Open AccessAn example of superstable quadratic mapping of the space
Author(s) -
Zeraoulia Elhadj
Publication year - 2009
Publication title -
facta universitatis - series electronics and energetics
Language(s) - English
Resource type - Journals
eISSN - 2217-5997
pISSN - 0353-3670
DOI - 10.2298/fuee0903385e
Subject(s) - chaos (operating system) , quadratic equation , mathematics , space (punctuation) , bifurcation , pure mathematics , computer science , physics , geometry , nonlinear system , quantum mechanics , computer security , operating system
It is shown rigorously in this paper that an elementary 3-D quadratic map- ping is superstable, i.e. it is superstable for some ranges o f its bifurcation parameters. Numerical results that confirm the theory are also given and d iscussed. These numer- ical results give a new route to chaos which we call: the superstable quasi-periodic route to chaos.
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