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Logistic map is one of the simplest chaotic maps, described by (1).
In this paper, the identification of a class of nonlinear systems which admits input output maps described by a finite degree Volterra series is considered.
Most of them are in fact either 1D functions assuming an inverse linear mapping given by two parameters (a, b or A, E 2, see Eq. 3), without taking into account that a 2D generalization is not trivial, or they are intrinsically flat maps described by an analytical function.
Our map construction was based on the same two reciprocal interspecific BC1 populations from crosses between I. brevicaulis and I. fulva utilized to generate the dominant IRRE-based maps described by Bouck et al. [ 14].
Eight peach maps, described by Horn et al. [ 2], Zhebentyayeva et al. [ 3], and Sosinski et al. [ 4], are available, all use different parents and different markers and/or marker classes.
The alignment with maps described by Chancerel et al. [ 44], based on common SSRs, EST-Ps and SNPs (Table 2), made it possible to bring together some LGs resulting into 13 LGs for C14 and 14 LGs for C15 (Table 1), close to the 12 chromosomes of the haploid P. pinaster genome [ 89].
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These site effects are incorporated into the model through a local parameter, which can be estimated from density samples collected from trees or based on the location of the stand, from the national wood density index map described by Palmer et al. (2013).
QTL analyses were performed using the linkage map described by Hudson et al. (2012).
The DH lines were genotyped with DArT markers, and QTL mapping was done based on the integrated consensus linkage map described by Alheit et al. (2012).
The DH lines were genotyped with DArT markers and QTL mapping was done based on the integrated consensus linkage map described by Alheit et al. [ 12].
QTL analysis was performed using the software package MapQTL®, version 5.0 [ 79] and the genetic map described by Marone et al. [ 19, 20].
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