Hopf bifurcation and topological horseshoe of a novel finance chaotic system |
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| Authors: | Chao Ma Xingyuan Wang |
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| Institution: | School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | 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. |
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| Keywords: | Finance chaotic system Hopf bifurcation Topological horseshoe |
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