We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the whole system, giving rise to a Parrondo's dynamic type paradox.
|Journal||Discrete and Continuous Dynamical Systems|
|Publication status||Published - 1 Feb 2018|
- Local and global asymptotic stability
- Non-hyperbolic points
- Parrondo's dynamic paradox
- Periodic discrete dynamical systems