Nonuniformly hyperbolic systems arising from coupling of chaotic and gradient-like systems
Nonuniformly hyperbolic systems arising from coupling of chaotic and gradient-like systems
We investigate dynamical systems obtained by coupling two maps, one of which is chaotic and is exemplified by an Anosov diffeomorphism, and the other is of gradient type and is exemplified by a N-pole-to-S-pole map of the circle. Leveraging techniques from the geometric and ergodic theories of hyperbolic systems, we …