Subordination of Semidynamical Systems

On Negative Escape Time in Semidynamical Systems

We present the correction of some incorrectness in the paper [12]. The paper [12] is of fundamental meaning in the theory of semidynamical systems. In this paper R.C. McCann defined the negative escape time in semidynamical systems which is, intuitively, “the minimum time length of all negative trajectories through x” . This concept is of great importance in many investigations in the theory. I...

Semidynamical Systems and Hilbert’s Fifth Problem

g : [0,∞)×X → X and g(t, x) = T (t)x, t ≥ 0, x ∈ X, then g is continuous. For many semigroups strong continuity implies joint continuity. A function gx as in (1) is called a trajectory of T . If T has domain all of R instead of just [0,∞) we refer to T as a ‘group’. In his Fifth Problem, Hilbert asked whether assumptions of differentiability that Sophus Lie made were actually a consequence of L...

Topologic Conjugation and Asymptotic Stability in Impulsive Semidynamical Systems

We prove several results concerning topologic conjugation of two impulsive semidynamical systems. In particular, we prove that the homeomorphism which defines the topologic conjugation takes impulsive points to impulsive points; it also preserves properties as limit sets, prolongation limit sets, the minimality of positive impulsive orbits as well as stability and invariance with respect to the...

1 Subordination at the Interface : the Quasi - Subordination Hypothesis

The subordination of clauses, and the recursion which results, lies at the heart of linguistic representation. Yet there are many aspects of subordination that are not fully understood. An enduring puzzle is that some clauses which appear to be structurally subordinate nevertheless pattern with main clauses in certain, but not all, respects. This paper posits that such clauses, which we term “q...

Subordination by convex functions