Difference Equations and Nonlinear Boundary Value Problems for Hyperbolic Systems

Abstract

It is known that solutions of certain classes of linear hyperbolic systems with nonlinear boundary conditions and consistent initial conditions can be written via the iteration of a map of the interval. In this work we characterize the solutions of such problems, with a vortex as initial condition and the iteration of a bimodal map of the interval, using the bimodal topological invariants.