Abstract Unimodular gravity is an alternative theory of to general relativity. The gravitational field equations are given by the trace-free version Einstein’s equations. Due structure theory, unimodular admits a diffusion term that characterizes possible non-conservation canonical energy-momentum tensor locally. Employing this feature gravity, in present work, we explicitly show how construct ...

We study the effect of time-dependent, non-conservative perturbations on dynamics along homoclinic orbits to a normally hyperbolic invariant manifold. assume that unperturbed system is Hamiltonian, and manifold parametrized via action-angle coordinates. The excursions can be described scattering map, which gives future asymptotic an orbit as function its past asymptotic. provide explicit formul...

This article deals with cooperation issues in international pollution problems in a two dimensional dynamic framework implied by the accumulation of the pollutant and of the capital goods. Assuming that countries do reevaluate at each period the advantages to cooperate or not given the current stocks of pollutant and capital, and under the assumption that damage cost functions are linear, we de...