Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume 27, Issue 5, Pages 2833-2848Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2021162
Keywords
q-deformations; global stability; topological entropy; chaos; bifurcations
Categories
Funding
- Agencia Estatal de Investigacion (AEI) y Fondo Europeo de Desarrollo Regional (FEDER) [MTM2017-84079-P]
Ask authors/readers for more resources
The paper discusses the non-zero fixed points of the composition map f(a) circle phi(q) of the logistic family fa and a family of homeomorphisms phi(q), as well as the dynamics of the q-deformed system with special emphasis on parameters values that exhibit Parrondo's paradox. The study explores the dynamics when multiple q-deformations are applied.
We consider the logistic family fa and a family of homeomorphisms phi(q). The q-deformed system is given by the composition map f(a) circle phi(q). We study when this system has non zero fixed points which are LAS and GAS. We also give an alternative approach to study the dynamics of the q-deformed system with special emphasis on the so-called Parrondo's paradox finding parameter values a for which fa is simple while f(a) circle phi(q) is dynamically complicated. We explore the dynamics when several q-deformations are applied.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
