The Thiele-Wilson system, a simple model of a linear, triatomic molecule, has been studied extensively in the past. The system exhibits complex molecular dynamics including dissociation, periodic trajectories and bifurcations. In addition, it has for a long time been suspected to be chaotic, but this has never been proved with mathematical rigor. In this paper, we present numerical results that...

Uncertainty of measuring complex-valued physical quantities can be described by complex sets. These sets can have complicated shapes, so we would like to nd a good approximating family of sets. Which approximating family is the best? We reduce the corresponding optimization problem to a geometric one: namely, we prove that, under some reasonable conditions, an optimal family must be shift-, rot...

bilevel linear programming  is a decision making problem with a two-level decentralized organization. the textquotedblleft leadertextquotedblright~ is in the upper level and the textquotedblleft followertextquotedblright, in the lower. making a decision at one level affects that at the other one. in this paper, bilevel linear programming  with inexact parameters has been studied and a method is...

In recent years, there has been an increase usage among scientists and engineers to apply wavelet technique to solve both linear and nonlinear problems [1-5]. The main advantage of the wavelet technique is its ability to transform complex problems into a system of algebraic equations. The overview of this method can be found in [6-15]. In this research, an integro-differential equation which de...

Quantifying extra functions, herein referred to as outcome over optimal solutions of an optimization problem can provide decision makers with additional information on a system. This bears more importance when the is subject uncertainty in input parameters. In this paper, we consider linear programming problems which parameters are described by real-valued intervals, and address range finding f...