An extension of Schwarzschild’s (1979) galaxy-building technique is presented that, for the first time, enables one to build Schwarzschild models with known distribution functions (DFs). The new extension makes it possible to combine a DF that depends only on classical integrals with orbits that respect non-classical integrals. With such a combination Schwarzschild’s orbits are used only to rep...

We consider the secular-perturbation expansion of the classical Hamiltonian equations of motion for three mutually gravitating bodies, and we use the formalism to study the dynamical evolution of hierarchical three-body systems to octupole-level accuracy. Our study is partly motivated by recent observations of exoplanetary systems, which may include two giant planets strongly perturbing each ot...

An extension of Schwarzschild's (1979) galaxy-building technique is presented that, for the rst time, enables one to build Schwarzschild models with known distribution functions (DFs). The new extension makes it possible to combine a DF that depends only on classical integrals with orbits that respect non-classical integrals. With such a combination Schwarzschild's orbits are used only to repre...

 In this paper by use of mathematical modeling of an observer [14,15] the notion of relative information functional for relative dynamical systemson compact metric spaces is presented. We extract the information function ofan ergodic dynamical system (X,T) from the relative information of T fromthe view point of observer χX, where X denotes the base space of the system.We also generalize the in...

This work presents a method to obtain inner and outer approximations of the region of attraction of a given target set as well as an admissible controller generating the inner approximation. The method is applicable to constrained polynomial dynamical systems and extends to trigonometric and rational systems. The method consists of three steps: compute outer approximations, extract a polynomial...

Due to dynamical friction stellar mass black holes should form a cusp in the inner parsec. Calculations [5, 6] show that approximately 20 thousand black holes would be present in a sphere with radius of about a parsec around Sgr A*. The presence of these objects opens up the possibility that they might be accreting “cool” gas (i.e. the Minispiral) as discussed by Morris [6]. Here we calculate t...

Introduction: In this paper, a novel complexity measure is proposed to detect dynamical changes in nonlinear systems using ordinal pattern analysis of time series data taken from the system. Epilepsy is considered as a dynamical change in nonlinear and complex brain system. The ability of the proposed measure for characterizing the normal and epileptic EEG signals when the signal is short or is...

Maritime work is dynamical. As the ship sails, conditions change and so do the information needs. If instrumentation is to keep pace with these changing demands, it must be flexible and tailorable. Since, in addition, self-description and verbalization are important ingredients in maritime work, the system too must be able to present its inner state in a comprehensible manner.

Successful execution of many robotic tasks requires precise control of robot motion and its interaction with the environment. In robotics these two problems are mainly studied separately in the domain of robot motion generation and interaction control, respectively. Existing approaches rely on two control loops: a motion generator (planner) that provides a reference trajectory in the outer loop...