Stability of differential equations associated with a class of one   dimensional maps
  Discrete time evolution of one-dimensional maps is embedded in continuous time by truncating the Taylor series expansion of the time evolution operator to a finite order N. Truncations with N > 4 leads to unconditional instability. Generalization of the truncated models with N = 3 and 4 shows dynamical behaviour characteristic of systems with a riddled parameter space. 
M. C. Valsakumar, A. Rajan Nambiar and P. Rameshan