#' @title General symmetric map
#' @description a generalization of a one dimensional map, which incorporates (among others) the lorenz-, logistic and cubeMap
#' @param x input value for one iteration
#' @author J.C. Lemm, P.v.W. Crommelin
#' @references S. Sprott, Chaos and Time-series analysis
#' @param r control parameter
#' @param alpha exponent
#' @return The result of one single iteration
#' @export
gensymMap = function(x,r,alpha){
return(r*(1-(2*abs(x-0.5))^alpha))
}
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