Analytical estimations of limit cycle amplitude for delay-differential equations [PDF]
, 2016 The amplitude of limit cycles arising from Hopf bifurcation is estimated for nonlinear delay-differential equations by means of analytical formulas. An improved analytical estimation is introduced, which allows more accurate quantitative prediction of ...
Insperger, Tamás +2 more
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Double scale analysis of periodic solutions of some non linear vibrating systems [PDF]
, 2013 We consider {\it small solutions} of a vibrating system with smooth non-linearities for which we provide an approximate solution by using a double scale analysis; a rigorous proof of convergence of a double scale expansion is included; for the forced ...
Brahim, Nadia Ben, Rousselet, Bernard
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Large time approximation for shearing motions [PDF]
, 2016 Small- and large-amplitude oscillatory shear tests are widely used by experimentalists to measure, respectively, linear and nonlinear properties of viscoelastic materials.
Saccomandi, Giuseppe, Vergori, Luigi
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Self-consistent field theory for a polymer brush. Part I: Asymptotic analysis in the strong-stretching limit [PDF]
, 2019 In this study we consider the self-consistent field theory for a dry, in- compressible polymer brush, densely grafted on a substrate, describing the average segment density of a polymer in terms of an effective chemical potential for the interaction ...
Münch, Andreas, Wagner, Barbara
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A novel model for one-dimensional morphoelasticity. Part II - Application to the contraction of fibroblast-populated collagen lattices [PDF]
, 2011 Fibroblast-populated collagen lattices are commonly used in experiments to study the interplay between fibroblasts and their pliable environment. Depending on the method by which\ud they are set, these lattices can contract significantly, in some cases ...
Hall, C. L. +3 more
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Sharp Interface Limit for the Cahn-Larch\'e System [PDF]
, 2014 We prove rigorously the convergence of the Cahn-Larch\'e system, which is a Cahn-Hilliard system coupled with the system of linearized elasticity, to a modified Hele-Shaw problem as long as a classical solution of the latter system exists.
Abels, Helmut, Schaubeck, Stefan
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Approximate Approach to the Das Model of Fractional Logistic Population Growth [PDF]
, 2010 In this article, the analytical method, Homotopy perturbation method (HPM) has been successfully implemented for solving nonlinear logistic model of fractional order. The fractional derivatives are described in the Caputo sense.
Das, S., Gupta, P. K., Vishal, K.
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Application of the optimal homotopy asymptotic method for solving the Cauchy reaction-diffusion problem [PDF]
, 2013 In this paper, the optimal homotopy asymptotic method is applied on the Cauchy reaction-diffusion problems to check the effectiveness and performance of the method.
Gharbavy, S., Jafari, H.
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Two Numerical Algorithms for Solving a Partial Integro-Differential Equation with a Weakly Singular Kernel [PDF]
, 2012 Two numerical algorithms based on variational iteration and decomposition methods are developed to solve a linear partial integro-differential equation with a weakly singular kernel arising from viscoelasticity.
Hrynkiv, Volodymyr +2 more
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Solutions of Nonlinear Second Order Multi-point Boundary Value Problems by Homotopy Perturbation Method [PDF]
, 2010 In this paper, we present an algorithm for the numerical solution of the second order multi- point boundary value problem with suitable multi boundary conditions.
Das, S., Kumar, Sunil, Singh, O. P.
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