@Preben Alsholm 

Thanks so much dear Preben....

Best

@Preben Alsholm 

The vertical axis in Fig. 2 is labeled y for convenience but
what it refers to is the amplitude of the y component of the
system's attractor.

 I also explained that in the published article that
I sent you, the y in the graph is not y(t), rather, it is
the amplitude of the y component of the system's attractor.

please see  several Wikipedia pages that
explain bifurcation diagrams and attractors in more elementary
contexts

 See the bifurcation diagram in the picture

   https://en.wikipedia.org/wiki/Logistic_map#/media/File:Logistic_Bifurcation_map_High_Resolution.png

It involves only elementary algebra -- no calculus at all!

Read the theory in:
   https://en.wikipedia.org/wiki/Logistic_map

Best

@Preben Alsholm 

Thanks so much...

is possible to plot for example y-A not for given value of A.?

Thanks

@Preben Alsholm 

Dear Preben ,
Have you found any time to answer my latest  question?
Best.
 

@Preben Alsholm 

Thanks so much dear Preben.

Best

@Preben Alsholm 

Thanks.

 I want to plot biforcation diagram for following equations (maple code).

In Bifurcation diagram, it is common, plotting curves versus some parameters.

I want to plot x versus a certain amount of beta parameter.

Please see Fig. 2a. [ manuscript entitled ''  On Hopf bifurcation in fractional dynamical systems 

''  Bifurcation diagram is plotted for the parameter A .]

The vertical axis in Fig. 2 is labeled y for convenience but what it refers to is the amplitude of the y component of the system's attractor.

BIO-ok.mw

HOPFF.pdf

@Preben Alsholm 

Thank you dear Preben..

@Preben Alsholm 

when I increase the amount of parameter (q) final plot will diverge.?

I doubt about parameter (q and L).

Why the number of replicates (L) is attributed to alpha. Because alpha is the order of fractional derivative? 

6.mw

@acer 

May you help me for plotting bifurcation graph in my past comment (another plot)?

thanks

@acer 

is possible anyone help me for plot bifurcation graph i.e. x versus beta (similar to fig2 in PDF file )?

Thanks 

@acer 

Thanks to all.

 I want to plot biforcation diagram for following equations (maple code)

In Bifurcation diagram, it is common, plotting curves versus some parameters.

I want to plot x versus a certain amount of beta parameter.

Please see Fig. 2a. [ manuscript entitled ''  On Hopf bifurcation in fractional dynamical systems 

''  Bifurcation diagram is plotted for the parameter A .]

The vertical axis in Fig. 2 is labeled y for convenience but
what it refers to is the amplitude of the y component of the
system's attractor.

HOPFF.pdf

BIO-ok.mw

@tomleslie 

Thanks. 

@tomleslie 

is possible to convert final data (for plotting graph)  to matlab file?

Thanks

@tomleslie 

I'm more comfortable with MATLAB software, and MATLAB  in graphical aspect  is more powerful than maple to modify the charts and also has a higher quality of the colors.

@Mac Dude 

may anyone  help me?

Thanks