Chaotic Properties of Subshifts Generated by a Nonperiodic Recurrent Orbit
Dan Liu · Journal of Shenyang Jianzhu University · 2009
In this paper,an provided example responds to the problems whether the subshift generated by a nonperiodic recurrent orbit contains an innumerable scrambled set ornot.According to some concepts on symbolic dynamics and properties of minimal nonchaos on Sturmian System,a kind of subshift is made and it is generated by a nonperiodic recurrent orbit and study its properties.If a is a nonperiodic recurrent point and there is a period point in orb(a),orb(a) doesn′t contain an innumerable scrambled set.If a period point exists in a subshift generated by a nonperiodic recurrent orbit,it is not certain that the subshift contains an innumerable scrambled set.