We study minimal sets on continua X with a dense free interval J and locally connected remainder. This class of includes important spaces such as the topologist's sine curve or Warsaw circle. In case when remainder are known is connected, we obtain full characterization topological structure sets. particular, given in X∖J local dendrite.

Stieltjes' constants γn are the coefficients in Laurent series for zeta function ζ(s) at pole s=1 (Euler's constant γ0 is term of this expansion). The main result paper construction new sequences approximations any one γn. rests on a generalization “remainder Padé approximants” method introduced by first named author 1996. We also focus γ1 which we construct faster using ordinary remainder appr...

In this work, a chaotification technique is proposed that can be used to enhance the complexity of any one-dimensional map by adding remainder operator it. It shown an appropriate parameter choice, resulting achieve higher Lyapunov exponent compared its seed map, and all periodic orbits period will unstable, leading robust chaos. The tested on several maps from literature, yielding increased ch...