An Intermediary Periodic Orbit for Hyperion

Prey-Predator System; Having Stable Periodic Orbit

The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.

Measurement of Hyperion MTF from On-Orbit Scenes

The Hyperion instrument was launched November 21, 2000 mounted on the EO-1 spacecraft into orbit 1 minute behind Landsat 7. Hyperion has a 7.5 km swath width, a 30 meter ground resolution and more than 220 spectral bands. Part of the on-orbit characterization involves MTF measurements from several ground scenes. These scenes included edges from the moon and glaciers as well as several bridges. ...

Periodic Orbit Theory

Periodic Orbit Expansions for Classical Smooth Ows

We derive a generalized Selberg-type zeta function for a smooth de-terministic ow which relates the spectrum of an evolution operator to the periodic orbits of the ow. This relation is a classical analog of the quantum trace formulas and Selberg-type zeta functions.

Periodic orbit asymptotics for intermittent Hamiltonian systems

We address the problems in applying cycle expansions to bound chaotic systems, caused by e.g. intermittency and incompleteness of the symbolic dynamics. We discuss zeta functions associated with weighted evolution operators and in particular a one-parameter family of weights relevant for the calculation of classical resonance spectra, semiclassical spectra and topological entropy. For bound int...