43,810 research outputs found
Complete set of invariants for a Bykov attractor
In this paper we consider an attracting heteroclinic cycle made by a
1-dimensional and a 2-dimensional separatrices between two hyperbolic saddles
having complex eigenvalues. The basin of the global attractor exhibits historic
behaviour and, from the asymptotic properties of these non-converging time
averages, we obtain a complete set of invariants under topological conjugacy in
a neighborhood of the cycle. These invariants are determined by the quotient of
the real parts of the eigenvalues of the equilibria, a linear combination of
their imaginary components and also the transition maps between two cross
sections on the separatrices.Comment: 23 pages, 4 figure
Estimation of Cost Allocation Coefficients at the Farm Level Using an Entropy Approach
This paper aims to estimate the farm cost allocation coefficients from whole farm input costs. An entropy approach was developed under a Tobit formulation and was applied to a sample of farms from the 2004 FADN data base for Alentejo region, Southern Portugal. A Generalized Maximum Entropy model and Cross Generalized Entropy model were developed to the sample conditions and were tested. Model results were assessed in terms of their precision and estimation power and were compared with observed data. The entropy approach showed to be a flexible and valid tool to estimate incomplete information, namely regarding farm costs.Generalized maximum entropy; costs; estimation; Alentejo, FADN.
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