The discovery of the chaotic motion planets in Solar System dates back more than 30 years. Still, no analytical theory has satisfactorily addressed origin chaos so far. Implementing canonical perturbation computer algebra system TRIP, we systematically retrieve secular resonances at work along orbital solution a forced long-term dynamics inner planets. We compare time statistic their half-width...

Exploiting the relative proximity of nearby strong-lens galaxy SNL-1, we present a critical comparison mass estimates derived from independent modelling techniques. We fit triaxial orbit-superposition dynamical models to spatially-resolved stellar kinematics, and compare constraints lens high-resolution photometry. From model, measure total (dynamical) enclosed within projected aperture radius ...

In this paper, a new robust control is proposed for a class of dynamical systems with uncertainties. The considered dynamical systems may be nonminimum phase systems. The designed controller requires only input output measurement of the system. First, by using least square approximation technique, nonminimum phase systems are approximated by minimum phase systems. Then, the uncertainty is appro...

In the light of recent experimental findings that gap junctions are essential for low level intensity detection in the sensory periphery, the Greenberg-Hastings cellular automaton is employed to model the response of a two-dimensional sensory network to external stimuli. We show that excitable elements (sensory neurons) that have a small dynamical range are shown to give rise to a collective la...

We propose a method of generating teaching policies for use in intelligent tutoring systems (ITS) for concept learning tasks [37], e.g., teaching students the meanings of words by showing images that exemplify their meanings à la Rosetta Stone [30] and Duo Lingo [13]. The approach is grounded in control theory and capitalizes on recent work by [28], [29] that frames the “teaching” problem as th...