کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
759637 | 896485 | 2012 | 10 صفحه PDF | دانلود رایگان |

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.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 2, February 2012, Pages 721–730