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Dynamics analysis for a discrete dynamic competition model
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DOI：10.1186/s13662-019-2149-6.png)
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Abstract
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In this paper, the dynamics of a discrete market share attraction model are investigated. It shows that the system can undergo flip bifurcation and chaos. The stability and bifurcation of a market share attraction model are analyzed by using the bifurcation theory and the center manifold theorem. The system displays complex dynamical behaviors, including period-1, 2,4, 6, 8, 16 orbits, invariant cycle, a cascade of period-doubling, quasi-periodic orbits, and the chaotic sets. Numerical simulations illustrate the analysis and results.
Keywords:
Stability
Flip bifurcation
Discrete
Dynamic competition model
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