On growing through cycles: Matsuyama's M-map and Li-Yorke chaos

DOI10.1016/j.jmateco.2017.10.007zbMath1388.91129OpenAlexW2767289357MaRDI QIDQ684163

Liuchun Deng, M. Ali Khan

Publication date: 9 February 2018

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmateco.2017.10.007

zbMATH Keywords

cyclesiterationsLi-Yorke chaos3-periodKP-constructionMatsuyama's model

Mathematics Subject Classification ID

Economic growth models (91B62) Dynamical systems in optimization and economics (37N40) Economic dynamics (91B55)

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Cites Work

• Unnamed Item
• Revisiting the model of credit cycles with good and bad projects
• A note on chaos
• Chaotic equilibria in models with backward dynamics
• A consistent route to randomness
• Growing through chaotic intervals
• Balanced-budget rules: chaos and deterministic sunspots
• Permutations, periodicity, and chaos
• On topological chaos in the Robinson-Solow-Srinivasan model
• Optimal ergodic chaos under slow capital depreciation
• Growing Through Cycles
• A suffficient condition for topological chaos with an application to a model of endogeneous growth
• Discounting and long-run behavior: Global bifurcation analysis of a family of dynamical systems
• Growing through cycles in an infinitely lived agent economy