Hidden and self-excited attractors in a heterogeneous Cournot oligopoly model

Marius-F. Danca and Marek Lampart

Chaos, Solitons & Fractals, 2021, vol. 142, issue C

Abstract: In this paper it is numerically shown that the dynamics of a heterogeneous Cournot oligopoly model depending on two bifurcation parameters can exhibit hidden and self-excited attractors. The system has a single equilibrium and a line of equilibria. The bifurcation diagrams show that the system admits several attractor coexistence windows, where the hidden attractors can be found. Depending on the parameters ranges, the coexistence windows present combinations of periodic, quasiperiodic and chaotic attractors.

Keywords: Hidden attractor; Self-excited attractor; Cournot oligopoly model (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920307657

DOI: 10.1016/j.chaos.2020.110371

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