نتایج جستجو برای: arc length continuation method

تعداد نتایج: 1935527  

Journal: :Applied Mathematical Modelling 2021

Inspired by the application of differential correction to initial-value problems find periodic orbits in both autonomous and non-autonomous dynamical systems, here is applied boundary-value problems. As a numerical demonstration, snap-through buckling circular arches structural mechanics are selected as examples. Due complicated geometrical nonlinearity such problems, limit points turning might...

Journal: :Journal of Sound and Vibration 2023

In this paper, an extensive analysis of a stochastically excited one-degree-of-freedom mechanical system with cubic nonlinearity is presented. This motivated by the need for realistic bifurcation analyses stochastic dynamical systems, given that many physical applications contain significant time-varying uncertainty can lead to drastically different solutions from deterministic case. The propos...

Journal: :International Journal of Shape Modeling 1996
Giulio Casciola Serena Morigi

In geometric design, it is often useful to be able to give an arc length reparametrization for NURBS curves, that keeps the curve a NURBS too. Since parametric rational curves, except for straight lines, cannot be parametrized by arc length, we developed a numerical method of approximating the arc length parametrization function. In this way it was possible to obtain a good parametrization of a...

Journal: :Proceedings of the American Mathematical Society 2015

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه شیراز - دانشکده علوم 1391

in this thesis protic and aprotic ammonium-based ionic liquids were synthesized and their surface tensions were measured in the range of 298-373k. the protics are alkyl ammonium-based ils with the carboxylate (formate, acetate, propionate) anion and aprotics are quaternary ammonium-based ils with bis(trifluoromethylsulfonyl)imide anion. capillary rise method was used for surface tension measure...

Journal: :CoRR 2018
John Billingham

We study the equilibrium solutions of three player Kuhn poker with N > 3 cards. We compute these solutions as a function of the initial pot size, P , using a novel method based on regularizing the system of polynomial equations and inequalities that defines the solutions, and solving the resulting system of nonlinear, algebraic equations using a combination of Newton’s method and arc-length con...

2009
Victor Pereyra Michael Saunders Jose Castillo

We consider constrained biobjective optimization problems. One of the extant issues in this area is that of uniform sampling of the Pareto front. We utilize equispacing constraints on the vector of objective values, as discussed in a previous paper dealing with the unconstrained problem. We present a direct and a dual formulation based on arc-length homotopy continuation and illustrate the dire...

2003
Joakim Möller Olof Runborg Panayotis G. Kevrekidis Kurt Lust Ioannis G. Kevrekidis

We propose a computer-assisted approach to studying the effective continuum behavior of spatially discrete evolution equations. The advantage of the approach is that the “coarse model” (the continuum, effective equation) need not be explicitly constructed. The method only uses a time-integration code for the discrete problem and judicious choices of initial data and integration times; our bifur...

Journal: :Nonlinear Dynamics 2021

We herein propose an algorithm for tracking smooth bifurcations of nonlinear systems with interdependent parameters. The approach is based on a complex formulation the well-known harmonic balance method (HBM). Hill’s used to assess stability computed forced response curves, and minimally extended system built allow parametric continuation detected bifurcation points. feasibility coupling HBM-ba...

Journal: :Mathematical and Computer Modelling 2013
Víctor Pereyra Michael Saunders José Castillo

We consider constrained biobjective optimization problems. One of the extant issues in this area is that of uniform sampling of the Pareto front. We utilize equispacing constraints on the vector of objective values, as discussed in a previous paper dealing with the unconstrained problem. We present a direct and a dual formulation based on arc-length homotopy continuation and illustrate the dire...

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