عنوان	Robust unbounded chaotic attractors in 1D discontinuous maps
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Unbounded chaotic attractors, Robust full measure chaotic attractors, Piecewise smooth systems, Full shift maps, Border collision bifurcations.
چکیده	In this paper we prove the existence of full measure unbounded chaotic attractors which are persistent under parameter perturbation (also called robust). We show that this occurs in a discontinuous piecewise smooth one dimensional map f, belonging to the family known as Nordmark’s map. To prove the result we extend the properties of a full shift on a finite or infinite number of symbols to a map, here called Baker like map with infinitely many branches, defined as a map of the interval I=[0,1] in to itself with infinitely branches due to expanding functions with range I except at most the rightmost one. The proposed example is studied by using the first return map in I, which we prove to be chaotic in I making use of the border collision bifurcations curves of basic cycles. This leads to a robust unbounded chaotic attractor, the interval (−∞,1], for the map f.
پژوهشگران	رویا مکرونی (نفر اول)، ندا عباسی (نفر دوم)، مهدی پوربرات (نفر سوم)، لورا گاردینی (نفر چهارم)