In this paper, we investigatethe boundary value problem for differential pencils on the half-linewith a turning point. Using a fundamental system of solutions, wegive a asymptotic distribution of eigenvalues.
We study the dynamics of one dimensional iterative maps in the regime of fully developed chaos. Introducing the concept of the turning points we extract from the chaotic trajectories the corresponding turning point trajectories which represent a strongly correlated part of the chaotic dynamics of the system. The density of turning points exhibits step like structures at the positions of the uns...
