In this paper we prove that at every energy level the anisotropic problem with small anisotropy has two periodic orbits which bifurcate from elliptic orbits of the Kepler problem with high eccentricity. Moreover we provide approximate analytic expressions for these periodic orbits. The tool for proving this result is the averaging theory.

close-up, the flower buds of the weed Arabidopsis thaliana appear almost animal-like. The scanning electron micrographs above show a whole inflorescence (top right) and two individual flower buds in detail. The bud of a Columbia wild-type plant shown at bottom right has an oval shape and is tightly closed — as buds normally remain until the anther matures inside. By contrast, the bud on the lef...

Frozen ponds: production and storage of methane during the Arctic winter in a lowland tundra landscape in northern Siberia, Lena River Delta M. Langer, S. Westermann, K. M. Walter Anthony, K. Wischnewski, and J. Boike Alfred-Wegener-Institut Helmholtz-Zentrum für Polarund Meeresforschung, Periglacial Research Section, Potsdam, Germany University of Oslo, Department of Geography, Oslo, Norway Ce...

This paper takes a dynamical systems perspective on the semantic structures of dynamic epistemic logic (DEL) and asks the question which orbits DEL-based dynamical systems may produce. The class of dynamical systems based directly on action models produce very limited orbits. Three types of more complex model transformers are equivalent and may produce a large class of orbits, suitable for most...

We propose algorithms to get representatives and the images of the moment map of conormal bundles of GL(p,C)×GL(q,C)-orbits in the flag variety of GL(p+q,C), and GL(p+q,C)-orbits and Sp(p,C)×Sp(q,C)-orbits in the flag variety of Sp(p+ q,C) and their signed Young diagrams.

We study the asymptotic behavior of almost-orbits of abstract evolution systems in Banach spaces with or without a Lipschitz assumption. In particular, we establish convergence, convergence in average and almost-convergence of almost-orbits both for the weak and the strong topologies based on the behavior of the orbits. We also analyze the set of almost-stationary points.

In this paper by means of a Poincaré map, we prove the existence of symmetric periodic orbits of the elliptic Sitnikov problem. Furthermore, using the presence of the Bernoulli shift as a subsystem of that Poincaré map, we prove that not all the periodic orbits of the Sitnikov problem are symmetric periodic orbits.