Dear Colleagues,
Thanks for your prompt responses. But if we plot bifurcation diagram, lypanuov exponent and tragectory plot for function rx(2-3x) it shows different behaviour. So, it attracted my attention to do work on it. The bifurcation diagram of rx(2-3x) suggests that there is no bifurcation but only a little discrete chaos has rate of convergence good as compared with logistic map. If anyone interested in doing work on this new scheme, please send me the email through which we can communicate and whatsapp number also, so that frequency of interaction shall be increased and neck to neck traversing of results can be made jointly.
Manish
Use two-parameter family in this case as: 2rx(1-1.5x), replace 1.5 by another parameter. You can do iterations like this:
https://www.hindawi.com/journals/aaa/2020/7917184/
or
https://www.ijmems.in/article_detail.php?vid=5&issue_id=23&article_id=285
I hope that it will help.
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