The Parrondo’s paradox for tent maps

Resumen

The dynamic Parrondo’s paradox states that the combination of two dynamically simple (resp. chaotic) maps gives rise to a chaotic (resp.simple) dynamical behavior. Here, we analyze whether the paradox appears when we combine piecewise linear maps. In particular, we consider the combination of a piecewise linear homeomorphism and the family of tent maps a*x*min{x,1-x}, where 0<a<1 and check whether theparadox simple+simple=complex appears. On the other hand, we consider two tent maps and check whether the paradoxcomple+complex=simple takes place.