Transitions to Chaos in a Seven-Equation Model of the Business Cycle with Income Redistribution and Private Debt

DOI10.1142/S0218127416500279zbMath1334.34098OpenAlexW2295141992MaRDI QIDQ2800717

Giorgio Colacchio

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416500279

zbMATH Keywords

business cycleperiod doubling bifurcationbistabilitytransitions to chaostristabilitynonlinear economic dynamics

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Uses Software

• XPPAUT

Cites Work

• Unnamed Item
• A clarification of the Goodwin model of the growth cycle
• Dynamic complexity in a Keynesian growth-cycle model involving Harrod's instability
• Unstable periodic orbits and chaotic economic growth
• Simulating, Analyzing, and Animating Dynamical Systems
• SEQUENCES OF CYCLES AND TRANSITIONS TO CHAOS IN A MODIFIED GOODWIN'S GROWTH CYCLE MODEL