Browsing by Subject "Mathematical formulation"

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Ambiguities in input-output behavior of driven nonlinear systems close to bifurcation

Reit, Marco; Berens, Michael; Mathis, Wolfgang (Warsaw : De Gruyter Open Ltd, 2016)

Since the so-called Hopf-type amplifier has become an established element in the modeling of the mammalian hearing organ, it also gets attention in the design of nonlinear amplifiers for technical applications. Due to its ...
Analysis of a two-phase model describing the growth of solid tumors

Escher, Joachim; Matioc, Anca-Voichita (Cambridge : Cambridge University Press, 2013)

In this paper we consider a two-phase model describing the growth of avascular solid tumors when taking into account the effects of cell-to-cell adhesion and taxis due to nutrient. The tumor is surrounded by healthy tissue ...
On a nonlinear rod exhibiting only axial and bending deformations: mathematical modeling and numerical implementation

Gebhardt, Cristian Guillermo; Romero, Ignacio (Wien ; New York, NY : Springer, 2021)

In this work, we present the mathematical formulation and the numerical implementation of a new model for initially straight, transversely isotropic rods. By adopting a configuration space that intrinsically avoids shear ...

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