Abstract: This paper investigates the optimal rendezvous with power-limited propulsion systems and collision avoidance. A 26-state dynamic model is established including both translational and rotational dynamics. This model is effective for describing autonomous rendezvous with both a three-axis attitude stabilized target and a tumbling one. Collisions are prevented through setting a safety sp...

Keywords: System of ordinary quadratic differential equations Linear transformations Boundedness Limit cycle Chaotic attractor Saddle focus Ricker discrete population model a b s t r a c t The wide class of 3-D autonomous systems of quadratic differential equations, in each of which either there is a couple of coexisting limit cycles or there is a couple of coexisting chaotic attractors, is fou...

This paper presents a method and apparatus for building 3D dense visual maps of large scale environments for real-time localisation and autonomous navigation. We propose a spherical ego-centric representation of the environment which is able to reproduce photo-realistic omnidirectional views of captured environments. This representation is composed of a graph of locally accurate augmented spher...

In this paper, I examine the neoliberal transformation of civil society through Mitchel Foucault’s insights concerning knowledge, power, and governmentality. The objective paper is to trace evolving understandings how they relate governmental rationalities technologies power. traditional notion as a distinct autonomous sphere has shifted toward an intermediary associations approach under neolib...

We prove Gaussian estimates for heat kernels on semisimple Lie groups by using the method of Bloch wave representation. We also give a large time asymptotic expansion for heat kernels on compact extensions of abelian Lie groups.

This article has three goals. First, we generalize the result of Deuring and Serre on the characterization of supersingular locus to all Shimura varieties given by totally indefinite quaternion algebras over totally real number fields. Second, we generalize the result of Ribet on arithmetic level raising to such Shimura varieties in the inert case. Third, as an application to number theory, we ...

Bloch points in permalloy cylinders are investigated using a micromagnetic framework, where thermal effects are included via the Landau-Lifshitz-Bloch equation of motion. We show that this enables micromagnetic modeling of a Bloch point avoiding the problem of singularities, which have been rep0l1ed in the literature so far. The details of the Bloch point which we reveal are compared with earli...

Especially notable here is Spencer Bloch’s semi-regularity paper [B]. The advantage of this approach is that one can use the full strength of the deformation theory of subvarieties. One might similarly ask whether there is a family of algebraic cycles {Zt}t∈B deforming Z; some first steps toward an infinitesimal theory for this problem were the subject of [G-G2]. A third possible context, which...

SUMMARY This paper presents a methodology for designing single-degree-of-freedom expandable " free-form " structures composed of rigid blocks connected through simple cylindrical joints. The underlying idea is to interconnect two or more individually expandable plate structures. Using a two-dimensionally expanding sphere as a first example, the conditions that must be satisfied to preserve the ...

The characterization by weighted Lipschitz continuity is given for the Bloch space on the unit ball of Rn. Similar results are obtained for little Bloch and Besov spaces.