viral infection model with immune response and nonlinear incidence. [PDF]
Z Angew Math Phys, 2023 Zheng T, Luo Y, Teng Z.
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The WKB method and geometric instability for non linear Schrodinger equations on surfaces [PDF]
arXiv, 2006 In this paper we are interested in constructing WKB approximations for the non linear cubic Schr\"odinger equation on a Riemannian surface which has a stable geodesic. These approximate solutions will lead to some instability properties of the equation.
arxiv
Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination. [PDF]
Acta Math Appl Sin, 2022 Feng XM, Liu LL, Zhang FQ.
europepmc +1 more source
European Journal of Applied MathematicsThis paper is focused on the existence and uniqueness of nonconstant steady states in a reaction–diffusion–ODE system, which models the predator–prey interaction with Holling-II functional response.
Gaihui Guo +3 more
doaj +1 more source
Geometric and projective instability for the Gross-Pitaevski equation [PDF]
arXiv, 2006 Using variational methods, we construct approximate solutions for the Gross-Pitaevski equation which concentrate on circles in $\R^3$. These solutions will help to show that the $L^2$ flow is unstable for the usual topology and for the projective distance.
arxiv
Mass conservative reaction-diffusion systems describing cell polarity. [PDF]
Math Methods Appl Sci, 2021 Latos E, Suzuki T.
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