simply search for State Dependent Parameter (SDP) Models.

Dear Ghasem,

Among other possiblilities you can use symbolic dynamics to perform such an issue. For the specific case of the logistic map, we have published this paper  in Chaos

http://digital.csic.es/bitstream/10261/21608/1/GetPDFServlet.pdf

and these two other papers in Communications in Nonlinear Science and Numerical Simulation:

http://arxiv.org/abs/0903.2928

http://arxiv.org/abs/1204.6514

In addition it can be useful these papers by Ulritz Parlitz:

http://www.eecs.berkeley.edu/~chua/papers/Parlitz96.pdf

http://link.springer.com/article/10.1140/epjst/e2013-01859-2

Best regards,

David

Ghesam,

   You might want to check out the program Phaser for mapping nonlinear

models.

    Regards,

       Robert Yaffee