The inverse limits approach to chaos

DOI10.1016/j.jmateco.2007.11.001zbMath1161.37057OpenAlexW2062555645MaRDI QIDQ949648

James A. Yorke, David R. Stockman, Judy A. Kennedy

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmateco.2007.11.001

zbMATH Keywords

chaoscontinuum theorytopological entropyinverse limitscash-in-advance

Mathematics Subject Classification ID

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

Related Items (11)

Uniform measures on inverse limit spaces ⋮ Invariant measures on multi-valued functions ⋮ Abstract topological dynamics involving set-valued functions ⋮ Li-Yorke chaos in models with backward dynamics ⋮ \(\mathcal{F}\)-mixing property and \((\mathcal{F}_1,\mathcal{F}_2)\)-everywhere chaos of inverse limit dynamical systems ⋮ Fixed points imply chaos for a class of differential inclusions that arise in economic models ⋮ Basins of measures on inverse limit spaces for the induced homeomorphism ⋮ Balanced-budget rules: chaos and deterministic sunspots ⋮ TARIFF AND EQUILIBRIUM INDETERMINACY: A GLOBAL ANALYSIS ⋮ IMPLICIT EQUILIBRIUM DYNAMICS ⋮ Inverse limits with bonding functions whose graphs are arcs

Cites Work

• Chaotic equilibria in models with backward dynamics
• Inverse limit spaces arising from problems in economics
• Backward dynamics in economics. The inverse limit approach
• Chaotic dynamics in a cash-in-advance economy
• Monetary policy and price level determinacy in a cash-in-advance economy
• Invariant sets and inverse limits
• Inverse limits and an implicitly defined difference equation from economics
• Concerning hereditarily indecomposable continua
• On Endogenous Competitive Business Cycles
• Self-similarity in inverse limit spaces of the tent family
• Dynamical properties of the shift maps on the inverse limit spaces
• Period Three Implies Chaos
• The Dynamics of Continuous Maps of Finite Graphs through Inverse Limits
• Interesting Dynamics and Inverse Limits in a Family of One-Dimensional Maps
• Money and Interest in a Cash-in-Advance Economy
• Periodicity and Indecomposability
• Chaos, Periodicity, and Snakelike Continua
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