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Synchronization and bifurcation in an economic model.

Victor E Camargo1, Amaury S Amaral1, Antônio F Crepaldi2

  • 1Department of Physics-FFCLRP, University of São Paulo, Ribeirao Preto-SP 14040-901, Brazil.

Chaos (Woodbury, N.Y.)
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Summary
This summary is machine-generated.

This study explores synchronization in coupled economic systems. We found broad synchronized states, but increasing coupling can lead to desynchronization, confirmed by stability analysis.

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Area of Science:

  • Economics
  • Complex Systems
  • Dynamical Systems Theory

Background:

  • Economic systems exhibit complex dynamics, including chaotic attractors and limit cycles.
  • Understanding synchronization in coupled systems is crucial for economic modeling.

Purpose of the Study:

  • To analyze the synchronization behavior of two coupled idealized economic systems.
  • To investigate the impact of network coupling on synchronization states.

Main Methods:

  • Lyapunov exponents to analyze isolated economy dynamics.
  • Master Stability Function (MSF) method to assess stability of synchronized states.
  • Systematic exploration of control parameter space as a function of coupling strength.

Main Results:

  • Isolated economies display complex transitions between chaotic attractors and limit cycles.
  • A broad region of fully synchronized states was identified for coupled economies.
  • Increasing coupling strength led to emergent phenomena like smooth and intermittent loss of synchronization.
  • Phase synchronization was observed for specific control parameters.
  • MSF analysis confirmed extensive parameter ranges leading to desynchronization.

Conclusions:

  • Coupled economic systems can achieve robust synchronization over wide parameter ranges.
  • Desynchronization is a critical phenomenon that emerges with increased coupling strength.
  • The study highlights the complex interplay between system dynamics, coupling, and synchronization in economic models.