A suffficient condition for topological chaos with an application to a model of endogeneous growth

DOI10.1006/jeth.2000.2738zbMath0980.91062OpenAlexW2008263558MaRDI QIDQ5931246

Tapan Mitra

Publication date: 24 April 2001

Published in: Journal of Economic Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jeth.2000.2738

zbMATH Keywords

endogenous growthchaotic equilibrium growthtopological chaos

Mathematics Subject Classification ID

Economic growth models (91B62) Dynamical systems in optimization and economics (37N40) Catastrophe theory (58K35)

Related Items (19)

Continuous unimodal maps in economic dynamics: on easily verifiable conditions for topological chaos ⋮ Shilnikov chaos in the Lucas model of endogenous growth ⋮ Environmental tax policy, habit formation and nonlinear dynamics ⋮ On topological chaos in the Robinson-Solow-Srinivasan model ⋮ On the complexity of economic dynamics: an approach through topological entropy ⋮ R\&D subsidies, income taxes, and growth through cycles ⋮ Homoclinic bifurcation and the Belyakov degeneracy in a variant of the Romer model of endogenous growth ⋮ The dynamics of the Stiglitz policy in the RSS model ⋮ Chaos for implicit difference equations with snap-back repellers ⋮ Growing through chaos in the Matsuyama map via subcritical flip bifurcation and bistability ⋮ Productive public expenditures, expectation formations and nonlinear dynamics ⋮ Financial liberalization: poverty trap or chaos ⋮ On growing through cycles: Matsuyama's M-map and Li-Yorke chaos ⋮ Growing through chaotic intervals ⋮ The dynamics of the NAIRU model with two switching regimes ⋮ Introduction to intertemporal equilibrium theory: Indeterminacy, bifurcations, and stability ⋮ On Mitra's sufficient condition for topological chaos: seventeen years later ⋮ Public and private expenditures on health in a growth model ⋮ An Economy Can Have a Lorenz-Type Chaotic Attractor

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics in one dimension
• On the nature of turbulence
• Period Three Implies Chaos
• Growing Through Cycles
• Topological Entropy
• Periodic Points and Measures for Axiom a Diffeomorphisms
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Chaotic equilibrium dynamics in endogeneous growth models

This page was built for publication: A suffficient condition for topological chaos with an application to a model of endogeneous growth