2010/03/31 by Subhashish Banerjee, R. Parthasarathy · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Artificial intelligence #Chaos control and synchronization #Chaotic #Computer science #Logistic function #Logistic map #Logistic regression #Lyapunov exponent #Mathematics #Physics #Quantum chaos and dynamical systems #Stability (learning theory) #Statistical physics #Statistics #nlin.CD
paper · pdf · doi:10.1088/1751-8113/44/4/045104
7 pages and 11 figures
arxiv created 2010/03/31 · openalex publication_date 2011/01/04 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 the 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.