Fixed points imply chaos for a class of differential inclusions that arise in economic models

DOI10.1090/S0002-9947-2012-05377-3zbMath1245.34017OpenAlexW2035963540MaRDI QIDQ5390248

Brian E. Raines, David R. Stockman

Publication date: 27 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05377-3

zbMATH Keywords

chaosfixed pointmultivalued dynamical systems

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (6)

Chaos for multivalued maps and induced hyperspace maps ⋮ Existence of chaos in the plane \(\mathbb{R}^2\) and its application in macroeconomics ⋮ Chaotic behavior and circuit implementation of a fractional-order permanent magnet synchronous motor model ⋮ Invariant measures on multi-valued functions ⋮ Sharkovsky-Type Theorems on S1 Applicable to Differential Equations ⋮ On the notion of random chaos

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