کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759637 896485 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hopf bifurcation and topological horseshoe of a novel finance chaotic system
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Hopf bifurcation and topological horseshoe of a novel finance chaotic system
چکیده انگلیسی

This paper deals with the existence of both Hopf bifurcation and topological horseshoe for a novel finance chaotic system. First, through rigorous mathematical analysis, we show that a Hopf bifurcation occurs at systems’ three equilibriums S0,1,2 and Hopf bifurcation at equilibrium S0 is non-degenerate and supercritical. Second, the computer-assisted verifications for horseshoe chaos in the system are given. Simulation results are presented to support the analysis.


► We study a financial chaotic system using a method which combines mathematics and computer in this paper.
► The Hopf bifurcation of the system is discussed by a rigorous mathematical analysis.
► The existence of the topological horseshoe in this system is proved by a computer-assisted method.
► The results obtained in this paper would benefit the further studies of this finance chaotic system.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 2, February 2012, Pages 721–730
نویسندگان
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