کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7543125 1489363 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria
چکیده انگلیسی
Recently sixteen 3-dimensional differential systems exhibiting chaotic motion and having no equilibria have been studied, and it has been graphically observed that these systems have a period-doubling cascade of periodic orbits providing a route to chaos. Here using new results on the averaging theory we prove that these systems exhibit, for some values of their parameters different to the ones having chaotic motion, either a zero-Hopf or a Hopf bifurcation, and graphically we observed that the periodic orbit starting in those bifurcations is at the beginning of the mentioned period-doubling cascade.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 151, September 2018, Pages 54-76
نویسندگان
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