A Simple Financial Market Model with Heterogeneous Speculators: 2-dimensional Discontinuous System

Abstract

This paper aims at a financial market model with interacting chartists and fundamentalists and chase sell, the model dynamics is driven by a two-dimensional discontinuous piecewise linear map. The parameter space is partitioned into regions depending on the types of the fixed points at the two sides of the border. For the fixed points of both sides are attractors (regular/ spiral/flip), the existence and coexistence of periodic points are studied analytically and numerically. The existence of chaotic orbit is explained by using the theory of homoclinic intersection for stable and unstable manifold of periodic orbit. The basins of coexisting multi-attractors are presented. The results can deep our knowledge of both financial market and dynamical system.