Super Stable Kählerian Horseshoe?

Different Types of Chaos in Two Simple Differential Equations*

Different types of chaotic flow are possible in the 3-dimensional state spaces of two simple nonlinear differential equations. The first equation consists of a 2-variable, double-focus subsystem complemented by a linearly coupled third variable. It produces at least three types of chaos: Lorenzian chaos, "sandwich" chaos, and "horseshoe" chaos. Two figure 8-shaped chaotic regimes of the latter ...

Long-term stability of horseshoe orbits

Unlike Trojans, horseshoe co-orbitals are not generally considered to be long-term stable. As the lifetime of Earth’s and Venus’s horseshoe co-orbitals is expected to be about a Gyr, we investigated the possible contribution of late-escaping inner planet co-orbitals to the lunar Late Heavy Bombardment. Contrary to analytical estimates, we do not find many horseshoe objects escaping after the fi...

Position of horseshoe crabs in estuarine food webs: N and C stable isotopic study of foraging ranges and diet composition

To discern the position of horseshoe crabs as a potentially important predator in estuarine food webs, we determined where they foraged and what they ate. We used N and C stable isotopes to link adult horseshoe crabs to their foraging locations and potential food sources in Pleasant Bay, Cape Cod. The dN in tissues of horseshoe crabs and their potential foods suggest crabs were loyal to local f...

Nearly Kählerian Embeddings of Symplectic Manifolds

Horseshoe Periodic Orbits for Saturn Coorbital Satellites

We consider the motion of coorbital satellites in the framework of the Restricted Three Body problem for We show a mechanism to generate horsehoe periodic orbits and we compute some families of horseshoe periodic orbits when vary ing the Jacobian constant We conclude that there exist stable horseshoe periodic orbits which t with the motion of Saturn coorbital satellites Janus and Epimetheus