Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 889-904 |
Journal | Discrete and Continuous Dynamical Systems- Series A |
Volume | 38 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Feb 2018 |
Keywords
- Local and global asymptotic stability
- Non-hyperbolic points
- Parrondo's dynamic paradox
- Periodic discrete dynamical systems