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Nonlinear Dynamics

, 58:453 | Cite as

Higher-codimension bifurcations caused by delay

  • Mingshu Peng
  • Rong Yuan
Original Paper

Abstract

In this paper, we give a detailed study of rich dynamics in two-parameter families of two-dimensional generalized delayed discrete Cournot duopoly models. Multistability, such as the coexistence of period-2/quasiperiodic (limit-cycle), chaotic/regular motions or synchronized/asynchronized solutions are discussed. Complexity caused by delay, including the change of local stability regions and the occurrence of higher-codimension bifurcations, is to be discovered.

Keywords

Nonlinear duopoly economic model Higher-codimension bifurcation Chaos 2 symmetry Delay 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of MathematicsBeijing Jiao Tong UniversityBeijingChina
  2. 2.School of Mathematical SciencesBeijing Normal UniversityBeijingChina

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