A q-deformed logistic map and its implications
arXiv:1003.5994 · doi:10.1088/1751-8113/44/4/045104
Abstract
A new q-deformed logistic map is proposed and it is found to have concavity in parts of the x-space. Its one-cycle and two-cycle non-trivial fixed points are obtained which are found to be qualitatively and quantitatively different from those of the usual logistic map. The stability of the proposed q-logistic map is studied using Lyapunov exponent and with a change in the value of the deformation parameter q, one is able to go from the chaotic to regular dynamical regime. The implications of this q-logistic map on Parrondo's paradox are examined.
7 pages and 11 figures
References in corpus (9)
- Brownian motors: noisy transport far from equilibrium
- Quantum Parrondo's Games
- Normal Ordering for Deformed Boson Operators and Operator-valued Deformed Stirling Numbers
- Discrete--time ratchets, the Fokker--Planck equation and Parrondo's paradox
- Quantum coherence, correlated noise and Parrondo games
- Interacting particles system revisited in the framework of the q-deformed algebra
- q-Uncertainty Relations
- q-Fermionic Numbers and Their Roles in Some Physical Problems
- Coherent States, Dynamics and Semiclassical Limit on Quantum Groups