In this paper a closing lemma for C1 nonsingular endomorphisms equivariant under free actions of finite-groups is proved. Hence a recurrent trajectory, as well as all of its symmetric conjugates, of a C1 nonsingular endomorphism equivariant under a free action of a finite group can be closed up simultaneously by an arbitrarily small C1 equivariant perturbation.

In this first paper, we consider how to putt a golf ball on an uneven green so that it arrives at the cup with minimal speed.

background:  the  current study examined race and ethnic differences in the separate and combined (additive) effects of anxiety, depression and problem drinking on the baseline and trajectory of subjective health among adult men in the united states. methods:  this longitudinal study used data from the fragile families and child well-being study. we included 4655 men, composed of 2407 blacks, 1...

Continuously moving objects are prevalent in many domains. Although there have been attempts to combine both spatial and temporal relationships from a reasoning, a database, as well as from a logical perspective, the question remains how to describe motion adequately within a qualitative calculus. In this paper, a Qualitative Trajectory Calculus (QTC) for representing and reasoning about moving...

in this paper, a robust tracking control method for automatic take-off and trajectory tracking of a quadrotor helicopter is presented. the designed controller includes two parts: a position controller and an attitude controller. the attitude controller is designed by using the sliding mode control (smc) method to track the desired pitch and roll angles, which are the output of position controll...

This paper develops a computational technique for finding the maximum allowable load of mobile manipulators for a given trajectory. The maximum allowable loads which can be achieved by a mobile manipulator during a given trajectory are limited by the number of factors; probably the dynamic properties of mobile base and mounted manipulator, their actuator limitations and additional constraints a...

In this paper we explore trajectory clustering as a means for representing the normal behavior of vessels in a coastal surveillance scenario. Trajectory clustering however suffers from some drawbacks in this type of setting and we therefore propose a new approach, spline-based clustering, with a potential for solving the task of representing the normal course of events.