Ralph Abraham
Mathematics Department, University of California
Michael Nivala
Department of Medicine (Cardiology), David Geen School of Medicine, University of California
Abstract
Synchronization, long an important topic in the theory of nonlinear oscillation, has recently become a research frontier in chaos theory as well. Here we introduce the sync phenomenon for forced and coupled Rossler attractors, and its role in the context of complex economic systems. And we extend the basic framework developed by the late Richard Goodwin in his book, Chaotic Economic Dynamics, of 1990 to massively complex dynamical systems of chaotic elements. Recent experimental results and speculative applications to economic networks are presented.
Keywords
Chaos theory, Rossler attractor lattice, complex dynamical systems, economic geography, chaos synchronization
